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Natali5045456 [20]
3 years ago
5

Explain how solving $2x<-8$ is different from solving $-2x<8$ .

Mathematics
1 answer:
miv72 [106K]3 years ago
6 0

Answer:

When we divide by a negative value, the sign for the inequality changes.

Step-by-step explanation:

2x < -8, to solve we would divide by 2 and receive x < -4. However, in solving -2x < 8, we would divide by negative 2, which would result in x > -4. Clearly, these sequences provide opposite answers and that is a rule to inequalities, that when dividing by a negative number, we must flip the less than/greater than sign.

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0.75(3.55a - 6b) simplified please ​
GREYUIT [131]

Answer:

Step-by-step explanation:

2.66a-6b

3 0
3 years ago
Roy Gross is considering an investment that pays 7.6 percent, compounded annually. How much will he have to invest today so that
Debora [2.8K]

Answer: he should invest $16129 today.

Step-by-step explanation:

Let $P represent the initial amount that should be invested today. It means that principal,

P = $P

It would be compounded annually. This means that it would be compounded once in a year. So

n = 1

The rate at which the principal would be compounded is 7.6%. So

r = 7.6/100 = 0.076

The duration of the investment would be 6 years. So

t = 6

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 25000

Therefore

25000 = P(1+0.076/1)^1×6

25000 = P(1.076)^6

25000 = 1.55P

P = 25000/1.55

P = $16129

4 0
3 years ago
If a box has a length of 12 inches, a width of 10 inches and a height of 6 inches, what is the surface area?
Scrat [10]

Answer:

The answer is 28.

Step-by-step explanation:

Add all of them.

(L/ length) 12.

(W/ width) 10

(H/ height) 6

12 + 10 + 6 = 28

I hope this helps

6 0
3 years ago
Read 2 more answers
If a function has a verticale asymptote at a certain x-value, then the function is at the value
stiks02 [169]

Answer:

We conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

Step-by-step explanation:

If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

For example, let the function

f\left(x\right)\:=\frac{x+3}{x-3}

It is clear that the given function becomes undefined at x = 3 in the denominator.

i.e. 3-3 = 0

It means, the function can not have x = 3, otherwise, the function will become undefined.

In other words, if the function has a vertical asymptote at x = 3, then the function is undefined at the value.

Therefore, we conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

8 0
3 years ago
7. point A(-2, 7); parallel to the line y = - 3x - 4
aniked [119]

Answer:

y=-3x+1

Step-by-step explanation:

plug in point into x and y, replace -4 as a +b(or any other variable to represent y intercept)

therefore,

7=-3(-2)+b

7=6+b

1=b

y=-3x+1

8 0
3 years ago
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