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Svet_ta [14]
3 years ago
5

What value of x is in the solution set of 4x – 12 5 16 + 8x?

Mathematics
1 answer:
TEA [102]3 years ago
8 0

Answer:

4x-12= 16 +8x

And we can subtract 4x in both sides and we got:

-12 = 16 +4x

Now we can subtract in both sides 16 and we got:

-28 = 4x

And if we divide both sides by 4 we got:

x = -7

And the best solution would be:

-7

Step-by-step explanation:

For this case we assume the following equation:

4x-12= 16 +8x

And we can subtract 4x in both sides and we got:

-12 = 16 +4x

Now we can subtract in both sides 16 and we got:

-28 = 4x

And if we divide both sides by 4 we got:

x = -7

And the best solution would be:

-7

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Miles per gallon of a vehicle is a random variable with a uniform distribution from 25 to 35. The probability that a random vehi
Vlad [161]

Answer:

0.9 = 90%

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula.

P(c \leq X \leq d) = \frac{d - c}{b-a}

Miles per gallon of a vehicle is a random variable with a uniform distribution from 25 to 35.

This means that a = 25, b = 35

The probability that a random vehicle gets between 25 and 34 miles per gallon is:

P(25 \leq X \leq 34) = \frac{34 - 25}{35 - 25} = 0.9

So the answer is 0.9 = 90%

4 0
3 years ago
Convert 25/8 into a mixed number
motikmotik
Changing improper fractions to mixed form or mixed numbers is a very simple thing. You just have to follow the following:
Then write Let us have 25/8. <span><span>
1.       </span><span>Divide the numerator (top number)  by the denominator (number below the bar). </span></span> Simply divide 25 by 8. 25 ÷ 8 = n
We can have 3 and 1 as a remainder. So, the answer will be 3 and 1/8. <span><span>

2.       </span> <span>Write down the whole number answer. 
Since we have 3 as the whole number answer, write it down. And;</span></span> <span><span>

3.       </span><span> Write down any remainder above the denominator, like this:</span></span> 3 and 1 (remainder) over 8 (denominator of the given improper fraction). That is, 3 1/8  


3 0
4 years ago
How did the growth of the United states threaten Spain's hold on Texas ​
lilavasa [31]

Answer:

the western  boundary included the rio grande river

Step-by-step explanation:

go back in the secion 3 video it explains it

5 0
4 years ago
Read 2 more answers
What is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)?
lubasha [3.4K]

y = -(2/3)x - 3

To completely find the equation of the line, we have to find b, or the y-intercept. This is where the line intersects the y-axis, or the vertical axis.

<h2>To find b, we can substitute y and x with (-3, -1) because we know that this is a point which is satisfied by the equation of the line.</h2><h2 /><h3>y = -(2/3)x + b</h3><h3>Substitute (x, y) with (-3, -1)</h3><h3>x --> -3</h3><h3>y --> -1</h3><h3 /><h3>-1 = -(2/3)(-3) + b</h3><h3>-1 = 2 + b</h3><h3>b = -3</h3><h3 /><h3>y = -(2/3)x - 3</h3><h3 /><h2>Check our work. Just plug in the value of (-3, -1), and see if it works!</h2><h2 /><h3>-1 = -(2/3)(-3) - 3</h3><h3>-1 = 2 - 3</h3><h3>-1 = -1</h3><h3 /><h3>It works!</h3>
8 0
3 years ago
Write a polynomial function in standard form given the zeros.<br><br> -1/2, -5 + i
Rama09 [41]

Answer:

y = x³ + 10.5x² + 31x + 13

Step-by-step explanation:

Complex roots (roots that have imaginary terms) always come in conjugate pairs.  So if one root is -5 + i, there's another root that's -5 − i.

So the polynomial is:

y = (x + 1/2) (x − (-5 + i)) (x − (-5 − i))

Distributing:

y = (x + 1/2) (x² − (-5 + i)x − (-5 − i)x + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 5x − ix + 5x + ix + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 10x + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 10x + 25 + 5i − 5i − i²)

y = (x + 1/2) (x² + 10x + 25 + 1)

y = (x + 1/2) (x² + 10x + 26)

y = x(x² + 10x + 26) + 1/2(x² + 10x + 26)

y = x³ + 10x² + 26x + 1/2x² + 5x + 13

y = x³ + 10.5x² + 31x + 13

8 0
3 years ago
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