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2 years ago

Solve and graph 1. 3x-7>5 2. -1y<3

Mathematics

1 answer:

tekilochka [14]2 years ago

7 0

Answer:

1. x>4

2.y>-3

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The factorization of 8x3 -125 is (2x-5)(jx2 +kx+25)

lbvjy [14]

$\bf ~\hspace{10em}\textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 8x^3-125~~ \begin{cases} 8=2\cdot 2\cdot 2\\ \qquad 2^3\\ 125=5\cdot 5\cdot 5\\ \qquad 5^3 \end{cases}\implies 2^3x^3-5^3\implies (2x)^3-5^3 \\[2em] [2x-5][(2x)^2+(2x)(5)+5^2]\implies (2x-5)(\stackrel{\stackrel{j}{\downarrow }}{4}x^2+\stackrel{\stackrel{k}{\downarrow }}{10}x+25)$

3 0

3 years ago

An athlete buys a baseball bat and pays a fee for each baseball lesson taken. The fee for each lesson is the same. The number of

jolli1 [7]

Answer:

The cost of the lessons taken

Step-by-step explanation:

Let

y -----> the total paid for the baseball bat and the lessons

c ----> the number of lessons

we have

y=25c+75

This is a linear equation in slope intercept form

y=mx+b

where

b=$75 -----> the price of he baseball bat (y-intercept)

m=25 $/lesson ----> the slope of the linear equation

therefore

25c represent the cost of the lessons taken

7 0

3 years ago

What is the answer. PLEASE HELP ME. urgent PLEASE.

Liono4ka [1.6K]

I think 85 square inches

6 0

3 years ago

In the triangles shown, ABC is dilated by a scale factor of to form XYZ. Given that mA = 45o and mB = 105o, what is mZ?

kompoz [17]

The value of angle Z is 30 degrees

<h3>How to determine the value of angle Z?</h3>

The given parameters are:

ABC is dilated to form XYZ

This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal

So, we have the following angle equations

A = X

B = Y

C = Z

Also, we have

A + B + C = 180

Substitute C = Z in A + B + C = 180

A + B + Z = 180

Substitute A = 45 and B = 105

So, we have:

45 + 105 + Z = 180

Evaluate the like terms

150 + Z = 180

Subtract 150 from both sides

Z = 30

Hence, the value of angle Z is 30 degrees