if f(x) = 2x + 3 and g(x) = 5 - f(x) then g(3) value is 2.
What is a function?A relation is a function if it has only One y-value for each x-value.
Given that function f(x) = 2x + 3 and
g(x) = 5 - f(x),
We need to find the g(3).
g(x)=5-2x+3
g(x)=8-2x
Now to find g(3) we have to replace x by 3
g(3)=8-2(3)
=8-6
=2
Hence, if f(x) = 2x + 3 and g(x) = 5 - f(x) then g(3) value is 2.
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In triangle IJK , O is the intersection of the three medians . If IN = 12 find IK. please help
Since it is stated that O is the centroid (also known as the point of intersection of the three medians), the segment JN, which traverses a triangle's vertex, would have to be a median to segment IK. IK = 24
What is meant by median?When a data set's median value is used, 50% of the data points in the collection have values that are lower or equal to the median and 50% of them have values that are higher or equal to the median. When working with a small data collection, you must first count the number of data points (n) and organize them in ascending order. Sorting all of the data points and selecting the center one yields the median, or middle number (or if there are two middle numbers, taking the mean of those two numbers).Example: The number 4 is the median of the numbers 4, 1, and 7 since it is in the middle when the numbers are ordered (1, 4, 7).As a segment is divided into two congruent pieces by medians, IN = NK = 12 since IN = 12.
IK is the sum of the measure of IN and NK, so in other words:
IK = IN + NK = 12 + 12 = 24
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In triangle IJK, O is the intersection of the three medians. If IN = 12 then the value of IK is 24.
What is a median?A triangle's median is a line segment that connects a vertex to the middle of the side directly across from it.
Given that, O is the intersection of the three medians. Then, the segment JN which passes through a vertex of the triangle, would have to be a median to segment IK.
A median divides the segment into two equal parts. Thus, median JN divides the segment IK into two equal parts.
Thus, IN = NK
The value of IN = 12, hence NK = 12.
The value of IK is:
IK = IN + NK = 12 + 12 = 24
Hence, in triangle IJK , O is the intersection of the three medians . If IN = 12 then the value of IK is 24.
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If z = -9, what is 12z + 52 ?
Answer:
-56
Step-by-step explanation:
Substitute:
12*(-9)+52 =
-108+52 =
-56
Answer: -56
Step-by-step explanation:
if z is an exponent then the whole answer would be different but im guessing it is not ? I hope this helps.
An odometer shows that a car has traveled 41,00$ miles by January 1, 2020. The car travels 19,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
The required equation for number of miles and years for the car is given as; y = 19000x + 41000
How to represent a linear equation?To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.
The parameters are;
Suppose the year 2020 represents x = 0.
The distance travelled per year can be taken as the slope of the linear equation. Thus, slope = 19000.
And, the distance travelled by January 1, 2020 is 41000.
This tells us that for x = 0, y = 41000.
The linear equation in slope intercept form is given as;
y = mx + c
where;
m is slope
c is y-intercept
Substitute the corresponding values in the above equation to obtain,
y = 19000x + c
At x = 0, y = 41000
41000 = (19000 × 0) + c
c = 41000
Now, the equation can be written as,
y = 19000x + 41000
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Type the correct answer in each box.
O
O
-7 6 5 4 3 -2 -1
9
5
2
32
+
2
3
4
9
9
2
O
w.
4
The reflection of point S across the y-axis is point
coordinates are (
567
The reflection of point Q across the x-axis and the y-axis is point
whose.
Answer:
The reflection of point S across the y-axis is point V
Point Q reflected across the x-axis - S (5, -5.5)
Point Q reflected across the y-axis - T (-5, 5.5)
4. How many NIMS Management Characteristics are there?
O A. 12
О в. 13
O C. 14
O D. 15
NIMS incident command and coordination is based on fourteen NIMS Management Characteristics.
What is meant by NIMS Management?On fourteen NIMS Management Characteristics, NIMS bases incident command and coordination. The National Incident Management System's fourteen traits serve as pillars, enhancing its durability and effectiveness.
The ICS organizational design is adaptable. To improve internal organizational administration and coordination with the outside world, distinct functional elements can be formed and split as needed.
In all, NIMS integration is supported by 14 implementation objectives. NIMS is adaptable and suitable for all kinds of schools, school systems, and educational organizations, just as it applies to all kinds of emergency occurrences.
The following 14 NIMS management traits, each of which adds to the overall system's strength and effectiveness, form the foundation of the Incident Command System (ICS): Typical Language.
Therefore, the correct answer is option C. 14.
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X+3x-4=10-3 Solve the following equation. Be sure to show all steps. x + 3x - 4 = 10 - 3x
x = 2 is the solution of the given equation: x + 3x - 4 = 10 - 3x
What is an equation?The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.
Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.
x + 3x - 4 = 10 - 3x
or, 4x - 4 = 10 - 3x
or, 4x + 3x = 10 + 4
or, 7x = 14
or, x = 14/7
or, x = 2
Thus, x = 2 is the solution of the given equation: x + 3x - 4 = 10 - 3x
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What inverse operation should be used to solve the equation 42 + k = -3 for k
A) multiplication
B) subtraction
C) division
D) addition
By subtracting 42 in both sides of the equation, we will get:
k = -45
Thus the correct option is B.
What inverse operation should be used to solve the equation for k?We want to solve the following equation:
42 + k = -3
To solve this equation, we need to isolate the variable k in that equation.
To do so, we can just subtract 42 in both sides of the equation, then we will get:
42 + k - 42 = -3 - 42
(42 - 42) + k = -3 - 42
k = -45
That is the equation solved, we can see that the correct option is B.
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Answer:
B
Step-by-step explanation:
2
Tabatha is selling handkerchiefs with her school colors to raise money for college. She purchased 100 handkerchiefs and expects to
sell 7 handkerchiefs each week.
Which of the following graphs accurately represents the number of handkerchiefs she has, y, with respect to weeks elapsed, x?
O A.
O B.
ts reserved.
Handkerchiefs
S
> 4
100
80
60
40
20
100
80
2
4 6 8 10
Weeks
X
The histogram's graph of her number of handkerchiefs, y, in relation to the length of weeks since she last used one, x, is accurate.
Which is better, a histogram or a bar graph?As opposed to bar charts, which show categorical variables, histograms visualize quantitative or numerical data. Typically, a histogram's numerical data will be continuous (having infinite values). It would be absurd to attempt to show every potential value of a continuous variable along an axis.The frequency distribution of a few data points for one variable is represented graphically by a histogram. Heterogeneous "bins" or "range groups" are frequently used in histograms in order to categorize data and count the number of data points that are part of each bin.The histogram's graph of her number of handkerchiefs, y, in relation to the length of weeks since she last used one, x, is accurate.To learn more about graph refer to:
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The sum of 5 and a negative integer is greater than -4 and less than 0. How many possible negative integers satisfy
the information?
Answer: 5
Step-by-step explanation:
-4 < 5+x < 0
The smallest x can be is -8
The largest x can be is -4
There are 5 whole numbers from -8 to -4
A nightstand is feet wide, and a double-sized bed is feet wide. An interior designer determines that a room is as wide as the nightstand and the bed arranged side by side. How wide, in feet, is the room?
The width of the room for the given condition is [tex]7\frac{3}{4}[/tex] feet.
What are Mathematical operators?In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:
An operator is a symbol used to represent a mathematical operation. Examples include multiplication, division, addition, and subtraction.
Given the width of the nightstand [tex]3\frac{1}{4}[/tex] feet = 13/4 feet
and width of double-sized bed = 9/2 feet
width of room = the nightstand and the bed arranged side by side
width of room = sum of width of nightstand and bed
width of room = 13/4 + 9/2
width of room = (13 + 9(2))/4
width of room = 31/4
width of room = [tex]7\frac{3}{4}[/tex] feet
Hence width of the room is [tex]7\frac{3}{4}[/tex] feet.
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The complete question is in image.
I need help with this question
Last year total amount generated=600×$6.
What is revenue?Revenue is money brought into a company by its business activities. There are different ways to calculate revenue, depending on the accounting method employed. Accrual accounting will include sales made on credit as revenue for goods or services delivered to the customer. Under certain rules, revenue is recognized even if payment has not yet been received.It is necessary to check the cash flow statement to assess how efficiently a company collects money owed. Cash accounting, on the other hand, will only count sales as revenue when payment is received. Cash paid to a company is known as a "receipt." It is possible to have receipts without revenue. For example, if the customer paid in advance for a service not yet rendered or undelivered goods, this activity leads to a receipt but not revenue.
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solve please hurry answer
Answer:
10 dollars for adult tickets and 6 dollars for student tickets
Step-by-step explanation:
a=adult tickets
s=student tickets
4a+2s=52 3a+5s=60
5(4a+2s=52) 2(3a+5s=60)
20a+10s=260 6a+10s=120
-6a+10s=120
14a=140
a=10
10 dollars per adult ticket
4(10)+2s=52
40+2s=52
2s=12
s=6
6 dollars per student ticket
What is the ninth term of the geometric sequence? 8, –16, 32, –64 (Algebra 2)
The ninth term of the geometric sequence is 2048.
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.This ratio is known as a common ratio.Geometric sequence is defined as : a, ar, ar², ar³, .... , aⁿ.The nth term of a geometric sequence with initial value {a = a₁} and common ratio {r} is given by : a{n} = ar ⁿ ⁻ ¹.Given is the geometric sequence as -
8, -16, 32, -64, .....
We can write the 9th term as -
a{9} = ar ⁹ ⁻ ¹
a{9} = ar⁸
a{9} = 8 (-2)⁸
a{9} = 8 x 16 x 16
a{9} = 2048
Therefore, the ninth term of the geometric sequence is 2048.
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eviewing Domain, Range, and Function Rules
f(x) has domain
, and range
.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4. Column 2 is labeled f (x) with entries negative 2, negative 1, 0, 1, 2.
Answer:
the domain is 4
the range is 6
Step-by-step explanation:
Solve each equation. Check your solution. . 2d - 10 = 20
Answer: d = 18
Step-by-step explanation:
Answer:
d=15
Step-by-step explanation:
Solve each equation.
Check your solution.
2d - 10 = 20
Add 10 to each side
2d-10+10 = 20+10
2d = 30
Divide each side by 2
2d/2 = 30/2
d = 15
Check the solution
2 ( 15) -10=20
30 - 10=20
20=20
Check
Orlando paid $55.60 for a number of tickets to a hockey game if each ticket was $6.95 how many tickets did Orlando by what is the unknown number
Answer:
First you need to divide 55.60/6.95 that is equal to
8 tickets
HELPPPPP
Question: The table and the graph each show equivalent ratios.Use the drop-down menus to explain how the ratio shown in the table compares to the ratio shown on the graph.
x
8
10
12
y
12
15
18
Therefore, the answer to the given ratio problem comes out to be 300,000.
Defining a ratioIn mathematics, the term "portion" or "fraction" refers to the proportion of one number that is present in another. In a fruit platter with eight oranges and six lemons, for instance, the ratio of citrus to lemon is eight over six, meaning 8:6, which would be equivalent to the ratios of 4:3 or the decimals 1.333.
Here,
We must use our grasp of proportionality to establish the maximum amount of shares that can be owned in this exercise.
The 20 huge variations will allow Blackbird Oil to store a total of 300,000 gallons.
The details in the assertion can be summed up as follows:
20 brand-new, sizable oil storage tanks.
The ratio is 4:5 for 12,000 gallons.
Because of the proportional ratio of 4.05, the enormous receptacles are 1.25 times larger than the ordinary ones, giving us:
=> 1200 * 1.25 = 15000
=> 15000 * 20 = 300000
As a result, the supplied problem's answer equals 300,000.
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Given that f(x) = -5x, g(x) = x + 3 and
h(x) = -2f (x + 2) - 2g(x - 1), then what is the value of h(1)?
The value of the composite function h(1) is 24
What is the value of h(1)?From the question, we have the following parameters that can be used in our computation:
f(x) = -5x, g(x) = x + 3 and
h(x) = -2f (x + 2) - 2g(x - 1)
The above are individual functions
This means that
h(x) = -2(-5(x + 2)) - 2(x + 3 - 1)
For h(1), we have
h(x) = -2(-5(1 + 2)) - 2(1 + 3 - 1)
Evaluate
h(x) = 24
Hence, the value of the composite function is 24
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Suppose the graph of y=f(x) is translated left 2 units, then reflected across the -axis. The new graph will have the equation of y=
The new graph after the given transformations would have an equation; y = -f (x + 2).
What would be the equation of the new graph after the given transformations?It follows from the task content that the pre-image graph; y = f (x) is to be translated 2 units to the left and afterwards reflected across the X axis.
First, when a function, f (x) is translated k units to the left, the resulting function is; f (x + k).
Hence, when the graph is translated w units to the left, the resulting function is; y = f (x + 2).
Additionally, when a function, f (x) is reflected across the x-axis, the resulting function is; -f (x).
Ultimately, the resulting graph upon reflection over the x-axis is; y = -f (x + 2).
Complete question: The graph is reflected over the x-axis.
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Valerie worked 25 hours last week. Her job pays $12 an hour. How much did she earn last week?
25 hours, 12 dollars an hour.
How can we set this up?
25 hours, 12 dollars per hour. So 12 dollars per each hour, adding up to 25 hours in total.
12 (1 hour), 12 (1 hour), 12 (1 hour)..
Or you could do 12 x 25 to find it, just to make things a little more simple. 25 x 12 = 50
250
= $300
Which number does not belong with the other three? Please explain
The number that does not belong with the other three is D. 10 x 9.2 ⁻¹³
Why is the number different from the others ?With the first three numbers, the base of the exponential that is being multiplied by the first number is 10. These numbers are:
2 . 8 x 10 ¹⁵4. 3 x 10 ⁻³⁰1. 05 x 10 ²⁸With the last number however, we see that the base of the exponential is 9. 2 and not 10 like the others. This is why 10 x 9 . 2 ⁻¹³ does not belong with the rest.
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1. y = 2.5x8
Input, x
-5
05
10
Output, y
For all the given linear equation, values of x, Output, y = -125, 125, 200.
The linear equation is what?An equation with the form y = mx + b, where m is the slope and b is the y-intercept, serves as the basis for the theory in this question. Y = 2.5x, a linear equation with a slope of 2.5 and a y-intercept of 0, is the equation in this query.
The step by step explanations are as follows:
1. Identify the equation given as y = 2.5x
2. Substitute the given x values into the equation:
- For x = -5, y = 2.5(-5) = -125
- For x = 05, y = 2.5(05) = 125
- For x = 10, y = 2.5(10) = 200
3. The final answer is:
- For x = -5, y = -125
- For x = 05, y = 125
- For x = 10, y = 200
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How did Gatsby “lose” Daisy the first time? in great gatsby
Answer:
Essentially, in The Great Gatsby, Gatsby loses Daisy because he is trying to recapture something that never existed in the first place.
Write rations for sin M, cos M and tan M( pic included)
The rations for sin M, cos M and tan M is [tex]\sqrt{11}[/tex]/6, 5/6, [tex]\sqrt{11}[/tex]/5
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
Given;
Height=[tex]2\sqrt{11}[/tex]
Base= 10
Hypotenuse= 12
Now,
sin M= 2[tex]\sqrt{11}[/tex]/12
=[tex]\sqrt{11}[/tex]/6
cos M= 10/12
=5/6
tan M= 2[tex]\sqrt{11}[/tex]/10
=[tex]\sqrt{11}[/tex]/5
Therefore the trigonometric rations will be [tex]\sqrt{11}[/tex]/6, 5/6, [tex]\sqrt{11}[/tex]/5
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Jason received a scholarship of 9000. He spent three-fourth of this amount on tuition and one-fourth of the remaining amount on books. What amount of the scholarship was he left with?
Reneta and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50 a case.
The equation is given here.
x ≥ 18.75 (how many cases they go through in 30 days)
If Reneta’s family only buys full cases, how much do they spend on sparkling water in 30 days?
The family buys around 19 cases of sparkling water in 30 days
What is inequality ?lnequality is relationship between two expressions or values that are not equal to each other.
Let the total number of sparkling cans of water used in a day be =x
As mentioned, the family uses more than 15 cans each day so inequality becomes , ×> 15
As they buy cases of water with 24 cans in each case. So less than 1 case is used in a day.
Number of cans used in a day is more than 15, so approx number of cans used in 30 days will be = 30 x 50 =450
As each case contains 24 cans, so the number of cases that will contain 450 cans will be, 450÷24 =18.75 cases. Rounding this off to nearest whole number, we get 19 cases.
Hence, the family buys around 19 cases of sparkling water in 30 days
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solve for x: 3x-3= -12
Answer:Isolate the variable by getting all terms and coefficients to the other side of the equal sign. (3x −3) = 12. Given equation. Add 3 to both sides to get −3 from the left side to the right side. 3x = 15. Divide both sides by 3 to get x by itself, which would give us an exact answer. x = 5.
Step-by-step explanation:
Choose the slope and y intercept that correspond with the graph
What is the shape of the cross section
Answer:polygon
Step-by-step explanatiopolygon
Mae Ling earns a weekly salary of $300 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,600 worth of merchandise?
Answer:
$645
Step-by-step explanation:
300 + 4600(.075)
= 300 + 345
= 645