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3 years ago

14

Consider the expression 3(5+2•4)+(-3)

1 answer:

sertanlavr [38]3 years ago

4 0

i've considered it, ty

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Find the perimeter of a field that has length 2/x + 1 and width 5/x^2 -1.

Semmy [17]

Answer:

D)4x + 6/(x + 1)(x - 1)

Step-by-step explanation:

A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle

$p=2(l+w)$

where

$p$ is the perimeter

$l$ is the length

$w$ is the width

We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so $l=\frac{2}{x+1}$ and $w=\frac{5}{x^2-1}$ .

Replacing values:

$p=2(l+w)$

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

Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula $a^2-b^2=(a+b)(a-b)$ where $a$ is the first term and $b$ is the second term. We can infer that $a=x^2$ and $b=1^2$ . So, $x^2-1=(x+1)(x-1)$ . Replacing that:

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

$p=2(\frac{2}{x+1} +\frac{5}{(x+1)(x-1})$

We can see that the common denominator of our fractions is $(x+1)(x-1)$ . Now we can simplify our fraction using the common denominator:

$p=2(\frac{2(x-1)+5}{(x+1)(x-1)} )$

$p=2(\frac{2x-2+5}{(x+1)(x-1)} )$

$p=2(\frac{2x+3}{(x+1)(x-1)} )$

$p=\frac{4x+6}{(x+1)(x-1)}$

We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).

3 0

4 years ago

Simplify -3d^8(-4d^-14). Assume d =/ 0

Alenkinab [10]

Answer:

$\frac{12}{d^6}$

Step-by-step explanation:

$-3d^8\left(-4d^{-14}\right)$

Double negative = Positive:

$3d^8*4d^{-14}$

Apply negative exponent formula:

$3*d^8*4*\frac{1}{d^{14}}$

Multiply:

$\frac{12d^8}{d^{14}}$

Apply exponent rule: $\frac{x^a}{x^b}=\frac{1}{x^{b-a}}$

Thus, $\frac{12}{d^{14-8}}$

Simplify:

$\frac{12}{d^6}$

8 0

3 years ago

Solve 5(2x) = 7(x-1).<br> Neeeeed help

vekshin1

Answer:

If looking for x then X= -7/3.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Can someone answer this?

ad-work [718]

Answer:

Step-by-step explanation:

6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)

23x+15=360

23x=360-15

x=345/23

x=15

therefore the value of x is 15 degree.

8 0

3 years ago

Ariane gets paid $0.50 for the first 100 craft kits that she assembles. She earns $0.75 for each kit over 100. This week she ass

Fofino [41]

0.50*100= $50
0.75*35=26.25
50+26.25=$76.25
C

5 0

3 years ago

Read 2 more answers