The ordered pair of the values of f(x) and g(x) of (4, 3) and (4, 3) indicates that the input value that produces the same output value for f(x) and g(x) functions is x = 3
What are the input and output values of a function?The input values of a function are the values that serve as the argument of the function. They are also known as the independent variable. The operations of a function are performed on the input values such that each input produces only one output, which is known as the dependent variable. The set of the input values is known as the domain of the function.
The output value of a function are the values of the function that gives the image of the input values, and they are known as the dependent variable. The set of the output values is the range of the function.
The points on the graph are;
f(x) = (4, 3), and g(x) = (4, 3)Therefore, from the graph, at the point x = 3, f(x) = g(x) = 4
The input value that produces the same output value for the two functions on the graph is the x-value of 3
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2. To paint a house, a painting company charges a flat rate of $500 for supplies, plus
$50 for each hour of labor.
a. How much would the painting company charge to paint a house that needs
hours of labor? A house that needs 50 hours?
Answer:
If a house need 50 hours to paint, it will cost $3000
Step-by-step explanation:
--- According to the problem, $500 is the cost for supplies, which means that for every house, that cost will be there. In other words, this payment never changes no matter the house. So far you pay $500
--- Now, the problem says that you pay $50 for each hour of labor. Since the house need 50 hours, we will multiply 50 (the cost) by 50 (the hours) = 2500.
--- Now we put the payments together. 500 + 2500 = 3000. So it will cost $3000 to paint a house that need 50 hours.
consider the polynomial function p given by p(x)=5x^3+6x^2+4x
evaluate the function at x=-5 and x=15
Answer:
p(-5) = -495p(15) = 18285Step-by-step explanation:
You want the value of p(x)=5x^3+6x^2+4x for x=-5 and x=15.
Horner formWriting a polynomial in Horner form can simplify evaluation.
p(x) = ((5x +6)x +4)x
p(-5)p(-5) = ((5(-5) +6)(-5) +4)(-5) = (-19(-5) +4)(-5) = 99(-5) = -495
p(15)p(15) = ((5(15) +6)(15) +4)(15) = (81(15) +4)(15) = 1219(15) = 18285
3) Justin made some cookies for the holiday. She baked 10 sugar cookies, 18 chocolate chip cookies, and 15 ginger cookies. What is the ratio of sugar cookies to ginger cookies in simplest form?
would appreciate getting the answer
The value of angle 5 is 115°
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
angle 2 is 65°
angle 6 = angle 2 = 65°( corresponding angles)
angle 6 + angle 5 = 180( angles on a straight line)
65 + angle 5 = 180
angle 5 = `180 - 65
angle 5 = 115°
In conclusion, angle 5 is 115°
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javieretta earned $9.50 each hour she works at camp clap happy during summer vacation. she earned $304 one week in june and $247 during a week in july. how many hours did she work that week in june? please help
Javieratta worked for a total of 32 hours in the week of June to earn an amount of 304 dollar.
Javieretta earns $9.50 each hours she works at camp clap happy.
She earned $304 in week of june and $247 during a week in july.
Let us assume that she works X hours.
So, using unitary method, we can write,
X times the amount she earns in one hour = Earning in the week of june.
X(9.50) = 304
X = 304/9.50
X = 32 hours.
So, she worked for a total of 32 hours in the camp clap happy summer vacation.
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A Pre-K teacher has a total of 4/5 ounces of paint. Th teacher puts 1/30 ounces of paint at each table. If the teacher sets up an equal number of tables in the 2 Pre-K classrooms, how many tables does he set up in each classroom?
Answer:
12 tables per classroom.
Step-by-step explanation:
We will assume that the teacher uses all of the 4/5 oz of paint. We can find how many samples of 1/30 oz are contained in the 4/5 oz by dividing:
(4/5)÷(1/30) = (4/5)*(30/1)
(4/5)*(30/1) = (120/5)
(120/5) = 24 samples of 1/30 oz paint in (4/5) oz total paint.
Each of the 2 Pre-K classrooms have the same number of tables, so we can divide 24 samples by 2 to find the number of tables in each classroom,
*24 samples/2 classrooms) = 12 tables/classroom
Given g(x)=-x-4g(x)=−x−4, solve for xx when g(x)=10g(x)=10.
The solution for x in the function when the function g(x) = 10 is 4
How to determine the solution for x in the function?From the question, we have the following equation that can be used in our computation:
g(x)=x-4
To make the equation legible, we need to rewrite it
So, we have the following representation
g(x) = x - 4
Also from the question, we have
g(x) = 10
This means that we calculate x when g(x) = 10
Substitute the known values in the above equation, so, we have the following representation
10 = x - 4
So, we have the following equation
x - 4 = 10
Add 4 to both sides of the equation
So, we have the following representation
x - 4 + 4 = 10 + 4
Evaluate the equation
x = 14
Hence, the solution is 14
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please answer this question (answer is needed as a fraction)
Answer:
4/6 means 2/3 it is most likely 0, 67 or 0, 66.
Step-by-step explanation:
What fraction is equivalent to 21/42?
Answer: 1/2
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation
We can convert 21/42 by dividing both the numerator and denominator by 21 to get
1/2
Hopes this helps please mark brainliest
iq test scores are normally distributed with a mean of 100 and a standard deviation of 15. an individual's iq score is found to be 90. find the z-score corresponding to this value.
The Z score of the individual with IQ 90 is -0.67.
It is given that the scores are Normally distributed.
The mean given is 100 while the standard deviation is 15.
Let the IQ distribution be X.
Hence X follows a Normal distribution X~N(100, 225)
where
100 = mean
225 = standard deviation
To find the Z score we need to convert the following into the standard normal distribution.
To do that we need to follow
Z = ((x - μ) / σ)
here
μ = mean of the distribution = 100
σ = standard deviation of the distribution = 15
x = 90
Hence the Z score is
Z = (90 - 100) / 15
= -10/15
= -0.67
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Jada is working on solving a quadratic equation, as shown here.
p^2−5p=0
p(p−5)=0
p−5=0
p=5
She thinks that her solution is correct because substituting 5 for p in the original expression p^2−5p gives 5^2−5(5), which is 25−25 or 0.
Explain the mistake that Jada made.
Writing only p = 5 is a mistake since p = 0 is also a solution of the quadratic equation
How to find the mistake she made in solving the quadratic equation?
Given the quadratic equation: p² −5p = 0
p² −5p = 0
p(p−5) = 0
p = 0 or p−5=0
p = 0 or p = 5
Jada made mistake in the 3rd step instead of him to break the equation into two parts and then equate them to zero i.e he neglected the part where p = 0 and only make use of p-5 = 0
Since the equation has two solutions, p = 0 and p = -5. Therefore, writing only p = 5 is a mistake because when p = 0 is substituted into p² −5p = 0, it also gives 0
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A classroom has twenty-five students that are all 14-years old. If you list their ages and their heights as ordered pairs (age, height), which statement is true?
It is not a relation, but it is a function.
It is a relation but not a function.
It is neither a relation nor a function.
It is both a relation and a function.
When one lists their ages and their heights as ordered pairs (age, height), the statement that is true is D. It is both a relation and a function.
In mathematics, what is a relation?A relation between two sets is a collection of ordered pairs that each contain one object from the other set. If the ordered pair (x,y) is in the relation and the object x is from the first set and the object y is from the second set, the objects are said to be related. A relation is a type of function.
A function is a relation that states that there should be only one output for each input (or) we can say that a function is a special type of relation (a set of ordered pairs) that follows a rule, i.e., every X-value should be associated with only one y-value.
It should be noted that based on the information, only one value can be attributed to each person. Therefore, the correct option is D.
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Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles apart are the cyclists in 45 minutes?
PLEASE HELPPPPPP!!!!!!!!!!!
The distance between two cyclists after 45 minutes as described in the task content is; 7 + 0.75 (12) + 0.75 (b + 12) miles.
Speed, distance and time.It follows from the task content that the distance between the two cyclists after 45 minutes is to be determined from the given parameters.
Given; the speed of the first cyclist is; 12 miles per hour, while the speed of the second cyclist is b miles per hour greater than that of the first.
The speed of the second cyclist is therefore; (b + 12).
On this note, since the distance covered by each cyclist is given by;
Distance = Speed × Time where, Time = 45 minutes = 0.75 hours.
Therefore, the total distance between the two cyclists can be determined from the expression as follows;
7 + 0.75 (12) + 0.75 (b + 12).
Therefore, the distance between the two cyclists as required in the task content is; 7 + 0.75 (12) + 0.75 (b + 12) miles.
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Solve for the value of v.
50⁰
(V-7)
The value of v as required to be solved for in the task content is; 47.
What is the value of according to the right triangle?It follows from the complete task content that a right triangle in which case the angle measures are; 50°, (v - 7)° and 90° is to be solved for variable v.
Recall from triangle geometry that the algebraic sum of angles in a triangle is; 180°.
Therefore, we have;
50° + (v - 7)° + 90° = 180°
v - 7 + 140 = 180
v = 180 - 140 + 7
v = 47.
On this note, the value of variable, v as required to be determined is; 47.
Completed question; The complete question is such that a right triangle with two other angles 50° and (v - 7)° is given.
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A Pringles chip can has a diameter of 8 cm and a height of 30 cm. Determine the volume of the cylindrical can.
The area of a circle is shown below.
A = πr²
The volume of the cylindrical Pringles chip can is 1508 cm³
Calculating the volume of a cylinderFrom the question, we are to determine the volume of cylindrical can
The volume of a cylinder is given by the formula
V = πr²h
Where V is the volume of the cylinder
r is the radius
and h is the height
From the given information,
Diameter = 8 cm
But,
Radius = Diameter / 2
Therefore,
r = 8 / 2 = 4cm
h = 30 cm
Thus,
Volume of the cylindrical can = π× 4² × 30
Volume of the cylindrical can = π× 16 × 30
Volume of the cylindrical can = 480π cm³
Volume of the cylindrical can = 1507.96447 cm³
Volume of the cylindrical can ≈ 1508 cm³
Hence,
The volume is 1508 cm³
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A line has a slope of -7 and includes the points (-2, -10) and (-3, h). What is the value of h?
Answer:
-3
Step-by-step explanation:
You can use to find the slope of a line going through and .
I like to line up the points and subtract vertically. Then put 2nd difference over 1st difference.
(6,h)
minus
(7,-10)
------------
-1 h-(-10)
This also said to be equal to -7:
Multiply -1 on both sides:
Subtract 10 on both sides:
[texh=-3[/tex]
So if h=-3 then the slope of the line going through (6,h) and (7,-10) is -7.
Let's test it:
(6,-3)
minus
(7,-10)
----------
-1 7
So the slope is 7/-1=-7. This is the intended goal.
The check is good.
Graph the inequality on the axes below −2x+y≥−6
A graph of the inequality (-2x + y ≥ -6) is shown in the image attached below.
What is a graph?A graph simply refers a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would rearrange and simplify the given equation in slope-intercept form as follows:
-2x + y ≥ -6
Adding 2x to both sides of the inequality, we have the following equation:
-2x + y + 2x ≥ -6 + 2x
y ≥ -6 + 2x
Rearranging the equation in slope-intercept form, we have the following equation:
y ≥ 2x - 6
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Select the graph that can be used to find the solution(s) of the system of equations:
y = |x| – 3
y = –x2 + 9
Answer:
(3,0) (-3,0)
Step-by-step explanation:
ask:))
AB (3x + 2) cm AC 11 cm BC (2y + 3) In the diagram, ABC is an equilateral triangle. Find the value of (x+y)
For the given triangle ΔABC the value of (x + y) would be 7 cm.
What is an equilateral triangle?
An equilateral triangle is a triangle with the same length on all three sides. An equilateral triangle is also equiangular in Euclidean geometry; that is, all three internal angles are congruent to each other and are each 60°.
Given data:
Length of AB = (3x + 2) cm.
Length of AC = 11 cm.
Length of BC = (2y + 3) cm.
The property of an equilateral triangle says that all sides of an equilateral triangle are equal.
then we can write,
AB = AC
3x + 2 = 11
3x = 11 - 2
3x = 9
x = 9/3
x = 3 cm
Also, BC = AC
2y + 3 = 11
2y = 11 - 3
2y = 8
y = 8/2
y = 4 cm
So the value of (x + y) = 3 +4
= 7 cm.
Hence, For the given triangle ΔABC the value of (x + y) would be 7 cm.
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-6 > v + 3/5 solve for the inequality for v and simplify your answer as much as possible
Answer: -33/5
Step-by-step explanation:
precipitation data was compiled and discretized into three states. 1. dry, 2. light rain, and 3. wet. given these states the tratisition matrix chain model of davis rainfall was computed as. what is the probability a dry day is followed by a light rain day
The probability a dry day is followed by a light rain day is 0.07.
Define probability.Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
Given.
Here, the markov chain's three possible states are listed as dry, light rain, and wet.
From the second number in the first row, the chance of a dry day followed by a light rain is calculated as follows: P(dry⇒ light) = 0.01.
Therefore, the necessary probability in this case is 0.01.
We currently have (wet⇒ light) - 0.07
Therefore, the necessary probability in this case is 0.07.
The probability a dry day is followed by a light rain day is 0.07.
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Two integers, a and b, have a product of 20. What is the least possible sum? pls help lol
The least possible sum wen the integers, a and b, have a product of 20 is 9.
How to calculate the sum?From the information given, two integers, a and b, have a product of 20. It should be noted that the values that an give a product of 20 will be:
1 × 20 = 20
2 × 10 = 20
4 × 5 = 20
Therefore, the sum of the factors will be:
1 + 20 = 21
2 + 10 = 12
4 + 5 = 9
The least possible sum is 9.
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Betsie is going to buy 250 envelopes.
Here is some information about the cost of envelopes in two shops.
Letters2go
Pack of 25 envelopes for £3.19
Value World
Pack of 10 envelopes for £1.99
Buy 2 packs get 1 pack free
Betsie wants to buy the envelopes for the best possible price.
Which shop should Betsie buy the 250 envelopes from?
You must show how you get your answer.
Using mathematical operations, Betsie should buy the 250 envelopes from Letters2go Shop at a total cost of £319.
How is the total cost determined?To determine the total cost, we first determine the unit cost of an envelope at each shop.
The unit cost is multiplied by the number of envelopes required less the cost of free envelopes at Value World.
The mathematical operations used include division and multiplication.
Deals:
Letters2go
Pack of 25 envelopes for £3.19
Value World
Pack of 10 envelopes for £1.99
Buy 2 packs get 1 pack free
Letters2go Value World
Cost per pack £3.19 £1.99
Cost per envelope £0.1276 £0.199
The number of envelopes 250 250
The number of packs 10 (250/25) 25 (250/10)
Cost of free envelopes £24.875 (25/2 x £1.99)
Total cost of envelopes £319 (£3.19 x 10) £472.63 (£1.99 x 250 - $24.875)
Thus, using mathematical operations, the total cost of 250 envelopes at Letter2go is less than the total cost at Value World.
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A bakery sold a total of 3028 coffee and blue berry buns.1560 more coffee buns were sold than blue berry buns.how many coffee buns did the bakery sell
Answer:
the bakery sold 1468 blueberry buns sooooo yeah
Step-by-step explanation:
Zach took a science test. He answered 42 questions correctly and 8 questions incorrectly.
What percentage of the questions did Zach answer correctly?
Answer:
84%
Step-by-step explanation:
correct answers = 42
incorrect answers =8
total mark=50
% of the correct =
[tex] \frac{42}{50} \times 100 = 84[/tex]answer is 84%
PLEASE HELP I NEED IT TODAY
QUESTION IS ON THE IMAGE DOWN BELOW
PLEASE ANSWER QUESTION AS A double number line
Answer:
I agree with her the reason? because she is right
67.50/6= 11.25 meaning it's $11.25 per ticket
47/4= 11.75 meaning it's $11.75 per ticket
Step-by-step explanation: Jamar spent 11.25 per ticket
Aaron spent 11.75 per ticket meaning she spent more than Jamar
Can anyone write the equation of the graph?
The function represented by the graph has an equation of f(x) = |x - 3| + 5
How to find the equation of the graph line?From the question, we have the following graph that can be used in our computation:
The graph is an absolute value graph
As a general rule, an absolute value is expressed as
y = |x - h| + k
In this case, the vertex is
Vertex = (h, k)
As a general rule, the vertex of a function is the minimum point on the graph
On the given graph, the minimum point is (3, 5)
This means that
(h, k) = (3, 5)
Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k
So, we have the following representation
y = |x - 3| + 5
Rewrite the equation as a function
f(x) = |x - 3| + 5
Hence, the equation of the graph represented by the figure is f(x) = |x - 3| + 5
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Rachel bought three and fifty-two hundred pounds of apples at the store. How is this written in number form?
3.0052
3.052
3.502
3.52
Answer: 3.52
Step-by-step explanation: fifty-two hundredths as a number would be 0.52, so 3.00 + 0.52 would be 3.52
Rewrite the equation in Ax+By = C form. Use integers for A, B, and C. y+3=-4(x-6)
Answer:
4x + y = 21
Step-by-step explanation:
1. distribute in the parenthesis first, so the right side of the equation is not -4x+24
Right now the total equation looks like y+3 = -4x+24
2. Now we add the 4x to both sides to cancel it out on the left side, so we're left with:
4x+y+3=24
3. After that we can subtract the 3 from both sides to leave us with:
4x+y=21
the owner of a convenience store has determined that their daily revenue has mean $7200 and standard deviation $1200. the daily revenue totals for the next 30 days will be monitored. expressing the probability to four decimal places and for two points, what is the probability that the mean daily revenue for the next 30 days will exceed $7000?
The probability that the mean daily revenue for the next 30 days will exceed $7000 is 47.60%.
Define the term z score?The Z-score indicates the discrepancy between a given value and the standard deviation. The Z-score, also referred to as the median score, indicates how often standard deviations an actual data point deviates from the mean.The formula for the z score is-
z = (x - μ)/σ
In which,
z = standard scorex = observed value (= $7000)μ = mean ( = $7200)σ = standard deviation (=$1200)Put the value in formula
z = (7000 - 7200)/1200
z = - 0.16
Thus,
P(x > $7000) = P(z > - 0.16)
See the p- value for obtained z from negative z score table.
P(x > $7000) = 0.4760
Thus, the probability that the mean daily revenue for the next 30 days will exceed $7000 is 47.60%.
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