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2 years ago

Answer this equation -3(5g+1)+8g=

Mathematics

2 answers:

maksim [4K]2 years ago

6 0

Answer:

-7g - 3

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define expression

-3(5g + 1) + 8g

Step 2: Simplify

Distribute -3: -15g - 3 + 8g
Combine like terms: -7g - 3

Sauron [17]2 years ago

5 0

Answer:

-7g - 3

Step-by-step explanation:

First, do distributive property. -3(5g+1)+8g= -15g-3+8g

Now combine like terms. (-15g + 8g) -3 =

-7g - 3 This is the answer since you can't combine a coefficient with a number without a variable.

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dlinn [17]

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2 years ago

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3 0

2 years ago

Complete the square than convert to vertex form. y=2x^2+8x-9

8_murik_8 [283]

$y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0$

There are 2 roots so the only way to complete the square is,

$y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17$

Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.

then complete the square and multiply 2 inside the brackets.

subtraction as you already get the vertex form and know how to complete the square.

Vertex Form: $y=2(x+2)^2-17$

3 0

2 years ago

solve the system of linear equations using substitution. Which expression would be eastier to substitute into the other equation

Colt1911 [192]

The x=7y-4 one and put it to where the x in the other equation is.

7 0

3 years ago

Find the x-intercepts of the quadratic funct f(x) = x2 – 5x – 14

Trava [24]

Answer:

x = - 2, x = 7

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 2 = 0 ⇒ x = - 2

7 0

2 years ago