Given the definitions of f(c) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x2 + 6x – 8

Answers

Answer 1

Answer:

gf(5) = -8

Step-by-step explanation:

gf(x) = g(x^-1) = x^2 + 6x - 8

f(x) = 2x - 10

gf(x) = 6(2x - 10) - 8

gf(x) = 12x - 60 - 8

gf(x) = 12x - 68

gf(5) = gf(x) = 12x - 68

gf(5) = 12(5) - 68

gf(5) = 60 - 68

gf(5) = -8


Related Questions

The functions f(x) and g(x) are shown on the graph. f(x) = |x|

what is g(x)

Answers

Answer:

D

Step-by-step explanation:

Answer:

i just took it. its actually g(x)=|x+5|

Step-by-step explanation:

(3,-2);slope 1/3 what is the answer?

Answers

Answer:

y = [tex]\frac{1}{3}[/tex] x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = 1 + c ⇒ c = - 2 - 1 = - 3

y = [tex]\frac{1}{3}[/tex] x - 3 ← equation of line

Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth a=? b = 5, c = 12 what is A​

Answers

Answer:

Approximately 10.9

Step-by-step explanation:

[tex]a^2+b^2=c^2[/tex]

Plug in b (5) and c (12)

[tex]a^2+5^2=12^2\\a^2+25=144[/tex]

Subtract 25 from both sides

[tex]a^2+25-25=144-25\\a^2=119[/tex]

Take the square root of both sides

[tex]\sqrt{a^2} =\sqrt{119}[/tex]

a = approximately 10.9

I hope this helps!

Please help! The question and answer choices are attached.

Answers

The answer is B The function shown on the graph has a smaller rate of change but a higher starting point

2. Tiangle ABC has vertices A(3, 3), B(2,-4), and c(0, 0). This triangle is rotated 90
degrees counterelookwise. About vertex C. Draw the rotated shape and write the new
coordinates
10


PLEASE HELP!

Answers

I pretty sure it (B) sorry if I’m wrong

Can someone help me with this question please

Answers

Answer:

Step-by-step explanation:

y+ 20= x+ 15( Vertically opposite angles)

y+ 20- 15= x

x= y+ 5 __(1)

3x+ 5=4y- 15

Substituting (1)

3(y+5)+ 5= 4y-15

3y+15+5=4y- 15

y=15+20

y= 35

x= 40

Kiki bought a hot dog for $3.95 and an iced tea for $1.20. How much change will she receive from a $20 bill? To determine the answer first find the total cost. What was the cost for both items?​

Answers

Answer:

She will receive $14.85

Step-by-step explanation:

$3.95+$1.20=$5.15

$20-5.15=$14.85

Therefore the answer is $14.85

Hope that Helps

HELP HELP HELP PLZZZ right answers only and no links

Answers

Answer:

Step-by-step explanation:

Part A

x-intercepts of the graph represent the value of goods at which profit of of the company is zero → Break even of the company

Maximum value of the graph represents the maximum profit of the company at certain price of the goods.

Part B

Interval in which the function is increasing → x = 0 to x = $3

Profit of the company increases when price of the goods increase from 0 to 3.

Interval in which the function is decreasing → x = $3 to x = $6

Profit of the company decreases when the price of the goods increases from 3 to 6.

Part C

Average rate of change of the function from x = a and x = b,

= [tex]\frac{f(b)-f(a)}{b-a}[/tex]

By applying the same rule,

Average rate of change of the function between x = 1 and x = 3

= [tex]\frac{120-60}{3-1}[/tex]

= [tex]\frac{60}{2}[/tex]

= 30

what is equvalint to 1/2a-4

Answers

If your doing ireadys the answer is 1/2(a-8 but no negative 8 it’s just original 8

ILL MARK BRAINLIEST IF GOTTEN RIGHT IF YOU DONT KNOW DONT ANSWER

Answers

Answer:

A) CPCTC

Step-by-step explanation:

This part of the proof occurs right after two triangles are proven congruent. One could now conclude and establish that every part of each congruent triangle is congruent, which is what is most likely happening in this scenario.

Give the sum of 2m/y and m/y.​

Answers

Answer:

=2m/y+m/y

= 2m+m/y

=3m/y

The length of a rectangular driveway is 3 times its width. If the length is 7 % yards, find
the length of the driveway and the area of the driveway.

Answers

Answer:

3 x 7 and 1/6 = 21 and 1/126

Step-by-step explanation:

your going to multiply 3x7 then you get 21 then you multiply by 1/6 and there you go.

To the nearest​ millimeter, a cell phone is 105 mm long and 66 mm wide. What is the ratio of the width to the​ length?

Answers

Answer:

22/35

Step-by-step explanation:

width/length = 66/105 = 22/35

Answer:

66/105

it says width to the​ length

not length to length

James works at a shop and earns 5.5% commission on his sales. Last month, he earned $265.32 in commission. Calculate his sales for the month.

Answers

Answer:

$14.59

Step-by-step explanation:

commision percentage is 5.5, and total sales is $265.32 so the answer is $14.59.

A family eats at a restaurant. The bill was $54. The family leaves a tip and spends $60 total. How much was the tip as a perentage of the bill? (round to the nearest whole percent)

Answers

Answer:

11%

Step-by-step explanation:

60 - 54 = $6 The tip is $6 since they were meant to pay $54 but gave $6 extra.

The bill is $54.

6/54 = 0.1 recurring

0.1 × 100 = 11.1%

11% is the percentage.

I hope that helps!! ^-^

Help? cant seem to figure this out. Appreciate it!

Answers

Answer:

327 cm²

Step-by-step explanation:

The opposite faces of a cuboid are congruent , front and back, top and bottom, the two side faces, then

SA = 2(9.5 × 8) + 2(5 × 8) + 2(9.5 × 5)

     = (2 ×76) + (2 × 40) + (2 × 47.5)

     = 152 + 80 + 95

     = 327 cm²

Answer:

Step-by-step explanation:

SA = 2B + LA         B = area of base        LA = lateral area

B = area of the rectangle with length of 9.5 and width of 5

  = 9.5(5) = 47.5

LA = perimeter of base times the height

    = [2(9.5) + 2(5)] (8)

    = (19 + 10)(8)

    = 29(8)

    = 232

SA = SA = 2B + LA  = 2(47.5) + 232

     = 95 + 232

     = 327 sq cm

Polygon B is a scaled copy of Polygon A using a scale factor of 5.
Polygon A’s area is what fraction of Polygon B’s area?

Answers

Answer:

1/5

Step-by-step explanation:

A: 1

B: 5

Scale is 1:5

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

Given the scale factor is 5 , then

the scale factor of areas is 5² = 25

Then A is [tex]\frac{1}{25}[/tex] of B's area

I'm in a rush but please take your time answering! I'm giving out 100 points and I'll give brainliest right away! Thank you!

Answers

Answer:

d

Step-by-step explanation:

Arrange the numbers in ascending order 2121,3625,8750,6540​

Answers

2121, 3625,6540 and 8750 is the answer.

hope it helps

Maria averaged 212 miles on the first 3 days of her trip.She averaged only 104 miles on the other six days of her trip what was the overall average number of the miles travel

Answers

Answer:

1260

Step-by-step explanation:

212x3=636

104x6=624

636+624=1260

a father is 24years older than his son. if the son is x years old, how old is the father and if the ratio of their ages is 5:2, what is the age of the son?​

Answers

x+25/x=5/2

5x=2(x+24) 5x=2x+48

5x-2x=48

3x=48 3x/3=48/3

the age of son=16

father=24+x 24+16=40

F=40 s=16

40/16=5:2

The chart below shows the number of sit-ups Annie did starting May 1. If this trend continues, how many sit-ups is Annie expected to do on May 11

Answers

Answer:

550 sit-ups

Step-by-step explanation:

Given

See attachment for chart

Required

Number of sit-ups on March 11

Represent the number of sit-ups with x and the days with y.

So:

[tex](x_1, y_1) = (1,50)[/tex] --- May 1

[tex](x_2, y_2) = (2,100)[/tex] --- May 2

First, we calculate the slope of the line chart.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{100 - 50}{2-1}[/tex]

[tex]m = \frac{50}{1}[/tex]

[tex]m = 50[/tex]

Next, we calculate the equation using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 50(x - 1) + 50[/tex]

[tex]y = 50x - 50 + 50[/tex]

[tex]y = 50x[/tex]

So, on May 11.

[tex]x= 11[/tex]

Substitute 11 for x

[tex]y = 50 * 11[/tex]

[tex]y = 550[/tex]

please help !! What is the area of the trapezoid shown below?
4
5

Answers

Answer:

the area of the trapezoid is (8 + 4).3/2 = 18

Answer:

18

Step-by-step explanation:

khan

a woodworker makes wooden checkerboards. identify any zeros of the function, and interpret what the zeros mean in terms of the situation

Answers

I have attached an image showing the graph of the function.

Answer:

Zeros are x = $15 and x = $70 and they are the prices at which the woodworker will neither loss nor gain money.

Step-by-step explanation:

First of all, the zeros of a function f(x) are defined as the values of x where f(x) = 0. That is the points where the graph curve touches the x-axis.

Now, from the attached graph, when we locate the point that the curve touches the x-axis, it's at x = 15 and at x = 70.

This means that f(x) = 0 at x = 15 and at x = 70.

Now, from the graph; f(x) is the profit function. So when f(x) = 0, it means there is zero profit which implies no gain and no loss.

Thus, we can conclude that the prices at which the woodworker will neither loss nor gain money is when the price is; x = $15 and x = $70

PLEASE HELP MEEEEEEEE :)))

Answers

Answer:

26

Step-by-step explanation:

Devaughn = 2x

Sydney = x

x + 2x = 78

3x = 78

x = 78 / 3

x = 26

Hope that helps!

Answer:

26

Step-by-step explanation:

Lets say Devaughn age = d and Sydney age = s

Therefore,

d = 2s

and s + d = 78

Well, we can use substitution for d.

s + (2s) = 78

3s = 78

s = 26

ALGEBRA 1:
FIND THE PRODUCT OF THE FOLLOWING:
(x^2+2)(5x+1)
please somebody help me, if you’re correct i’ll give you an extra 50 points for helping. please do not use my question for points as i am failing and truly need help i’m so stressed lol.

Answers

(x^2+2)(5x+1)
use the distribution method
=5x^3+x^2+10x+2


[tex] \sqrt{2x + 1 } = x - 1[/tex]

Answers

X Is equal to 4 ..........................

I will give brainliest if you answer please

Answers

ok the answer is b

Step-by-step explanation:

A parking space shaped like a parallelogram has a base of 17 feet and a height of 9 feet if a mini car 6 feet long and five feet wide parks in the space, then how many square feet of the parking space is not covered by the car

Answers

Answer:

123 cm²

Step-by-step explanation:

First of all, we need to know how exactly to find the area of a parallelogram.

Area of parallelogram= Base*Height

PARALLELOGRAM-

BASE= 17 ft

HEIGHT= 9ft

AREA= 17*9= 153 cm²

The area of parallelogram, will be considered as WHOLE AREA.

Now,

AREA OF MINI CAR-

length= 6 ft

Width= 5 ft

Area= 6*5= 30 ft ²

Square feet uncovere-

153 ft²- 30 ft²= 123 ft²

HOPE IT HELPS!

The slope of the line that passes through the points (3,14) and (5,7) is

Answers

Answer

-[tex]\frac{7}{2\\}[/tex]

Step-by-step explanation:

Answer:

-7/2 or -3.5

Step-by-step explanation:

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