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3 years ago

HELP MEEEEEEE Which properties can be used to solve 7y − 15 = −29? Select all that apply.

Mathematics

2 answers:

Damm [24]3 years ago

8 0

Answer:

Step-by-step explanation:

B,D

Amiraneli [1.4K]3 years ago

3 0

Answer:

$\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}$

Step-by-step explanation:

$\sf 7y-15=-29$

Using the additive property of equality, we add 15 to both sides of the equation.

$\sf 7y-15+15=-29+15$

$\sf 7y=-14$

Using the inverse property of multiplication, we divide both sides of the equation by 7.

$\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}$

$\sf y = -2$

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Zolol [24]

Answer:

289feet²

Step-by-step explanation:

Area of a rectangle = length x breadth

area of a square = length²

area of the yard that is not covered by the hot tub and fire pit =

Area of the yard - (area of the hot tub + area of the fire pit)

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3 years ago

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4 years ago

What are the roots of the polynomial equation x3 - 6x = 3x2 - 8? Use a graphing calculator and a system of equations.

makkiz [27]

Answer:

d : 4, 1, -2.

Step-by-step explanation:

There's no need for a calculator in my opinion because we can use the rational root theorem which states that the equations of this form:

$\sum_{i=0}^{n} a_{i}x^i = 0 = a_{0} + a_{1}x + a_2x^2 + ... + a_nx^n = 0\\ a_i \in \mathbb{Z}$

Have rational roots, than the roots are of the form: $\frac{k \cdot a_o}{p \cdot a_n}, \ where \ k, p \in \mathbb{Z}.$

Rewriting the equation we have:

$x^3 - 3x^2 -6x + 8 = 0\\By \ our\ previous \ claim \ x \in D_8 \ where \ D_n \ the \ set \ of \ divisors \ of \ n.\\D_8 = \{\pm 1, \pm 2, \pm 4, \pm 8\} \\We \ plug \ in \ some \ number from \ D_8.\\Letting \ x = -2;\\(-2)^3 -3(-2)^2 -6(-2) + 8 = 0 \ \ \ Thus \ x+2 \ is \ a \ factor.\\We \ can \ now \ simplify \ the \ eq. \ using \ Polynomial \ Long \ Division.$

$x^3 -3x^2 -6x + 8 = (x+2)(Q(x))\\To \ find \ Q \ we \ divide \ the \ original \ equation \ by \ x + 2; which \ yields:\\Q(x) = x^2 - 5x + 4.\\So \ we \ can \ use \ the \ quadratic \ formula \ to \ find \ the \ roots:\\x = 4,x = 1. \\Thus \ x \in \{-2, 1, 4\}. \ \ These \ are \ all \ the \ roots.$

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