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Pavel [41]
3 years ago
14

What steps should be followed to solve the inequality -4x < 8.

Mathematics
2 answers:
marishachu [46]3 years ago
8 0

Answer:

The require step to solve the inequality

-4x < 8 is

Divide by -4 on each side and flip the sign.

\therefore x

Step-by-step explanation:

What steps should be followed to solve the inequality

-4x < 8

Solution:

-4x < 8

Divide by -4 on each side and flip the sign.

So the equation becomes

\dfrac{-4x}{-4}> \dfrac{8}{-4}\\ \\

Now minus 4 will get cancel from left and side and in right inside -2 will be there such that (flip the sign)

\dfrac{x}{1}> \dfrac{-2}{1}\\\\\therefore x>-2

MissTica3 years ago
3 0

Answer:

Divide by -4 on each side and flip the sign.

Hope I helped :v

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If c (x) = StartFraction 5 Over x minus 2 EndFraction and d(x) = x + 3, what is the domain of (cd)(x)?
Volgvan

Answer:

The domain of the function (cd)(x) will be all real values of x except x = 2.

Step-by-step explanation:

The two functions are c(x) = \frac{5}{x - 2} and d(x) = x + 3

So, (cd)(x) = (\frac{5}{x - 2})(x + 3) = \frac{5(x + 3)}{x - 2}

Then, for x = 2 the function (cd)(x) will be undefined as zero in the denominator will make the function (cd)(x) undefined.

Therefore, the domain of the function (cd)(x) will be all real values of x except x = 2. (Answer)

8 0
4 years ago
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Kendall had $1000 in a savings account at the beginning of the semester. She has a goal to have at least $350 in the account by
USPshnik [31]

Answer:

11 weeks

Step-by-step explanation:

First we need to check what variables we have.

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Now let's declare a variable as the number of weeks.

Let x  = number of weeks

1000 - 55x = 350

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-55x = -650

Then we divide both sides by -55 to find the value of x.

x = 11.81 or 11 since we're looking for how many weeks in total

Now let's see if we still have 350 if we have a total of 11 as the value of x.

1000 - 55(11) = 350

1000 - 605 = 350

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We can see that Kendall will have $395 compared to the $350 goal.

So Kendall can withdraw $55 a week for 11 weeks to still be within her goal of having $350 in her savings account.

6 0
4 years ago
Car a and b are travelling at 30 and 40 mph. if car b starts out 5 miles behind car 6, how many hours will it take for car b to
Leviafan [203]
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4 0
4 years ago
If the measure of angle AXC =8x-7 and the measure of angle AXB=3x+10 what is the measure of angle AXC?
PSYCHO15rus [73]

Answer:

<AXC = 101 degrees.

Step-by-step explanation:

The question says that XB is a bisector which means that <AXB = 1/2 of AXC

You can't do the question if that assumption isn't true.

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<AXB = 3x + 10

3x + 10 = 1/2 ( 8x - 7)     Multiply both sides by 2

2(3x + 10) = 8x - 7         Remove the brackets

6x + 20 = 8x - 7             Add 7 to both sides

6x + 20 + 7 = 8x            Combine

6x + 27 = 8x                  Subtract 6x from both sides

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27 = 2x                          Switch

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3 0
3 years ago
What is the volume of the cylinder
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The volume of a cylinder is given by

V = A_b\cdot h

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So, the volume is

V = A_b\cdot h = 64\pi \cdot 10 = 640\pi \approx 2010.6193\ldots

8 0
3 years ago
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