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zubka84 [21]
4 years ago
9

Simplify the expressions. Show your work.

Mathematics
1 answer:
Hunter-Best [27]4 years ago
5 0
7) Use distributive property
3x(4x⁴ - 5x)=3x*4x⁴- 3x*5x = 12x⁵ - 15x²
8) When you open parenthesis with minus sigh in front of it, you need change sings of the terms on opposite. Then find like terms.
(5x⁴-3x³+6x)-(3x³+11x²-8x)= 5x⁴-3x³+6x -3x³-11x²+8x =5x⁴-6x³ - 11x²+14x
9)(x-2)(3x-4)=x*3x-4x-6x+8=3x²-10x+8
10) (x+6)²=(x+6)(x+6)=x²+6x+6x+36=x²+12x+36
For (x+6)², you can also use the formula of the perfect square
(a+b)²=a²+2ab+b²
For (x+6)² =x²+2*x*6 +6²=x²+12x+36


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At a track meet, the 3 members of a relay race ran a total distance of 3/8 of a mile. if each runner ran the same distance. how
Lemur [1.5K]

Answer:

.125 of a mile

Step-by-step explanation:

If the total distance was 3/8 of a mile and there were 3 runners, then each runner ran ___________________.

Change the 3/8 to a decimal

3/8 = 0.375 of a mile

Since there were 3 runners divide the total distance by 3

0.375/3 = 0.125

Each runner ran 1/8 of a mile or 0.125 of a mile.

5 0
4 years ago
Write a slope-intercept equation for a line that passes through (-3,1) and (3, - 11).
Arlecino [84]

Answer:

look below

Step-by-step explanation:

Slope intercept is y=mx+b

first we need to do this

-11 - 1

--------

3 - (-)3

a negative - a negative is just adding so really its

-11 - 1

-----------

3 + 3

this gets you -12/6

-12/6 is -2 which means are slope is -2

now we have

y=2x+b but now we need to find b

We replace y with a y from the prob and the x with an x for the problem

so lets use -3,1

so now we have

1 = 2(-3) + b

2x-3 is -6

We need to get to one so we need to do + 7 which means b = 7

so the equation is y=2x+7

4 0
3 years ago
Find the area of the figure
s344n2d4d5 [400]

Answer:

<h2>          A = 76.912</h2>

Step-by-step explanation:

Area of triangle with angle of 30°:

A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25

Area of triangle with angle of 50°:

A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575

Area of the rest of the figure:

A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087

Therefore:

                  A=A_1+A_2+A_3=6.25+9.575+61.087=76.912

3 0
3 years ago
Write the equation for the following relation. Include all of your work in your final answer. \[R=\left\{(x,y):(4,5),\ (8,7),\ (
Alik [6]

Answer:12.9

Step-by-step explanation:

7 0
3 years ago
Ava arrived at a restaurant for dinner at 6:14. She placed her order, ate, and paid the bill.
SOVA2 [1]
6:14 + 2 hours = 8:14
8:14 + 20 minutes = 8:34
8:34 + 8 minutes = 8:42
C
5 0
3 years ago
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