Which expressions are perfect square trinomials? Select the three correct answers.

Answer:

Step-by-step explanation:

g(x^2 + 2x - 4)

3(x^2 + 2x - 4) + 1

3x^2 + 6x - 12 + 1

3x^2 + 6x - 11

Answer:

y = - 3x² - 24x - 60

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 12 ), thus

y = a(x + 4)² - 12

To calculate a substitute (- 7, - 39) into the equation

- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )

- 27 = 9a ( divide both sides by 9 )

- 3 = a

y = - 3(x + 4)² - 12 ← in vertex form

Expand (x + 4)²

y = - 3(x² + 8x + 16) - 12

   = - 3x² - 24x - 48 - 12

y = - 3x² - 24x - 60 ← in standard form

   = - 3(x²

g(x) = -(x + 1)^2 - 3

Let's simplify this equation

g(x) = -(x^2 + 2x + 1) - 3

Distribute the negative sign

g(x) = -x^2 - 2x + 1 - 3

Combine like terms

g(x) = -x^2 - 2x - 2

The value of a = -2 and this value is LESS THAN 0

Answer:

C. -∞ < x < ∞

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values can be any number. Therefore, we have all real numbers as our domain:

(-∞, ∞) or -∞ < x < ∞

Answer:

C. -∞ < x < ∞

Step-by-step explanation:

Plato

Answer:

What solution set? I think you forgot to add a picture..

What solution do you need help with? :)

Answer:

18m+n4

Step-by-step explanation:

i think.

Answer: girly im not gonna lie im no mathematician but i came up with 18m  8n i sowy if it's wrong but, you can't blame a girl from trying .

Step-by-step explanation: i combined like terms but im probably still wrong just saying .

Answer:

its 28

Step-by-step explanation:

hope this helps also u have to divide 70 divided by 48% in order to get 28

Answer:4.0 and 6.0

Step-by-step explanation:

Marlene needs 15 paper cups to fill with water

An equation is an expression that is used to show the relationship between two or more variables and numbers.

Since each paper cups can hold Two-thirds of a cup of water, hence to hold 10 cups of water:

Number of water cups = 10 cups / (two- thirds) = 10 * 3 / 2 = 15

Marlene needs 15 paper cups to fill with water.

Find out more on equation at: https://brainly.com/question/2972832

Answer: The answer is B

Step-by-step explanation: got it right on e2020

Answer:

(-5,-3.5) is the midpoint

Step-by-step explanation:

See photo for the step-by-step explanation

Answer:

(4, -3.5)

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

3.2/1

Answer:  see proof below

Step-by-step explanation:

Given: A + B = C                → A = C - B

                                          → B = C - A

Use the Double Angle Identity:     cos 2A = 2 cos² A - 1

                                             → (cos 2A + 1)/2 = cos² A

Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · 2 cos [(A - B)/2]

Use Even/Odd Identity: cos (-A) = cos (A)

Proof LHS → RHS:

LHS:                     cos² A + cos² B + cos² C

[tex]\text{Double Angle:}\qquad \dfrac{\cos 2A+1}{2}+\dfrac{\cos 2B+1}{2}+\cos^2 C\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}\bigg(2+\cos 2A+\cos 2B\bigg)+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\dfrac{1}{2}\bigg(\cos 2A+\cos 2B\bigg)+\cos^2 C[/tex]

[tex]\text{Sum to Product:}\quad 1+\dfrac{1}{2}\bigg[2\cos \bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A-2B}{2}\bigg)\bigg]+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\cos (A+B)\cdot \cos (A-B)+\cos^2 C[/tex]

[tex]\text{Given:}\qquad \qquad 1+\cos C\cdot \cos (A-B)+\cos^2C[/tex]

[tex]\text{Factor:}\qquad \qquad 1+\cos C[\cos (A-B)+\cos C][/tex]

[tex]\text{Sum to Product:}\quad 1+\cos C\bigg[2\cos \bigg(\dfrac{A-B+C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+(C-B)}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-(C-A)}{2}\bigg)[/tex]

[tex]\text{Given:}\qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+A}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-B}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1+2\cos C \cdot \cos A\cdot \cos (-B)[/tex]

[tex]\text{Even/Odd:}\qquad \qquad 1+2\cos C \cdot \cos A\cdot \cos B\\\\\\.\qquad \qquad \qquad \quad =1+2\cos A \cdot \cos B\cdot \cos C[/tex]

LHS = RHS: 1 + 2 cos A · cos B · cos C = 1 + 2 cos A · cos B · cos C   [tex]\checkmark[/tex]

Answer:

Step-by-step explanation:

Let the x be the number of months.

In x months, xian will have:

                       (52+16x) stamps

and kai will have:

                     (76+12x)stamps

To find out how many months they will have the same number of stamps, we evaluate the two expressions:

52+16x=76+12x

52+4x=76

4x=24

x=6

So xian and kai will have the same number of stamps after 6 months.

Using either of two expressions, each will have:

52+16(6)=76+12(6)= 148 stamps.

Would appreciate if you could give brainiest have a great day

Answer:

6 months

Step-by-step explanation:

56+ 12x = 80 + 8x

Answer:

3/20

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

3b² - b

when b = 5

Substitute the value of b that's 5 into the expression

That's

3(5)² - 5

= 3(25) - 5

= 75 - 5

We have the final answer as

Hope this helps you

Answer:

you subtract the exponents

Answer:

x = -11

Step-by-step explanation:

-12 = x - 1

-12 + 1 = x

x = -11

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: - 12 = x - 1}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation

[tex] \hookrightarrow{ \sf{x - 1 = - 12}}[/tex]

[tex] \tt{Step \: 2 \: }[/tex] : Move 1 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{x = - 12 + 1}}[/tex]

[tex] \tt{Step \: 3}[/tex] : Calculate

Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \hookrightarrow{ \sf{x = - 11}}[/tex]

The value of x = 11

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

-4x3=12

12÷-6=-2

hope this helps

Answer:

[tex]x=-1/2=-0.5[/tex]

Step-by-step explanation:

So we have the function:

[tex]h(x)=4x+2[/tex]

To find the zero(s) of a function, set the function equal to 0 and solve for x. So:

[tex]0=4x+2[/tex]

Subtract 2 from both sides:

[tex]-2=4x[/tex]

Divide both sides by 4:

[tex]x=-1/2=-0.5[/tex]

So, the zero of the function is -0.5.

This means that the graph (a line) crosses the x-axis at (-0.5, 0).

Answer:

5 paper clips each

Step-by-step explanation:

20/4 = 5

Answer:

They each get 5

Step-by-step explanation:

Answer:

4w + 3 = 2w + 7

-[2w]      -2w

-----------------------

2w + 3 = 7

       -3   -[3]

----------------------

2w  =  [4]

2w =  4

----    ----

2      [2]

w = [2]

First, let's choose two points from the table to solve for our slope.

(0, -1) and (1, 4)

Slope = (4 -(-1)) / (1 - 0) = 5/1 = 5

The slope of our line is equal to 5

So far we have y = 5x + b

To solve for be, we need to plug one of our points into the equation.

-1 = 5(0) + b

Simplify

-1 = b

So, our equation: y = 5x -1

Answer:C) 4.5 units

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

x-7/4=-2

x-7=-8

x=-1

Answer: -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 540 degrees in a pentagon so take 540-(everything there)= 67