Given the definitions of f(x) and g(x) below, find the value of g( f(1) ).

f(x)= 3x^2-7x+6
g(x)= 4x-5

Answers

Answer 1

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[tex]f(x) = 3 {x}^{2} - 7 x+ 6[/tex]

[tex]f(1) = 3 ({1})^{2} - 7(1) + 6[/tex]

[tex]f(1) = 3 - 7 + 6[/tex]

[tex]f(1) = 9 - 7[/tex]

[tex]f(1) = 2[/tex]

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[tex]g(x) = 4x - 5[/tex]

[tex]g(f(1)) = g(2) = 4(2) - 5[/tex]

[tex]g(2) = 8 - 5[/tex]

[tex]g(2) = 3[/tex]

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Related Questions

Question 10 of 10
Solve 3 ax + 4ax = 5ax + 4 for x. Assume at 0.
A. X = 2
a
B. x= 2a
C. x =
За
D. X = 3a

Answers

[tex]x = \frac{2}{a} [/tex]

Step-by-step explanation:

3 ax + 4ax = 5ax + 4, combine like terms

7ax = 5ax + 4, minus 5ax from both sides

2ax = 4, divide 2a on both sides

you'll be left with x = 2/a

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Answer
A- (5,5), (5,1),( 2,1),(1,5)

what is Evaluate 4/5-3/7​

Answers

Answer:

[tex] \frac{13}{35} [/tex]

Step-by-step explanation:

To add or subtract two or more fractions from each other, the denominators have to be the same. To make the denominators the same, we should find the least common multiple of 5 and 7. The least common multiple of 5 and 7 is 35. 5 should be multiplied with 7 to get 35 and 7 should be multiplied with 5 to get 35 (with both numerators).

[tex] \frac{4}{5 } - \frac{3}{7} [/tex]

[tex] \frac{4 \times 7}{5 \times 7} - \frac{3 \times 5}{7 \times 5} [/tex]

[tex] \frac{28}{35} - \frac{15}{35} [/tex]

[tex] \frac{13 }{35} [/tex]

When subtracting, only subtract the numerators (the denominators are kept as is).

Answer:

the answer is 13/35

Step-by-step explanation:

NO ONE IS HELPING ME PLEASE IM FINNA CRY
The first term in an arithmetic sequence is 5. The third term in the sequence is -1. The tenth term in the sequence is -22.
Which of the following functions can be used to find the nth term of the arithmetic sequence?

A.
f(n) = -n

B.
f(n) = n + 4

C.
f(n) = -3n + 8

D.
f(n) = 0.5(n+5) + 2

Answers

The answer will be d luv❤️

Which graph represents the function f(x) = –|x + 3|?

Answers

Answer:

Step-by-step explanation:

f(x) = –|x + 3| is a case of the absolute value function

f(x) = -|x - {a}| + c, where (a, c) is the vertex.  Comparing them, we see that

the value of a must be -3 and that of c must be 0.

Thus, the vertex of the graph is at (-3, 0), and the graph opens up; it looks like a "v" shape.

Next time, kindly share the given graphs.

Answer:

third graph

Step-by-step explanation:

-3,-8,-13,-18 write an equation for the nth term then solve

Answers

Answer:

nth term = -3-5(n-1)

Step-by-step explanation:

If Yafet raises $18 and Darnell raises $24, what fraction of Darnell’s goal did Yafet raise?

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

What does this mean?

Answers

Answer:

Its the symbol "pi" which is 3.14

Answer:

it means pi.

Step-by-step explanation:

pi = 3.14..........

pi goes on forever, it never ends.

a correction of "six less than twice the value of x" is

Answers

Answer:

2x-6

I don't know what you mean by correction, but that's in expression form.

Answer:

2x-6

Hope this helps!!

A line contains the points (-26, -37) and (-32, -61). What is the slope of the line in simplified form? -3 −14 14 3

Answers

M=4
Pls mark me brainliest

The distance between Mars and Venus is 3.7 X 10^14 miles. A rocket ship only has enough fuel to travel half that distance. How far can the rocket ship travel?

PLEASE HELP ME
FIRST TO ANSWER WILL GET BRAINLIEST

Answers

Answer:

1.85 X 10^14

Step-by-step explanation:

Which list shows the absolute values in order form least to greatest?

Answers

I believe the answer is D

MATH HELP ME ASAP PLEASE

Answers

Answer:

53lbs.

Step-by-step explanation:

If Kevin bought 3 20lbs. Bags of gravel he would have 60 lbs. of gravel. In the end he has 7 lbs. of gravel left he used 53 pounds.

Equations:

7+x=60 or 60-7=53 lbs.

Answer:

3 pounds of gravel

Step-by-step explanation:

If you look at the chart, each bag of gravel is 20 lbs. If he bought 4 then that is 20 x 4. That equals 80. If he only used 77 pounds of it, then you get 80-77. That equals 3

An employee at an organic food store is assembling gift baskets for a display. Using wicker baskets, the employee assembled 2 small baskets and 4 large baskets, using a total of 60 pieces of fruit. Using wire baskets, the employee assembled 2 small baskets and 10 large baskets, using a total of 132 pieces of fruit. Assuming that each small basket includes the same amount of fruit, as does every large basket, how many pieces are in each?
The small baskets each include______pieces and the large ones each include_____pieces.​

Answers

Answer:12 and 15

Step-by-step explanation:

What is −3/8÷7 1/2? −3 2/7 −1 4/9 −9 1/4 −7 3/2

Answers

Answer:

-7097/315

Step-by-step explanation:

Answer:

7097/315

Step-by-step explanation:

i just need the points

What is the definition of no solution?

Answers

Answer:

No solution would mean that there is no answer to the equation.

Step-by-step explanation:

It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.

There is no answer to that problem. There is either a critical error in the problem, or it's just impossible to calculate. For example, x/0 is literally nothing. You can't solve it.

Question 3
If a = -3, b = 2 and c = -4 find the value of the expression.
6a – 3b + 2c

Answers

Answer: -32

Step-by-step explanation:

You just have to plug in where you see the variables

6(-3) - 3(2) + 2(-4)

-18 - 6 - 8

Answer:

-32

Step-by-step explanation:

An ice cream shop is testing some new flavors of ice cream they invent 25 new flavors for customers to try and throw out the 13 least popular flavors the shop makes 80 cartons of each of the remaining flavor it takes two cartons to get on liter of ice cream. How much total ice cream is in the cartons

Answers

Answer:

480

Step-by-step explanation:

25-13=12

12 x 80=960

960 divided by 2=480

In 9 minutes heather can type 54 words what is her rate in words per minute

Answers

Answer:

6wpm

Step-by-step explanation:

Consider the problem of utility over territory. Let’s start simply

with a one-dimensional representation. Consider two actors, 1

and 2, with utility functions defined over a single-dimensional

issue space X = [0, 1], but where the actors can own sections or

“provinces” of the interval. The boundaries between sections are

defined by a vector B = (b1, b2, b3, . . . , bn, 1).

Thus, there are n+ 1 provinces. Define a “size” vector containing the lengths of

each province, S = (b1, b2 − b1, b3 − b2, . . . , 1 − bn). Define for

each actor an “ownership” vector Oi with 1s in the place of the

provinces that it owns and 0s elsewhere.

1. Assume that each actor’s utility function is a simple sum of

how much of the space they own so ui=∑n+1,j=1, oj,sj

(a) Can the players both be made better off by exchanging

existing provinces?

(b) Can the players both be made better off by altering the

boundaries of the existing provinces while preserving the

ownership structure?

(c) Can the players both be made better off by reducing the

number of provinces – for instance, by consolidating

contiguous provinces that are owned by the same actor?

2. Now assume that the utility function is a function of the sum

of the squares of the provinces owned, indicating that there are

increasing returns to the size of a province ui=∑n+1,j=1, (oj,sj)^2

(a) Can the players both be made better off by exchanging

existing provinces (without doing anything else)?

(b) Can the players both be made better off by reducing the

number of provinces – for instance, by consolidating

contiguous provinces that are owned by the same actor?

(c) If the actors are free to adjust both the number of

provinces and the ownership structure, what set of

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2.2 (see formula in the attachments) Consider two states, state 1 and state 2, which can unilaterally

set their tariff rates on imported goods, ti ≥ 0. Each state has an

ideal level for its own tariff, and prefers that the other

side’s tariff be 0, Assume that each side’s utility declines

with the distance between the tariff levels and their ideal point,

as follows

1. Draw the t1, t2 quadrant and draw in the ideal points for each

player.

2. Draw in sample indifference curves for the two states around

their ideal points. What shape are they?

3. Draw in the contract curve between the two ideal points. What

shape is it and why? What equation describes it?

4. The contract curve divides the t1, t2 quadrant into two regions.

How do they differ in terms of how the players could realize

joint gains in each region?

2.3 Consider the utility function u(x) = xρ, where ρ > 0 and x ∈ [0,

1]. Under what conditions would a player with such preferences

be risk acceptant, risk neutral, and risk averse?

Answers

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Given a triangle JLM with vertices J(-4,3), L(-2,7), and M(2,7). What would the coordinates be if it was reflected across the line y=1?

Answers

Answer: M'(2, - 5), L'(-2, -5), j'(-4, - 1)

Step-by-step explanation:

When we do a reflection over a given line, the distance between all the points (measured perpendicularly to the line) does not change.

The line is y = 1.

Notice that a reflection over a line y = a (for any real value a) only changes the value of the variable y.

Let's reflect the points:

J(-4, 3)

The distance between 3 and 1 is:

D = 3 - 1 = 2.

Then the new value of y must also be at a distance 2 of the line y = 1

1 - 2 = 1

The new point is:

j'(-4, - 1)

L(-2, 7)

The distance between 7 and 1 is:

7 - 1 = 6.

The new value of y will be:

1 - 6 = -5

The new point is:

L'(-2, -5)

M(2,7)

Same as above, the new point will be:

M'(2, - 5)

(b) What is the slope of y = -2x and what does this mean?

Answers

Answer:

The slope is up 2, left 1. The slope is negative, meaning the graphgoes from left to right.

Step-by-step explanation:

Find the value of x using segment addition.

Answers

You combine both 2x-12 and x+2 and 11 which makes the equation

2x-12+x+2= 11

The you get your answer which is

X=7

(x2 +2xy +y2)+(x2- 2xy + y2)=

Answers

Answer:

2x^2 + 2y^2

Step-by-step explanation:

Combine like terms.

(x^2 + 2xy + y^2) + (x^2 - 2xy + y^2) =

= x^2 + 2xy + y^2 + x^2 - 2xy + y^2

= x^2 + x^2 + 2xy - 2xy + y^2 + y^2

= 2x^2 + 2y^2

Answer:

2x^2 + 2y^2

Step-by-step explanation:

Help please this is due at 2:00 :(

Answers

Answer: your independent variable will be the group that receives the placebo. the dependent variable would be the group that received serum B, and your experimental group are the agents from both groups. I say that because both groups received the experimental serum, whereas the first group got a placebo. not sure if your teacher only wants one answer for each questions, but this is what I believe to be correct.

Step-by-step explanation:

Mike, Larry, and Daryl are brothers that own a shoe store. For every pair of shoes sold, they earn $18.00 in profits. At the end of the day, they split the profits equally among them. Which of the following equations can be used to find P, the profit each brother earns if n pairs of shoes are sold in one day?

Answers

Answer:

The answer is $18n/3= p

BRAINLIST!!!!! Do you know the sample response?!

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Answer:

The graph and equation both match and are a function. there is one specific output fro each input

Step-by-step explanation:

a-b-c=9, solve for a

Answers

Answer:

d

Step-by-step explanation:

Answer: a = 9 +b + c

Steps: a - b - c = 9

Subtract -b and -c from both sides:  a - b - c - (-b -c) = 9 - (-b -c)

Simplify: a = 9 +b + c

Plz mark brainliest:)

A figure lies entirely in Quadrant I. The figure is reflected in the x-axis. In which quadrant is the image?

Answers

Answer: quadrant 4 i think...

Step-by-step explanation:

Answer:

Quadrant IV  (4).

Step-by-step explanation:

It will be in the quadrant below which is Quadrant IV.

What is the length of the third side of the window frame below?
A. 10 inches
B. 12 units
C. 16 units
D. 20 units

Answers

Answer:

20 units

Step-by-step explanation:

a^(2)+b^(2)=c^(2)

48^(2)+b^(2)=52^(2)

2304+b^(2)=2704

2304-2304+b^(2)=2704-2304

b^(2)=400

\sqrt(b^(2))=\sqrt(400)

b=20

therefore,20 is the length of the unknown side

-plz mark brainliest-i try hard to help u guys

if you have a question on som else let me know

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