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3 years ago

What is the correct answer to number 7? Please explain and break it down step by step.

Mathematics

1 answer:

a_sh-v [17]3 years ago

6 0

Answer:

The answer to your question is (x + 3)

Step-by-step explanation:

$\frac{5x + 5}{x} \frac{x^{3}+ 3x^{2}}{x^{2} - 1} \frac{x - 1}{5x}$

Factor the expression

$\frac{5(x + 1)}{x} \frac{x^{2}(x + 3)}{(x - 1)(x + 1)} \frac{x - 1}{5x}$

Simplify

Cancel 5 because is in both numerator and denominator

Cancel (x + 1) because is in both numerator and denominator

Cancel (x - 1) because is in both numerator and denominator

Cancel x² because is in both numerator and denominator

After simplifying, the result is (x + 3)

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Subject Algebra 1

Mashutka [201]

Answer:

$10x^{2}-34$

Step-by-step explanation:

Because we are told equivalent expressions for y and z we can plug those in to 2(y+z).

$2((3x^{2}+x^{2}-5)+(x^{2}-12))$

Then simplify by combining like terms of the expressions. Values ending in x^2 can be combined with each other.

$2(5x^{2}-17)$

Now we can distribute the 2 by multiplying each value in the parentheses by 2.

$10x^{2}-34$

6 0

2 years ago

HELP ME DO THIS PLZ

cestrela7 [59]

Answer:

It landed at a height of 14 feet

Step-by-step explanation:

Given

$y = -\frac{1}{8}x^2 +4x$ --- Path of a t-shirt

$3y = 2x - 14$ --- height of bleachers

Required

Height when t-shirts land in bleachers

$3y = 2x - 14$

Make y the subject

$y = \frac{2}{3}x - \frac{14}{3}$

Substitute $y = \frac{2}{3}x - \frac{14}{3}$ in $y = -\frac{1}{8}x^2 +4x$

$\frac{2}{3}x - \frac{14}{3} = -\frac{1}{8}x^2 +4x$

Multiply through by 24

$16x- 112 = -3x^2 +96x$

Express as:

$3x^2 + 16x -96x- 112 = 0$

$3x^2 -80x- 112 = 0$

Using a calculator:

$x = 28$ or $x = -\frac{4}{3}$

x can not be negative:

So:

$x = 28$

Substitute $x = 28$ in $y = -\frac{1}{8}x^2 +4x$ to calculate the height it landed

$y = -\frac{1}{8} * 28^2 + 4 * 28$

$y = 14$

3 0

2 years ago

Multiply.

Alik [6]

Answer:

Simplify the expression.

Exact Form:

77 /10

Decimal Form:

7.7

Mixed Number Form:

Hope This Helps

8 0

3 years ago

anyone very good in maths and want to be my friend? Don't answer for points if you're not I will report you.

Minchanka [31]

Answer:

what's the equation??

Step-by-step explanation:

I'll help anytime

8 0

2 years ago

Find the inverse function of h(x) = - 2/3x + 6. h -1(x) = -x + 9 h -1(x) = -x - 6 h -1(x) = -x + 9 h -1(x) = -x - 6

Step2247 [10]

I hope this helps you

5 0

3 years ago