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3 years ago

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

Mathematics

2 answers:

diamong [38]3 years ago

8 0

Answer:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

Step-by-step explanation:

We can start by dividing the inequality by 3 to get ...

8 -4x < 2(x -5)

And we can divide by 2 to simplify further to ...

4 -2x < x -5

Now, we can add 2x+5, which gives ...

9 < 3x

and then divide by 3 again:

3 < x

This is graphed on a number line as described above.

LUCKY_DIMON [66]3 years ago

5 0

Answer: Option B

Step-by-step explanation:

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svetlana [45]

The answer is 2,596 so it would be C

7 0

3 years ago

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I need help asap plz!!!

svet-max [94.6K]

Answer:

AC ≈ 10.3

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan48° = $\frac{opposite}{adjacent}$ = $\frac{AC}{AB}$ = $\frac{AC}{9.3}$ ( multiply both sides by 9.3 )

9.3 × tan48° = AC , then

AC ≈ 10.3 ( to 3 sf )

5 0

2 years ago

How to simplify the problem

inysia [295]

I think you would divide each by 2 and get 1 over 1 which would be 1 squared over 1 (negative) cubed

Hope this helps!

6 0

2 years ago

Read 2 more answers

In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rat

monitta

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

$f(t) = 10000(0.9407)^t$

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

$f(t) = f(0)(1-r)^t$

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that $f(0) = 10000$ , thus:

$f(t) = 10000(1-r)^t$

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

$f(2) = 8850$

We use this to find 1 - r.

$f(t) = 10000(1-r)^t$

$8850 = 10000(1-r)^2$

$(1-r)^2 = \frac{8850}{10000}$

$(1-r)^2 = 0.885$

$\sqrt{(1-r)^2} = \sqrt{0.885}$

$1 - r = 0.9407$

Thus

$f(t) = 10000(1-r)^t$

$f(t) = 10000(0.9407)^t$

7 0

2 years ago

7-x/3=-1-x/8 I'm in 8th grade and I can't figure this out

antiseptic1488 [7]

Answer: x = 38.4

Step-by-step explanation:

7-x/3 = -1-x/8

1. Add 1 to both sides

8-x/3 = -x/8

2. Add x/3 to both sides

8 = x/3 - x/8

3. Multiply x/3 by 8/8 and x/8 by 3/3 to get the same number under the quotient

8 = 8x/24 - 3x/24

4. calculate the difference between 8x/24 - 3x/24

8 = 5x/24

5. Multiply both sides by 24/5, and there is the answer

38.4 = x

7 0

2 years ago