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3 years ago

5

State whether the equations provided are true or false and why

1 answer:

Aleksandr [31]3 years ago

3 0

Answer:

a) true

b) false

c) false

Step-by-step explanation:

remember: <u>if a negative exponent is in the numerator, move the expression to the denominator and make the exponent positive and if a negative exponent is in the denominator, move the expression to the numerator and make the exponent positive</u>

a explanation- 7a x 1/b^3 = 7a/b^3

b explanation- z^-5/12 = 1/12z^5

c explanation- 1/-7x^-1 = -7x

... please give brainliest if you can :)) ...

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(72+9) is equivalent to which expression?

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Answer:

9(8+1)

Step-by-step explanation:

9(8+1) = 9×9 = 81

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4 years ago

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Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Check all that apply.

Verdich [7]

Answer:

6x ≥ 3 + 4(2x - 1)

⇔ 6x ≥ 3 + 8x - 4 => remove the parentheses

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⇔ -2x ≥ -1

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3 years ago

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Which expression is equivalent to –3(u+7)<br> PLEASE ANSWER THE QUESTION

Andreyy89

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3 years ago

Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)

aniked [119]

Answer:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

$ax^2+bx+c$ (1)

You have the following polynomial:

$3x^2-10x+8$ (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

$x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

$x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}$

Then, the factorization of the polynomial is:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

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3 years ago