Given f(x)=2x+1 and g(x)=7-x. Find g(f(x)).

Given F(x)=2x+1 And G(x)=7-x. Find G(f(x)).

Answers

Answer 1

Answer:

f(g(x)) = 2(7 - x) + 1

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 7 - x

The question in the picture itself says to find f(g(x)) so i'll find that instead

f(g(x)) = 2(7 - x) + 1

f(g(x)) = 14 - 2x + 1

f(g(x)) = -2x + 15


Related Questions

find the value of 3a + 4b when a=19 and b=9

Answers

Answer:

3x19+14x9

183

Step-by-step explanation:

A line passes through the point (-6, -2) and has a slope of -5/2


Answers

Answer: y = -5/2 -17

Step-by-step explanation: First put the equation in point slope form

Y-y1 = m(x-x1)

y + 2 = -5/2(x+6) then simplify to slope int. form

Y= mx + b

Y = -5/2x-17

Answer:

y = (-5/2)x - 17

Step-by-step explanation:

Slope Intercept Formula:

y = mx + b

m = slope

b = y-intercept

Plugin Information:

y = mx + b

Slope = -5/2

y = (-5/2)x + b        [tex]\longmapsto\\[/tex]         Input x and y values from given point

-2 = (-5/2)-6 + b

Simplify, Solve for b:

-2 = (-5 * -6)/(2) + b

-2 = 30/2 + b

-2 = 15 + b

b = -2 - 15

b = -17

Rewrite Equation:

y = mx + b

m = -5/2

b = -17

y = (-5/2)x - 17

-Chetan K

-Chetan K

#Help plz
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#Quality answer needed​​

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

PLZ HELP!!!!
Use the function f(x)=x^2+4x-5 and the coordinate plane. SHOW ALL WORK FOR EACH PART!
What are the values of a, b, and c? (3pts)



Does the parabola open up or down? How do you know? (2pts)



What is the maximum or minimum value? How do you know? (2pts)



What are the x-intercepts? (2pts)



What is the y-intercept? (1pt)


What is the vertex? (2pt)

Answers

9514 1404 393

Answer:

  a) a=1, b=4, c=-5

  b) opens up; a > 0

  c) minimum = -9, the y-value of the vertex

  d) x = -5, 1

  e) y = -5, the value of c

  f) (-2, -9)

Step-by-step explanation:

A graph drawn by a graphing calculator can answer all of these questions quickly and easily.

__

a) The values of 'a', 'b', and 'c' are the values of the coefficients of the terms in the function definition. They refer to the coefficients in the standard form:

  f(x) = ax^2 +bx +c

  f(x) = x^2 +4x -5 . . . . . . . your equation with a=1, b=4, c=-5

__

b) The parabola opens up. This is because the value of 'a' is greater than zero.

__

c) The minimum is the y-value of the vertex. When the function is written in vertex form it is ...

  f(x) = (x -h)^2 +k . . . . . . . . . . . vertex (h, k)

Your function can be put into this form:

  f(x) = x^2 + 4x +4 -5 -4 . . . . . . add and subtract 4 to complete the square

  f(x) = (x +2)^2 -9 . . . . . . . . vertex form. The vertex is (-2, -9).

The y-value of the vertex is -9, the minimum value of the function.

__

d) Solving f(x) = 0, you get ...

  (x +2)^2 -9 = 0

  (x +2)^2 = 9 . . . . . . . . add 9

  x +2 = ±√9 = ±3 . . . . . take the square root; next, subtract 2

  x = -2 ±3 = {-5, 1} . . . . . the x-intercepts

__

e) The y-intercept is f(0) = c = -5.

__

f) The vertex was found in part (c) to be (-2, -9).

regression and data analysis

Answers

Answer:..

Step-by-step explanation:..

A particle moves along the x-axis so that time t>0 the position is given by x(t)=0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1. What is the velocity of the particle at the first instance the particle is at the origin?

Answers

The velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

To find the velocity of the particle at the first instance it is at the origin, we need to find the value of t when x(t) = 0.

Since the particle is at the origin when x(t) = 0, we have:

[tex]0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1 = 0[/tex]

Using numerical methods or graphing the equation, we find that the roots are approximately t ≈ -0.618, t ≈ 1.532, t ≈ 3.143, and t ≈ 2.944.

Since t > 0, the first instance the particle is at the origin corresponds to t ≈ 2.944 (the smallest positive real root).

Now, to find the velocity of the particle at this instance, we need to find the derivative of the position function x(t) with respect to time t, which gives us the velocity function v(t):

v(t) = dx/dt

[tex]v(t) = d/dt (0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1)\\v(t) = 2t^3 - 4.5t^2 - 4t + 6[/tex]

Now, we can find the velocity at t ≈ 2.944:

[tex]v(t = 2.944) = 2(2.944)^3 - 4.5(2.944)^2 - 4(2.944) + 6[/tex]

v(t ≈ 2.944) ≈ 16.885

So, the velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

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The perimeter of an equalateral triangle is 17cm less than the perimeter of a rectangle. The length of one side of the triangle is 5cm. Construct an equation for the perimeter of tge rectangle

Answers

Answer:

P=5x3+17  P=32

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

Rate of change problem:

theres 2 ways but it’s a basically the same thing, if you do these questions enough you’d know right away to find the unit rate of gallon of gasoline To price.

So you can divide.

10 gallons, 23 dollars

23 ÷ 10 = $2.30

$2.30 per gallon of gasoline.

Now we multiply by 15 to find how much will 15 gallons will cost.

2.3*15= $34.5

or you can do it proportionally, this is if you would want to show your work more clearly or just started doing these problems.

So we can make x unknown price.

So we know its 10 gallons for 23 dollars

we want to know how much it would be for 15 gallons

So we can do it like gallon/ price = gallon/ price

ex:

10/23 = 15/x

Make sure it’s lined up correctly

Now just cross multiply and solve for this proportion

10x= 345

now solve

x= 34.5

same answer

7. answer correct for brainliest

Answers

Answer:

4 7/20

Step-by-step explanation:

8 1/4 - 3 9/10

get a common denominator of 20

8 1/4 *5/5 - 3 9/10 *2/2

8 5/20 - 3 18/20

borrow 1 from the 8 in the form of 20/20

7 +20/20 + 5/20 - 3 18/20

7 25/20 - 3 18/20

4 7/20

Answer: 4.35

Step-by-step explanation: 8 1/4 as a decimal is 8.25. 3 9/10 as a decimal is 3.9. 8.25 - 3.9 = 4.35.

I need help with my math

Answers

Answer:

Find the point of intersection of the graphs of the equations.

Step-by-step explanation:

that's the answer

keep on leaning math

Find the rate of depreciation if you bought a car for $20,000 and, after 4 years, it is worth $12,800. Round to the nearest hundredth.
Use the depreciation model y=a(1−r)t.

Answers

Answer:

I think he answer might be 13,000

Step-by-step explanation:

if the number is higher then 5 it goes over to the tenth

Use a table to find two consecutive integers between which the solution lies.
1. 6x+5=81

2. -115b+80=-489

someone please help me with this :,)

Answers

Answer:

352/7  is answer

Step-by-step explanation:

1) Given any logarithmic equation of the form logo x = y, what is the restriction on "x" and why?

Answers

Answer:

x=(h)

Step-by-step explanation:

Which in fraction reprecent 80%

Answers

Answer:

answer is 4/5

Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. ASA
D. SAS

Answers

b. ssa
it’s not the postulate

Question 1-2
1
Tom walks 1 mile in
of an hour. Kyle walks 4 miles in
4
of an hour.
5
Who walks at a faster speed, Kyle, Tom, or neither?

Answers

Answer:

460 feet

Step-by-step explanation:

Kyle walks the fastes

Explain why the square root of a number is defined to be equal to that number to the 1/2 power.

Answers

    This is because of the law of indices which says:

[tex]\sqrt[x]{n}[/tex]= [tex]x^{\frac{1}{m} }[/tex]

    So, if we have:

[tex]\sqrt{n}[/tex]

    Then the following will be true because of this math law:

[tex]n^{\frac{1}{2} }[/tex]

Side note: The m value can be greater than n and or less than n, but if it is equal the m and n values cancel out.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

You flip a coin four times. “Heads” is called a success. possible outcomes are shown in the tree diagram. What is the probability of the coin landing heads up exactly twice out of the four flips?

Answers

Answer:

6/16

Step-by-step explanation:

there are 6 chances for it to be a double success out of a total 16 tries

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Given: -3x + y = 1.



Write the equation in general form Ax + By + C =0.

3x - y = -1
3x - y + 1 = 0
-3x + y - 1 = 0

Answers

The answer is the last option.

All you have to do is subtract the 1 on both side of the equation to set it to 0 to get it into the general form.

What percent is 30 out of 75?

Answers

Answer:

40%

Step-by-step explanation:

(30/75) x 100 = 40%


bdjdndnd

Identify the y-intercept of this line. b =

-

Answers

Answer:

b = 4

Step-by-step explanation:

The y- intercept is the point on the y- axis where the line crosses it

Here the line crosses the y- axis at b = 4

please some one helppppp!!!!!!!!!!!!!!​

Answers

Answer:

22.49

Step-by-step explanation:

(4.83)² × 6√0.276 / 3.27 =

23.3289 × 6(0.5254) / 3.27 =    (rounded)

22.49 (rounded)

memona has a 6kg sack of rice and some empty bags. she fills each bag with 475 grams of rice from the sack. how many bags can memona completely fill with rice?

Answers

Answer:

1500

Step-by-step explanation:

1000×6÷4

250×6

1500

There are 90 seats on a train. 63 of the seats are empty. What percentage of the seats on the train are empty?

Answers

Answer:

70%

Step-by-step explanation:

What happens to the value of y in the following equation as the value of x increases, where x is a whole number?

y = x 2 + 4

Answers

Answer:

y as well will increase as x value increases bc x is a whole number and y intercept is positive 4

It is found that as the x value increases then the y value will also increase.

What does it mean to solve an equation?

An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have been given the equation as y = x² + 4

when the value of x is 0 then the value of y will be;

y = x² + 4

y = 0 + 4

y = 4

when the value of x is 1 then the value of y will be;

y = 1² + 4

y = 1 + 4

y = 5

Also when the value of x is 2 then the value of y will be;

y = 2² + 4

y = 4 + 4

y = 8

Thus we can conclude that as the x value increases then the y value will also increase.

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PLS HELP NOWWWWWWWWWWWW

Answers

Answer:

is no solution an answer choice cause thats what i got

Step-by-step explanation:

All changes saved
D
4. Eric is helping his younger sister learn division. He is having a hard time explaining what a remainder is. Help Eric out by describing
what a remainder is in your own words. What is the remainder when 76 is divided by 3?

Answers

Answer:

You'd get 25.3333 or you could also express 76/3 as a mixed fraction: 25 1/3.

                         ↑  

                  the arrow pointing shows what the remainder means

remainder is the one which is down

Someone please help me i need to finish this by tonight.

Answers

The numbers are kind of blurry can you send the coordinate points plz

Answer:

Step-by-step explanation:

Felicia wants to keep her bill under $55. A cell phone provider charges Felicia $50 per month for her plan plus $0.05 per minute of long-distance calls. Which graph correctly shows the number of long-distance minutes Felicia can use this month?

Answers

Answer:

.05x+50=55

100 minutes

Step-by-step explanation:

simplify

.05x=5 (subtract 50 on both sides)

5/.05=x

100=x

she can call for 100 minutes

Write a polynomial function of the least degree that has roots of 3 and (4 + i).

Answers

Answer:

your answer is 4+3

Step-by-step explanation:

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