Select the correct answer.
Consider these functions:
f(x) = 2x^3+3
g(x) =x- 4
What is the value of g(f(x))?

Answer:

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 5

g(x) = x²

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Answer:

189 cm²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × product of diagonals

   = [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²

Answer:

C

Step-by-step explanation:

The terms with the same variable are like terms.

Answer:

EG and GH

Step-by-step explanation:

FG is the geometric mean of EG and GH segments.

FG is the geometric mean of EG and GH by using the Right triangle altitude theorem.

Important information:

According to the Right triangle altitude theorem, if an altitude is drawn on the hypotenuse of a right triangle, then the altitude of a right triangle is the geometric mean of the two segments of the hypotenuse.

From the given figure it is clear that,

Using the Right triangle altitude theorem, we get FG is the geometric mean of EG and GH.

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Answer:

13.15

Step-by-step explanation:

Answer:

joe mama

Step-by-step explanation:

Answer:

the answer is cd

Step-by-step explanation:

Answer:

D. Every rational number is also an integer

Step-by-step explanation:

Some rational numbers are integers, but not all of them

Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1

3-(-2)/ -3-7

5/-10

= -1/2

Answer:

27

Step-by-step explanation:

If  [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex],  then the value of  [tex]f(8)[/tex] is  [tex]f(8) = \frac{-93}{4480}[/tex].

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex]  are the real numbers.

We have

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

According to Quadratic Equation,

[tex]f(x)=ax^{2} +bx+c[/tex]

And we have,

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

So,

[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

i.e. putting [tex]x=8[/tex],

[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]

[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]

Solving the above part,

[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]

[tex]f(8) = \frac{-93}{4480}[/tex]

Hence, we can say that value of  [tex]f(8) = \frac{-93}{4480}[/tex] .

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9514 1404 393

Answer:

  C.  greater than 180°

Step-by-step explanation:

Arcs are classified as "major" or "minor" depending on whether they are more or less than half a circle. A major arc is more than half a circle so is greater than 180°.

Answer:

e value = 6

i value = 1

Step-by-step explanation:

The system of equation are;

e - i = 5...(1)

e + 3·i = 9...(2)

Making e the subject of equations (1) and substituting the value of e equation (2) gives;

From equation (1), e - i = 5, we have, e = 5 + i

Substituting the value of e in equation (2), e + 3·i = 9 gives;

e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9

4·i = 9 - 5 = 4

i = 4/4 = 1

i = 1

From e = 5 + i, we have;

e = 5 + i = 5 + 1 = 6

e = 6

Therefore;

e value = 6

i value = 1

Step-by-step explanation:

[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]

Answer:

B is the answer

Step-by-step explanation:

Rigid motion they don't change shape or size just move around.

Answer:

$19.2

Step-by-step explanation:

The school mascot is rectangular in nature.

Perimeter P = 2(L+W)

L is the length = 4feet

W is the width = 12 feet

Perimeter = 2(4+12)

Perimeter = 2(16)

Perimeter  = 32 feet

Convert to inches

12in = 1feet

x = 32 feet

Cross multiply

x = 12 * 32

x = 384in

Hence the perimeter of the school mascot is 384in

If it is to be completely framed using a single row of square tiles each 2inches on an edge

2 inches = 1 tiles

384inches = y tiles

Cross multiply

2y = 384

y = 384/2

y = 192 tiles

The number of tiles needed is 192 tiles

Get the cost of 192tiles

If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2

Hence the cost of the tiles needed is $19.2

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

We can define the absolute value of any number:

IxI as:

"The distance between the point x and the origin in the coordinate axis"

If we are in one dimension, x is just a value, and the coordinate axis will be a number line.

Then we could rewrite this as:

"is the distance between the value x and the 0 in the number line"

So:

IxI = x if x > 0

IxI = -x if x < 0.

Then:

I -5 I

Is the distance between the number -5, and the 0 in the number line, and this is:

I - 5 I = 5.

The correct option is:

"It is the distance that -5 is form 0 on the number line"

Answer:

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

Answer is 11.

Step-by-step explanation:

Maria used two loaves of bread , One loaf is equal=2 1/4 cups so two becomes 2 ×2 1/4= 9/2

Maria makes the remaing 48 muffins of the flour left so,

One muffin is equal 3 1/4 cups so two becomes 2×3 1/4=13/2

Add both of them

9/2+13/2=11

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Answer:

We conclude that the volume of a regular octahedron will be:

Step-by-step explanation:

Given

The length of one of the side or edge of a regular octahedron = a = 4 cm

To determine

The volume of a regular octahedron = V

Using the formula to determine the volume of a regular octahedron

[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]

substituting a = 4 in the volume equation

[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]

[tex]V=\frac{64\sqrt{2}}{3}[/tex]         ∵ 4³ = 64

[tex]\:\:V\:\approx \:30.17[/tex] cm

Therefore, we conclude that the volume of a regular octahedron will be:

Answer:

answer will be 67

Step-by-step explanation:

f(x) = 61 - x

x = -6

hence we substitute the value of x in f(x)

f(-6) = 61 - (-6)

= 61 + 6

= 67

The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The function is given below.

f(x) = 6(1 - x)

The value of the function at x = -6 will be given as,

f(-6) = 6[1 - (-6)]

Simplify the equation, then we have

f(-6) = 6[1 - (-6)]

f(-6) = 6(1 + 6)

f(-6) = 6 × 7

f(-6) = 42

The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.

More about the function link is given below.

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Answer:

the answer will be 9 dollars

Explanation:

The discount of 25% off means you save 0.25*12 = 3 dollars, meaning the final cost is 12-3 = 9 dollars.

Or you can think of it like this: if you save 25%, then you still pay the remaining 75%. So 0.75*12 = 9 dollars is the total cost.

Answer:

25%

Step-by-step explanation:

Answer:

C, "The small crowd of protesters had turned into an angry mob".

Step-by-step explanation:

A and B are 1st person point of view because of "we" and "our". D is 2nd person point of view because of "your".

Answer:

c. The small crowd of protesters had turned into an angry mob.

Point of view is a way the voice sounds.

1st person uses: I, we, she, he, her, my. (it sounds like you are in their head.)

2nd person uses: you, your. (it sounds like the narrator is talking directly to you.)

3rd person uses: they, them he, her. (it sounds like someone is watching the story happening and is telling it from an outside point of view.

1st: My friends and I can't wait until Christmas.

2nd: You and your friends can't wait until Christmas.

3rd: Macy and her friends can't wait until Christmas.

Answer:

Step-by-step explanation:

horizontal = x-axis

vertical = y-axis

Hope this helps!

Answer:

Horizontal: X-axis; Vertical: Y-axis

Step-by-step explanation:

d: 1.25

c: .035

b: .70

a: .23

these are just my guesses but if there right then I hope this helps. I don't know it but these are my best affiliations.

Answer:

$

Step-by-step explanation:

Answer:

An Echo

Step-by-step explanation:

Answer:your answer is c

Step-by-step explanation:if you want to be friends we can just friend me

Answer:

-720

Step-by-step explanation:

10x^3y^2    If x = -2 and y = -3

10 * (-2^3) * (-3^2)

10 * (-8) * (9) = -720

Answer:

A.) -720

Step-by-step explanation:

10x^3y^2

10 times x^3 times y^2

x = -2

y = -3

10 times (-2)^3 times (-3)^2

-2^3 = -2 x -2 x -2 = -8

-3^2 = -3 x -3 = 9

-8 x 9 = -72

10 x -72 = -720

Answer:

2,3,4 are correett

Step-by-step explanation:

1,5,6 are wroongg

Answer: 2 3 4 are your answers