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Alex Ar [27]
3 years ago
10

What is the solution set to the equation (3x+4)^2=7

Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Answer:

Check the image below

Step-by-step explanation:

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Write an equation in simplest form that can be used to find the value of x. (Don’t find the value of x)
Mashcka [7]

Answer:

3x=20

Step-by-step explanation:

Perimeter is just all the sides of a shape added. So, x+x+x=20 or, more simply put, 3x=20.

6 0
3 years ago
Solve 1/6 ÷ 6 = ___.
Basile [38]

Answer:

Step-by-step explanation:

0.0277777778

6 0
3 years ago
Read 2 more answers
a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval
il63 [147K]
We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
6 0
3 years ago
There is one critical point for z = x 5y + xy5 + xy. find it and classify it as a local maximum, local minimum, or a saddle poin
I am Lyosha [343]
Dz/dx = 5x^4*y + y^5 + y 
<span>dz/dy = x^5 + 5x*y^4 + x </span>
7 0
3 years ago
What is an equation for the line that passes through (-2,-3) with a slope of -1/2?
Crazy boy [7]

Answer:

C

Step-by-step explanation:

To write the equation of a line use the point slope form of a line substituting m = -1/2 and the point (-2,-3).

y -y_1 = m(x-x_1)\\y --3=-\frac{1}{2}(x--2)\\y+3 = -\frac{1}{2}(x+2)

Convert to standard form by applying the distributive property and rearranging the terms.

y + 3 = -\frac{1}{2}(x+2)\\y+3 = -\frac{1}{2}x -1\\2y + 6 = -x -2\\x+2y + 6 = -2\\x + 2y = -8

The equation x +2y = -8 is the same equation as 4y + 2x = -16 just doubled----> 2x + 4y = -16

8 0
3 years ago
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