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irina1246 [14]
4 years ago
12

Simplify completely: the quantity 8 times x to the third power plus 6 times x to the 2nd power minus 4 times x all over negative

2 times x
a.−4x^2 − 3x + 2

b.−4x^2 + 3x + 2

c.4x^4 + 3x^3 − 2x^2

d.4x^2 + 6x^2 − 4x
Mathematics
1 answer:
True [87]4 years ago
7 0
The answer is <span>a.−4x^2 − 3x + 2
</span>
the quantity 8 times x to the third power plus 6 times x to the 2nd power minus 4 times x all over negative 2 times x is: \frac{8 x^{3}+6 x^{2} -4x }{-2x}

\frac{8 x^{3}+6 x^{2} -4x }{-2x} =  -\frac{8 x^{3}+6 x^{2} -4x }{2x}=- \frac{2x*4 x^{2} +2x*3x-2x*2}{2x} =- \frac{2x(4x^{2} +3x-2)}{2x} = \\  \\ =-(4x^{2} +3x-2)=-4x^{2} -3x+2
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The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years a. Write an exponen
Alex Ar [27]
For the answer to the question above,  
<span>V(n) = a * b^n, where V(n) shows the value of boat after n years. 
V(0) = 3500 
V(2) = 2000 

n = 0 
V(0) = a * b^0 = 3500 
a = 3500 

V(2) = a * b^2 
2000 = 3500 * b^2 
b = sqrt (2000/3500) 
b ≈ 0.76 

V(n) = 3500 * 0.76^n 

We can check it for n = 1 which is close to 2500 in the graph: 
V(1) = 3500 * (0.76)^1 
V(1) = 2660 

And in the graph we have V(3) ≈ 1500, 
V(n) = 3500 * (0.76)^3 ≈ 1536 

Now n = 9.5 
V(9.5) = 3500 * (0.76)^(9.5) 
V(9.5) ≈ 258</span>
4 0
4 years ago
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Kamila [148]

Answer:

All fractions contain integers and rational numbers

have a nice day

4 0
3 years ago
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(10-3)x(3-2^5) Use pemdas.
Nat2105 [25]

Answer:

-203

Step-by-step explanation:

(10−3)×(3−2^5 )

Subtract 3 from 10 to get 7.

7(3−2^5 )

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7(3−32)

Subtract 32 from 3 to get −29.

7(−29)

Multiply 7 and −29 to get −203.

−203

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3 years ago
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What is the measure of c?<br> A. 20<br> B. 14<br> C. 16<br> D. 22
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Answer:

A

Step-by-step explanation:

The measurements of the segments fall on similar triangles. This means the lengths of each segment can be found using proportions.

Remember, a proportion is an equation which sets equal ratios equal to each other.

\frac{c}{k}=\frac{a}{j}\\\\\frac{c}{32}= \frac{15}{24}

To solve for c, multiply numerators and denominators across the equal sign:

24c = 32(15)

24c = 480

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5 0
3 years ago
The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in mi
Anton [14]

Answer:

<em>D. 1 – NORM.DIST(100, 75, 10, TRUE)</em>

Step-by-step explanation:

<u>Excel's Normal Distribution</u>

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The normal distribution is a function which integral cannot be expressed in terms of elemental functions. That is why the cumulative probability is usually found in tables, graphs or any digital media like Excel.

The formula NORM.DIST computes the cumulative values for the left tail or P( X < X_o) for a given mean and standard deviation. The parameters are

NORM.DIST (X_o,\mu,\sigma,cumulative)

This last parameter tells the formula we want the cumulative left-tail probability or just the value at Xo. This value must be set to TRUE to compute the probability for a range of values, like in the problem at hand.

Since the formula computes the left-tail of the function, we must take advantage of the symmetry of the distribution if we want to compute right-tail values we just subtract the result from 1.

Thus, the correct formula to calculate the required probability is

D. 1 – NORM.DIST(100, 75, 10, TRUE)

3 0
3 years ago
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