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Sphinxa [80]
3 years ago
11

Someone please help me!

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

Answer:

A. x \leq -16  

B. b > 11

C. c \leq -13

D. x \geq -9

Step-by-step explanation:

<u>Given the following algebraic expression;</u>

A. \frac {3x}{4} \leq 12

We would simplify the equation by multiplying all through by 4;

4 * \frac {-3x}{4} \leq 12 * 4

-3x \leq 48

Divide both sides by -3;

x \leq -16

B. 5b - 28 > 27

Rearranging the equation, we have;

5b > 27 + 28

5b > 55

Divide both sides by 5

b > 11

C. 13c \leq -169

Divide both sides by 13

c \leq -13

D. 3x - 7 \geq 4x + 2

Collecting like terms, we have;

3x - 4x \geq 2 + 7

-x \geq 9

Divide both sides by -1

x \geq -9

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Answer:

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Step-by-step explanation:

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3 years ago
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ANSWER ALL (a-d) FOR 30 POINTS - EASY
djverab [1.8K]
Part a.

<span>The perimeter formula is: </span>P = 2w + 2L

Your answer for part A is P = 2w + 2L


Part b.

They tell us in part b, that:
w = 6L + 20

Substitute that into what we got for part a.

P = 2(6L + 20) + 2L
P = 12L + 40 + 2L
P = 14L + 40

Your answer for partb is P = 14L + 40


Part c.

So we take what we got from part b, and solve for L.

P = 14L + 40
14L = P - 40

L = \boxed{\frac{P-40}{14}}

That is your answer for part 3 ^


part d.

Plug in w = 32 into what we first got in part b.

w = 6L + 20
32 = 6L + 20
6L = 12

L = 2

Your answer for part d is L = 2

<span>:D</span>
8 0
3 years ago
Help solving this acceleration problem.
Misha Larkins [42]

Answer:

168.4953 (m/s)

Step-by-step explanation:

a(t)=x''(t)=(0.0951t⁴-0.101t³+0.837t²+3.87t-9.37)''= =4*3*0.951t²-3*2*0.101t+2*0.837 =11.412t²-0.606t+1.674.

a(3.85)=11.412*3.85²-0.606*3.85+1.674=168.4953

8 0
3 years ago
Show all steps please
OLga [1]
9-8x\geq0\ \ \ |subtract\ 9\ from\ both\ sides\\\\-8x\geq-9\ \ \ \ |change\ signs\\\\8x\leq9\ \ \ \ |divide\ both\ sides\ by\ 8\\\\x\leq9\\\\  |9-8x|=\left\{\begin{array}{ccc}9-8x&for\ x\leq9\\8x-9&for\ x \ \textgreater \  9\end{array}\right

1^o\ x\in(-\infty;\ 9]\to|9-8x|=9-8x\\\\9(9-8x)=2x+3\\81-72x=2x+3\ \ \ \ |subtract\ 81\ from\ both\ sides\\-72x=2x-78\ \ \ \ |subtract\ 2x\ from\ both\ sides\\-74x=-78\ \ \ \ |divide\ both\ sides\ by\ (-74)\\\\x=\dfrac{-78:2}{-74:2}\\\\\boxed{x=\frac{39}{37}}\in(-\infty;\ 9]

2^o\ x\in(9;\ \infty)\to|9-8x|=8x-9\\\\9(8x-9)=2x+3\\72x-81=2x+3\ \ \ \ |add\ 81\ to\ both\ sides\\72x=2x+84\ \ \ \ |subtract\ 2x\ from\ both\ sides\\70x=84\ \ \ \ \ \ |divide\ both\ sides\ by\ 70\\\\x=\dfrac{84:14}{70:14}\\\\x=\dfrac{6}{5}\notin(9;\ \infty)\\\\\\Answer:\boxed{x=\frac{39}{37}}
6 0
3 years ago
Please solve log4 5-log4 18 =log4 20-2log4 x <br> Thank You
ycow [4]

Answer:

your answer will be 22

Step-by-step explanation:

if you add 20 by 2 it will give you 22 use a calculator if not sure but 22 is your answer

6 0
3 years ago
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