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Leno4ka [110]
3 years ago
10

What value of x is in the solution set of 3(x-4)≥6x+2​

Mathematics
1 answer:
Sophie [7]3 years ago
5 0

Answer:

 x <= - 4 2/3

Step-by-step explanation:

3(x-4) ≥ 6x+2​

Distributive property

3x - 12 ≥ 6x+2​

-12 ≥ 3x + 2

re-write

3x + 2 <= -12

3x <= -14

 x <= -14/3

 x <= - 4 2/3

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Choose the single logarithmic expression that is equivalent to the one shown.
Lena [83]

Answer:

C. log2 3/2.

Step-by-step explanation:

When you are adding two logs with the same base, you multiply.

So, log2 6 + log2 2 = log2 6 * 2 = log2 12

When you subtract two logs with the same base, you divide.

So, log2 12 - log2 8 = log2 12 / 8 = log2 3/2

The answer is C. log2 3/2.

Hope this helps!!

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3 years ago
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(X^3)^3 = x^n <br> Solve for n
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3 years ago
Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt
ioda

Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)

If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.

On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.

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8 0
2 years ago
URGENT...
MatroZZZ [7]
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To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.

Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.


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8 0
3 years ago
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Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 99 people
sertanlavr [38]

Answer:

The probability of getting someone in the 18-21 age bracket or someone who agreed to respond = 0.365

Step-by-step explanation:

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Age Group  No of people contacted No of refusals      Total  

18-21               88                                  8                       96

22-29              240                                  42                       282

Total              328                                  50                       378

 

The probability of getting some one in the age bracket of 18-21 or some one who refused to respond is

= \frac{96}{378} + \frac{50}{378} - \frac{8}{378} \\= \frac{96+50-8}{378} \\= \frac{138}{378} \\= 0.365

8 0
3 years ago
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