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Dimas [21]
3 years ago
10

Solve the following equation: x^3 -168 = [24(x-2)] / 2 PLEASE REPLY ASAP

Mathematics
1 answer:
Nataly_w [17]3 years ago
7 0
Hi Larry

x^3 - 168 = [ 24(x-2)] / 2
x^3 - 168 = (24x - 48)/2
x^3 - 168 = 12x - 24
Subtract 12x - 24 to both sides
x^3 - 168 - (12x - 24) = 12xx - 24 - (12x - 24)
x^3 - 12x - 144 = 0
Now, factor the left sides
(x - 6)(x^2 + 6x + 24) = 0
Set factors equal to 0
x - 6 = 0 or x^2 + 6x + 24 = 0
x = 0 + 6 or x^2 + 6x + 24 - 0
x = 6
Answer : X = 6

Good luck !
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3(x + 4) = 27 what is x
Alla [95]

Answer:

x = 5

Step-by-step explanation:

This is a simple equation if you look at it right and don't get scared by the "x."

All we need to do is figure out what times 3 = 27. We can do this easily by diving 27 by 3.

27 ÷ 3 = 9

Since our "equation" is 3(x + 4) = 27 we know whatever is in the parenthesis () has to equal to 9. We already get 4 so:

5 + 4 = 9.

3 times 9 = 27.

5 is your answer.

<u>Hope this helps and have a nice day!</u>

PS if you could mark brainliest that'd be great! I'm very close the "expert" rank. Haha, sorry I usually don't ask.

6 0
3 years ago
1. What is the slope of the line represented by<br> tha sanation 3y = 4x - 12?**
BabaBlast [244]

Answer:

4/3

Step-by-step explanation:

3y=4x-12

divide by 3 to isolate y

y=4/3x-4

slope is 4/3

4 0
3 years ago
Is the answer a, b, c, or d.
ale4655 [162]
The correct answer is d.

We have the following system of linear equations:

(I) 4x+7y=-14
(II) 8x+5y=8

Let's use the elimination method, then let's multiply the equation (1) \times(-2) and subtracting (I) and (II):

(I) -2(4x+7y)=-2(-14)
∴ -8x-14y=28

(I) -8x-14y=28
(II) 8x+5y=8
____________________
(III)  -9y=36

∴  y=-4

We can find the value of x by substituting y either in (I) or (II). Thus, from (I):

4x+7(-4)=-14
∴ 4x-28=-14
∴ 4x=14
∴ x=\frac{14}{4}
∴ \boxed{x=\frac{7}{2}}

Let's substitute the values of x and y into (I) and (2)

(I) 4(\frac{7}{2})+7(-4)=14-28=-14
(II) 8(\frac{7}{2})+5(-4)=28-20=8

Finally the answer is:

\boxed{x=\frac{7}{2} \rightarrow x= 3 \frac{1}{2}}

4 0
3 years ago
What is 75 2/5% in decimal
krok68 [10]

Answer:

.754

Step-by-step explanation:

Percentage is based off of 1 or 100% which is equal to 1. So 50% or half of both 100% and 1 would be translated as .5 and as the percentage becomes more accurate or lengthy you add to the decimal so 53% is .53 and 53.4% is .534

7 0
3 years ago
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Describe the transformation f(x) = Vx+ 1 - 5 in words.
ivanzaharov [21]

Answer:

The translation is 1  unit to the left and  5 units down

Step-by-step explanation:

The explanation is given below;

Given that

The transform function is f(x) = \sqrt{x+1} - 5

It can be seen that

The parent function is

f(x) = \sqrt{x}

After that

The parent function would be transform 1 units to the left \sqrt{x+1}

And afterwards it would be transform in 5 units down \sqrt{x+1} - 5

So

The parent function f(x) = \sqrt{x} would be  translate in 1  unit to the left and  5 units down

4 0
3 years ago
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