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

Two trains, train A and train B, weigh a total of 251 tons. Train A is heavier than Train B. The difference of their weights is 181 tons. What is the weight of each train?

Answers

Train A weighs 181 tons and train B weighs 70 tons.

What is the answer to g(-9)

Answers

Answer:

-9g

Step-by-step explanation:

Move -9 to the left of g

I think this is right, sorry if it is wrong, have a great day

true or false? typing 720 words in 12minutes is equal to 60 words per minute

Answers

Answer:

720/60

=12

Yepz

Step-by-step explanation:

True

Hope it helps

Answer:

It's True

Step-by-step explanation:

1 minute = 60 words

then how many words in 12 minutes?

So, Multiply 12 with 60

12 × 60 = 720

Thus, 720 words can be type in 12 minutes

-TheUnknownScientist

hey its mathematics please and thank you

Answers

12.93 because 20.56-7.63= 12.93 <3

HELP! 9 is what percent of 100 (need to show how I got my answer)

Answers

Answer:

9%

Step-by-step explanation:

We can start by changing this number to a fraction.

[tex]\frac{9}{100}[/tex]

We know that 100 is a whole percentage

Therfore, we would get 9%

The answer is 90% or 9 percent

Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain

Answers

Answer:

Yes

Step-by-step explanation:

Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]

This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.

Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.

Someone help me ASAP !

Answers

Answer:

31

Step-by-step explanation:

Maria is solving this number riddle by using guess and check: Fifteen less than a number is twelve.
Based on the riddle, which statements must be true? Check all that apply.

Answers

Answer:

27

Step-by-step explanation:

x-15=12

x=15+12

x=27

Answer:

27

Step-by-step explanation:

Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?

Answers

Answer:

[tex]Area = 287\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 20.5[/tex]

[tex]Space = 4.25[/tex]

[tex]Panels = 3[/tex]

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

[tex]Total\ Width = 50.5[/tex]

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]

[tex]Reduced\ Width = 42[/tex]

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

[tex]Width = \frac{42}{3}[/tex]

[tex]Width = 14[/tex]

The area of one is:

[tex]Area = Length * Width[/tex]

[tex]Area = 20.5 * 14[/tex]

[tex]Area = 287\ in^2[/tex]

I won 70 stickers. I gave 1 to each student. I have
54 left. How many did I give away?

Answers

Answer:

16

Step-by-step explanation:

70-54=16

Answer: you gave away 16 stickers

Step-by-step explanation: if you have 70 and you give one to each student, to find the amount you lost you would do 70-54 because that’s how many u have left and it leaves u with 16

What Is The Measure Of X?

Answers

Answer:

Its a:70 degrees..........

Answer:

60 degrees

Step-by-step explanation:

This is because on the other side there is 30 degrees, and since a right angle= 90 degrees, simply do 90-30=60

solve the following quadratic equation (x-16)^2=256

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

[tex]sln \\ x {}^{2} - 16 {}^{2} = 256 \\ x {}^{2} = 256 - 16 {}^{2} \\ x {}^{2} = 256 - 256 \\ x {}^{2} = 0 \\ x = 0[/tex]

I hope this help you

Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.

Answers

Answer:

24

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices

There are different types of triangles. They include :

Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equal

Area of a triangle = 1/2 x ( base x height)

1/2 x (6 x 8) = 24 ft²

how many true solutions are in x^2− 6x − 7 = 0

Answers

There are 2 true solutions in x^2-6x-7=0

hi can you please help me with this. the question is in the picture:)

Answers

i believe the answer should be d

determine two pairs of polar coordinates for the point (4, -4) with

Answers

Answer:

(4√2cos 135,  4√2sin135)

Step-by-step explanation:

determine two pairs of polar coordinates for the point (4, -4) with

Given the rectangular coordintate

r = √4²+(-4)²

r = √16+16

r = √32

r = √16*2

r =4√2

Theta = arctan(-4/4)

theta = arctan(-1)

theta = -45

theta = 180 - 45

theta = 135 degrees

x = rcos theta

y = rsin theta

x = 4√2cos 135

y = 4√2sin135

What will happen to a number, if it was added to its inverse?

Answers

Answer:

The word "inverse" in the question is ambiguous, since x usually has inverses under both addition and multiplication. ... If the question is asking about the additive inverse (opposite), then the sum is always 0 for any x . So the sum takes its maximum value for any x .

Step-by-step explanation:

Answer:

Zero

Step-by-step explananation:

An inverse is the opposite of another number, so if you add them together it would equal zero.

Here are a few examples.

5+-5=0

9+-9=0

150+-150=0

-220+220=0

-476+476=0

The inverse is simply the originall number, but on the opposite side of the number line. Meaning you add or take away the negative sign, depending on the original number.

Hope I explained well:)

The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams

Answers

Answer:

HELP ME!?

Step-by-step explanation:

Dexter’s aquarium holds 4.5 gallons of water. He needs to add some chemicals to balance the pH level in the aquarium. However, the chemicals are in liters. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of water in Dexter’s aquarium?
A 1.18 L

B 0.7 L

C 8.3 L

D 17.1 L

Answers

Answer:

the answer is d 17.1 L

Step-by-step explanation:

does anyone know the answer to this ?

Answers

Answer:answer b

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

The segments shown below could form a triangle.

A. True
B. False

Answers

The answer is True.
The answer is true because it just is

Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each week, he deposits $11 in the account. Write an algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months.

Answers

Answer:

140 + 96 m

Step-by-step explanation:

There are 4 weeks in 1 month.

Therefore:

Jonny has $50 in a savings account. Each week, he deposits $13 in the account.

$50 + $13 × 4m

The algebraic expression is given as:

50 + 52m

Jonny's brother has $90 in a saving account.

Each week, he deposits $11 in the account.

The algebraic expression is given as:

$90 + $11 × 4m

90 + 44m

An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:

Amount Jonny has + Amount his brother has

50 + 52m + 90 + 44m

= 50 + 90 + 52m + 44m

= 140 + 96 m

The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3

Answers

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³

TO FIND :-

Volume of cone

FACTS TO KNOW BEFORE SOLVING :-

Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is  [tex]\frac{1}{3} \pi r^2 h[/tex]

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]

Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
2x – 4y = 10
-12x + 24y = -60

Answers

Answer is in a photo below.
It is consistent and independent.
x=25, y=10

Megan has a bag of 6 green, 1 yellow, and 3 purple blocks. She draws a block, replaces it, and then draws another block. What is the probability that the two blocks are the same color?

Answers

Answer:

2/10 20%

Step-by-step explanation:

One day a retail store received a box of 24 shirts. If this shipment had 6 defective shirts, what can the store expect for upcoming shipments?

F.
A box of 32 shirts will have 12 defective shirts.

G.
A box of 40 shirts will have 10 defective shirts.

H.
A box of 48 shirts will have 3 defective shirts.

J.
A box of 64 shirts will have 8 defective shirts.

Answers

Answer:

the answer is H.

Step-by-step explanation:

Find the first four terms of the sequence given by the following.
an= 9(2)^-1,
n=1, 2, 3...

Answers

Answer:

See this attachment...

Step-by-step explanation:

Your answer dear

hope it's helpful to you

Carly went for a walk and jog
• She started walking.
• After a few minutes, Carly began jogging at a faster speed than she was walking
• Carly got tired then slowed down to a slower speed than she was jogging

which graph best represents the distance Carly went?

Answers

Answer:

I believe D

Step-by-step explanation:

The reason is she starts off slowly but then keeps on gaining up and up.

Can someone help me with this it’s timed !!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

1. A

2. Missouri Compromise

3. Abolition

Step-by-step explanation:

Which represents the dimensions of the rectangular park?
A. W = 20 ft. and / = 50 ft.
B. w = 30 ft. and I = 80 ft.
C. w = 50 ft. and I = 20 ft.
D. w = 80 ft. and I = 60 ft.

Answers

I’m guessing b not sure
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