Answers
Evaluating The function
f(x) = 8x - 3 ;
f(0) = -3
f(4) = 29
f(-4) = -35
f(2) = 13
f(-3) = -27
What is Function ?Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The collection of values that might result in a function's outputs is known as the co-domain.
The function
f(x) = 8x - 3
Evaluating
f(0) = 8 *0 - 3 = -3
f(4) = 8*4 -3 = 29
f(-4) = 8*(-4) -3 = -35
f(2) = 8*2 - 3 = 13
f(-3) = 8(-3) -3 = -27
To learn more about Function refer to :
https://brainly.com/question/29131910
#SPJ1
Related Questions
d dianna are going to drive together to a nearby theme park. the car they are using has seats: driver seat, front passenger seat, and back passenger seat. bonnie and carlo are the only ones who know how to drive the car. how many possible seating arrangements are there?
Answers
There are 12 possible seating arrangement that Ali, Bonnie, Carlo, and Dianna can seat in a 4 seated car while visiting to a nearby theme park.
There are in total 4 people so the the possible seating arrangement should be 4! = 4*3*2 = 24.
But only 2 people know how to drive a car that is Bonnie and Carlo,
So the remaining seat can be occupied by any three that are remaining beside the driver.
So 3 remaining people can go in the front passenger seat.
There are 2 people who can go in the first back passenger seat.
The remaining person must go in the last seat.
Thus, there are 2x3x2 or 12 ways that they can be seated.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Learn more about Probability:
https://brainly.com/question/16716526
#SPJ4
A chef preheats an oven. It starts at room temperature, 68°F, and heats up 23°F per minute. How long does it take for the oven temperature to reach 275°F?
Please help me.
Answers
====================================================
Explanation:
x = number of minutes
y = temperature
The equation is
y = 23x+68
The slope 23 tells us how fast the oven is heating up. The 68 is the y intercept, and it's the starting temperature (when x = 0).
We want to find the value of x when y = 275
y = 23x+68
275 = 23x+68
275-68 = 23x
207 = 23x
23x = 207
x = 207/23
x = 9
It takes 9 minutes for the oven to reach a temperature of 275°F
--------
Check:
y = 23x+68
y = 23*9+68
y = 207+68
y = 275
The answer is confirmed.
If you run at an average speed of 10 mi/h, how long will it take you to run 2.5 miles? (Write the answer with minutes at the end. e.g. 10 minutes)
Answers
It will take 15 minutes to run 2.5 miles at an average speed of 10 miles per hour.
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
Given, you run at an average speed of 10 mi/h.
Since,
Average speed = 10 mi/h
or in minutes
Average speed = 10/60 = 1/6 miles per minutes
Thus,
to run 2.5 miles it will take:
time = distance/ speed
time taken to run 2.5 miles = 2.5 * 6 =15 minutes
therefore, to run 2.5 miles at the average speed of 10mi/h it will take 15 minutes.
Learn more about speed here:
https://brainly.com/question/28224010
#SPJ1
list two possible values of c given the following values of b, for x^2+bx+c if c>0
part a:b=7
part b:b=-3
part c:b=6
part d:b=12
Answers
The value of b is 7 and the value of c is 6 for the quadratic equation.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The possible value of the constants are:-
x²+ bx + c
x² + 7x + 6
x² + 6x + x + 6
x ( x + 6 ) + 1 ( x + 6 )
( x + 6 ) ( x + 1 )
To know more about quadratic equations follow
https://brainly.com/question/1214333
#SPJ1
For what value of k has real and equal roots?
Answers
For [tex]$\mathrm{k}=2$[/tex] and[tex]$\mathrm{k}=-\frac{10}{9}$[/tex]given equation will have real and equal roots.
What are real and equal roots?If D=0, a quadratic equation has two roots that are equal. D (discriminant) = 0 b24ac=0 is required for a quadratic equation to have equal roots.If the discriminant of a quadratic equation is 0, then its roots are equal. A quadratic equation has equal roots if both of these roots are equal to the derivative's root. A quadratic function has no real roots and does not intersect the x-axis if the discriminant of the function is less than zeroOn comparing given equation with [tex]$\mathrm{ax}^2+\mathrm{bx}+\mathrm{c}=0$[/tex]we get,[tex]$a=1, b=-2(1+3 \mathrm{k})$[/tex] and [tex]$c=7(3+2 \mathrm{k})$[/tex]
For the roots to be real and equation D must be equal to zero,
[tex]\mathrm{D} & =\mathrm{b}^2-4 \mathrm{ac} \\[/tex]
[tex]0 & =4(1+3 \mathrm{k})^2-4 \times[7(3+2 \mathrm{k})] \\[/tex]
[tex]& =9 \mathrm{k}^2+6 \mathrm{k}+1-21-14 \mathrm{k} \\[/tex]
[tex]9 \mathrm{k}^2-8 \mathrm{k}-20 & =0[/tex]
The given equation will have equal roots, if
[tex]9 k^2-8 k-20 & =0 \\[/tex]
[tex](k-2)(9 k+10) & =0 \\[/tex]
[tex]k-2=0 \text[/tex] and [tex]9 k+10 & =0 \\[/tex]
[tex]k=2 \text[/tex] and [tex]k & =-\frac{10}{9}[/tex]
Hence, for [tex]$\mathrm{k}=2$[/tex] and[tex]$\mathrm{k}=-\frac{10}{9}$[/tex]given equation will have real and equal roots.
The complete question is,
Find the values of [tex]$\mathrm{k}$[/tex] for which the given equation has real and equal roots
[tex]$$\mathrm{x}^2-2 \mathrm{x}(1+3 \mathrm{k})+7(3+2 \mathrm{k})=0$$[/tex]
To learn more about equal roots refer to:
https://brainly.com/question/24147137
#SPJ4
This table shows Carter's October budget. How much money does Carter need to earn at the
bike shop to keep his budget balanced? Complete the table.
Carter's October budget
Income
Dog walking: $20
Working at the bike shop: $
Gift from uncle: $50
Pet sitting: $35
Total: $
Save answer
Expenses
Costume: $40
Fixing bike: $25
Corn maze: $15
Saving for college: $170
Total: $
Answers
$145 money does Carter need to earn at the bike shop to keep his budget balanced
What is budget?The projection of future income and spending is done using a budget. Simply expressed, a budget accounts for both anticipated income and costs as well as future saving and spending. A budgeting method enables you to prepare for your income and spending over a specific time period. For instance, planning a monthly budget involves considering how much money you'll have coming in and going out each month. Surplus, Balanced, and Deficit Budgets are the three types of yearly government finances based on projections.
Dog walking: $20 Costume: $40
Working at the bike shop: $145 Fixing bike: $25
Gift from uncle: $50 Corn maze: $15
Pet sitting: $35 Saving for college: $170
Total: $250 Total: $250
To know m ore about budget refer to:
https://brainly.com/question/29028797
#SPJ1
I need help with this please
Answers
a = 15, b = -14, c = -5, d = 25
What is identities values? How to solve it?Identity values are equations that are true no matter what value is assigned to the variable. In mathematics, identity values (sometimes referred to as identity equations) are equations that are true regardless of the value of the variables. For example, the identity value for addition is a + 0 = a. This is true for any value of a.To solve an identity value, first identify the equation. Then, substitute a value for the variable. If the equation is still true, then it is an identity value. For example, if a = 4 and we plug that into the equation a + 0 = a, we get 4 + 0 = 4. This is still true, so it is an identity value.In summary, identity values are equations that are true regardless of the value of the variable. To solve an identity value, first identify the equation and then substitute a value for the variable. If the equation is still true, then it is an identity value.
Solution:
The equation 8(x+5)+8(x-9) = ax + b can be rewritten as 8x + 40 + 8x - 72 = ax + b, which simplifies to 16x - 32 = ax + b. Since 16x - 32 = ax + b, we can solve for a and b to get a = 15 and b = -14. The equation 7(x + c) + 3(x+d) = 10x + 28 can be rewritten as 7x + 7c + 3x + 3d = 10x + 28, which simplifies to 10x + 7c + 3d = 10x + 28. Since 10x + 7c + 3d = 10x + 28, we can solve for c and d to get c = -5 and d = 25.To learn more about identity values refer to:
https://brainly.com/question/1675364
#SPJ1
1.) what is the concave up?
2.) what is the concave down?
3.) what are the y-intercept coordinates?
4.) what is the increasing value?
5.) what is the decreasing value?
6.) what is the end behavior of the graph?
6.) what is the factored form?
7.) what is the standard form?
8.) does the graph have a relative min/max or a absolute max/min
Please explain the answers as well.
Thank you so much!
Answers
Where the derivative of a function f′ is rising, the function f is concave up (or upwards). The function f is concave up when the derivative of a function f′ is rising (or upwards).
How do you locate concave up and decrease?When a function is concave, the second derivative must be obtained, set to zero, and then used to establish the range of zero values in which the function is negative. Test values on each side of these to see if the function is negative and hence dropping.
A section of the graph of f has an upward concavity if the curve "bends" upward. The entire y=x2 parabola is concave upward, for instance. A section of the graph of f is concave downhill if the curve "bends" downward.
Concave up is from (-∞ , 1]
Concave down is from [1, ∞)
y-intercept coordinates = - 8.2, 4
increasing value = x = - 8
decreasing value = x = 2.1
end behavior of the graph = downwards
factored form = y = a(x-r)(x-s)
y = a(x+2)(x-1)
-8.2 = a(-8 + 2)(-8-1)
-10 = a (-6)(-9)
a = 10/54
factored form = y = 10/54 (x+2)(x-1)
standard form = Ax + By = C
Yes, the graph has relative min/max values,
min = (-8,8.2)
max = (2.1,4)
To learn more about concave up refer to:
https://brainly.com/question/30000479
#SPJ1
I need the work and the answer
Answers
Answer: 70
Step-by-step explanation: 14 + 6 = 20, 20 time 5 is 100, so 14 times 5 is the answer
Liczba o 8 mniejsza od iloczynu liczb w i 3
Answers
Answer: 3w-8
Step-by-step explanation: I don't quite understand you because I speak English but it's 3w-8
What is the nearest 100 to 350?
Answers
The nearest multiple of 100 to 350 is 400.
We must determine the smallest value of x that comes the closest to the specified number n given two values, n and x. We must identify a k such that x*k is most similar to n. If we use k = n/x, we may not get the maximum value of k. By comparing the values of floor(n/x)*x and ceil(n/x)*x, we may get the nearest.
Rounding off numbers are discussed here, where we need to round a number. Rounding can be done for every place value of a number.
We round off a number to the closest multiple of hundreds when we want to represent it in hundreds. For instance: 300 is farther from 200 than 225. Thus, 225 is reduced to 200.
To know more about nearest multiples visit :
https://brainly.com/question/10481744?referrer=searchResults
#SPJ4
f(1)= 10 and f(21)= 2 ; find f(14)
Answers
the function value f(14) = 4.8.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function if one were mapped to a single value instead. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
f(1)= 10
f(21)= 2
Let the function f(x) = ax+b
f(1)= 10 = a+b
f(21)= 2 = 21a +b
20a = -8
a=-8/20
b = 208/20
f(14) = 14*(-8/20)+208/20 = 4.8
Hence the function value f(14) = 4.8.
Learn more about function, by the following link.
https://brainly.com/question/25638609
#SPJ1
Which line segment is a radius of Circle S?
Answers
Answer:
SQ
Step-by-step explanation:
radius is half the circumference, which is a line from one side to the other. Half of that is a line to the middle.
*image is attached*
Please help on this!!!!!
I’ll give Brainly
And points
Answers
(x,y) = (2,0) trust me substitution is easy
Un buzo desciende 20 metros y luego asciende 50 metros
En qué punto se encuentra?? Y
Un buzo desciende 25 metros y luego asciende 25 metros
En qué posición se encuentra??
Answers
a) La posición final es 30 metros mas arriba que la posicion inicial.
b) La posicion final y la inicial son la misma.
¿En qué punto se encuentra el buzo?En ambos casos asumimos que la posicion inicial del buzo sera el 0.
Si primero desciende 20 metros, entonces tenemos:
0m - 20m = -20m
Luego asciende 50 metros, entonces sumamos 50m para obtener:
-20m + 50m = 30m
La posicion final es 30 metros mas arriba que la posicion inicial.
B) En este caso primero desciende 25m:
0m - 25m = -25m
Y luego asciende 25m:
-25m + 25m = 0m
La posicion final es la misma que la inicial.
Aprende más sobre posicion:
https://brainly.com/question/25951773
#SPJ1
An angle measures 28° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
The measure of each angle is 104° and 76°.
What are Supplementary Angles?Supplementary refers to angles that come together to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles. If two angles Supplementary one another if,
It has an acute angle on one side and an obtuse angle on the other.
The angles are both right angles.
Given An angle that measures 28° more than the measure of its supplementary angle,
let the angle be x
and supplementary angle of x = 180 - x
according to condition
x = 28 + 180 - x
2x = 208
x = 208/2
x = 104°
and supplementary angle of x = 180 - x
supplementary angle of x = 180 - 104
supplementary angle of x = 76°
Hence the angles are 104° and 76°.
Learn more about Supplementary Angles;
https://brainly.com/question/13045673
#SPJ1
Identify the triangle as scalene isosceles or equilateral A(0,-4) B(0,-9) C(-2,-5)
Answers
Answer:
Step-by-step explanation:
it c
Pleaseeee help me
Choose IS & IS NOT
Answers
Answer: IT IS, substitute x and y in the equation
Also could you mark my answer as brainliest? It helps and doesnt hurt a bit
Two cars leave towns 380 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers
per hour less than the other's. If they meet in 2 hours, what is the rate of the slower car?
Do not do any rounding.
Answers
The slower vehicle travels 178 of the total 380 km at an average speed of 89 km/h.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
Let x and x+12 be the speed of cars.
2(x+x+12)=380
2x+12=190
2x=178
x=89 km/hour
x+12=89+12
=101 km/hour
The rate of the slower car is 89 km/hour and it travels 178 km out of 380 km.
To know more about equation,
https://brainly.com/question/28243079
#SPJ4
Determine the value of each variable for parallelogram INDY That has diagonals that intersect at P. IP equals 3X, DP equals 6X -2, and P equals 3Y, and YP equals 7X -2
Answers
Consequently, each variable's value for the parallelogram INDY that's diagonals intersect at P and have values of x = 2/3 and y = 8/9.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign.
Here,
If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN
Hence IP = PD and NP = YP
IP=3x
DP = 6x - 2
NP = 3y and
YP=7x-2,
Substitute
3x = 6x-2
3x-6x = -2
-3x = -2
x = 2/3
x = 0.67
Also NP = YP
3y = 7x-2
3y = 7(2/3) - 2
3y = 14/3 - 2
3y = 14-6/3
3y = 8/3
9y = 8
y = 8/9
Hence the value of each variable for parallelogram INDY That has diagonals that intersect at P is x = 2/3 and y = 8/9.
To know more about equation,
https://brainly.com/question/28243079
#SPJ4
Danielle pays a monthly charge of $69 for her cable bill. She also pays a fee every time she watches a movie on demand. Last mouth Danielle watched 7 movies on demand, and her total monthly bill was $104
Answers
On demand movies cost her $5 each
Explanation:
104 - 69 = 35
Take 35 and divide it by 7 (movies)
So $5 each
(−5z+17.6)−(−3z+12.2) Simplified
Answers
Answer: -2z + 5.4
Step-by-step explanation:
(−5z+17.6)−(−3z+12.2)
−5z+17.6+3z-12.2
−5z+3z+17.6-12.2
-2z + 5.4
These are the steps to the problem.
If you think the answer is correct, please mark me as the brain because it took time for me to find the solution.
Thank you!
1,000+ 250x
Teresa currently has $1,000 in her bank account. The expression above models the amount of
money in her account in a months if she deposits $250 into the account each month. Based on
the expression, what is the amount, in dollars, Teresa will have in her account 6 months from
now? (Ignore the $ symbol when entering your answer.)
Answers
Answer:
1500+1000=2500
Step-by-step explanation:
1000+250x
x represents the amount of money being deposited every month, therefore you can just plug 6 for x:
1000+250(6)= 2500
A farmer noticed that the ratio of apples produced by Type A and Type B trees is 1:5. If the total number of apples produced during a particular season was 24,000, how many apples did Type A trees produce?
1. 1000
2. 2000
3. 3200
4. 4000
Answers
Type A trees produced 4. 4,000 apples, based on their ratio to the total production of apples during the season.
What is the ratio?The ratio refers to the relative value of one variable or number to another.
Ratios are expressed as fractional values using percentages, decimals, and fractions.
The ratio of apples by Type A and Type B trees = 1:5
The sum of ratios = 6
The total number of apples produced in the season = 24,000
The ratio of Type A apples to the total = 1/6
The number of Type A apples = 6,000 (24,000 x 1/6)
Thus, we can conclude that Type A trees produced 6,000 apples while Type B trees produced 18,000 apples.
Learn more about ratios at https://brainly.com/question/12024093
#SPJ1
Problem 1 What is meant by the term 'Decision Analysis'? - Decision Analysis: The term decision analysis originated in 1964 by ROnald A. Howard, professor of Management Science and Engineering at Stanford University. - The objective of a decision analysis is to choose the most advantageous alternative from various alternative solutions of decision problems. - Decision analysis is systematic, quantitative and visual approach to addressing and evaluating important choices confronted by businesses. - Systematic approach means creating a constructive environment, investigating the situation, generating good solutions or alternatives, choosing the best solution and taking action. - Quantitative approach means to convert the problem into a mathematical model or formula to find the best solution. By using common quantitative tools. Decision tree, payback analysis and simulation. - Visual approach means to convert the problem into graphical charts to find the best solution.
Answers
Decision Analysis is a mathematical method for making decisions in uncertain environment.
What is environment ?
Environment refers to the surrounding conditions, resources and factors that can have an impact on an organism, community, or system. This can include physical factors such as weather, terrain, and pollution, as well as biological factors such as other living organisms, and social or economic factors such as culture, laws and economic conditions.
The process of Decision Analysis can be broken down into several steps:
1) Define the decision problem: Clearly state the problem and the decision maker's objectives.
2) Identify the decision alternatives: List all the feasible options available to the decision maker.
3) Specify the probability distribution of the uncertain parameters: Assign probabilities to the possible outcomes of the uncertain parameters.
4) Evaluate the expected value or expected loss for each alternative: Compute the expected value or expected loss for each alternative, using the probability distribution of the uncertain parameters.
5) Choose the alternative with the highest expected value or the lowest expected loss: Select the alternative that maximizes the expected value or minimizes the expected loss.
6) Sensitivity analysis: Check the robustness of the decision by studying the effect of small changes in the model's assumptions.
Decision Analysis is a mathematical method for making decisions in uncertain environment.
To learn more about environment visit : brainly.com/question/13107711
#SPJ4
Volume of a cone and cylinder
Answers
the volume of a cone will be 201.06 in³.
What is volume of cone?
The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.
So the
V = (1/3)πr²h.
Given, data r = 5yards
h = 8 yards
Volume = 1/3 * π * r ²* h
V = 1/3 * π * 4 ²* 12 =201.06 in³.
Hence, the volume of a cone will be 201.06 in³.
Learn more about volume of cone, by the following link
https://brainly.com/question/1082469
#SPJ1
HELP!
im doing a state test and i forget exactly how to solve these, and i cant get it wrong
Answers
Answer:
46cm
Step-by-step explanation:
Question 4 of 9
Triangle EFG has vertices E(-4, 1), F(-3,-2), and G(2, 1). Find the coordinates of the image of points E
F, and G'after a translation 2 units down.
Answers
The coordinates of the image of point E after a translation 2 units down are (-4, -1).
The coordinates of the image of point F after a translation 2 units down are (-3, -4).
The coordinates of the image of point G after a translation 2 units down are (2, -1).
How to translate coordinates?To translate coordinates in a two-dimensional plane, you need to know the translation vector. A translation vector is a pair of numbers (a, b) that indicates the amount of movement in the x-direction and y-direction.
To translate a point (x, y) by the translation vector (a, b), you can use the following formulas:
x' = x + a
y' = y + b
Where x' and y' are the new coordinates of the point after the translation.
A translation is a transformation that moves a figure a certain distance in a certain direction without rotating or reflecting it. In this case, we are asked to translate the triangle EFG 2 units down. This means that we need to move the triangle down 2 units on the y-axis.
To translate a point (x, y) down 2 units, we can add -2 to the y-coordinate. The new coordinates of the point will be (x, y - 2).
The coordinates of E are (-4, 1), so the coordinates of E' after the translation are (-4, 1-2) = (-4,-1)
The coordinates of F are (-3,-2), so the coordinates of F' after the translation are (-3,-2-2) = (-3,-4)
The coordinates of G are (2, 1), so the coordinates of G' after the translation are (2,1-2) = (2,-1)
So the new coordinates for the triangle EFG' after the translation are:
E'(-4,-1)
F'(-3,-4)
G'(2,-1)
It's important to notice that the x-coordinates didn't change because we are only translating the triangle down, on the y-axis.
To learn more about translate coordinates visit:
brainly.com/question/30095010
#SPJ1
You deposit $2200 in a bank account. Find the balance after 4 years if the account pays 2.25% annual interest compounded monthly.
I need help with a good explanation please, tysm to whoever can help!
Answers
Answer:2200(1+0.0225/12) raised to the power of 12(4)
2200(1.001875) raised to the power of 12(4)
2204.125 raised to the power of 12(4)
2.98771099E160
or 2.98771099 multiplied by 10 to the 160th power
Step-by-step explanation:
What is the relation between the line segment joining the mid points of two sides of a triangle and the third side of the triangle?
Answers
The line segment joining the two midpoints is half the length of the third side, and said line segment is also parallel to the third side.