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Gekata [30.6K]
2 years ago
12

G(x) = 3x + 2 f (x) = x^3 + x^2 - 2x Find (g + f )(4)

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
3 0

Answer:

4x^3+4x^2+4x+8

Step-by-step explanation: find (g+f)(4)

g(x)=3x+2

f(x)=x^3+x^2-2x

______________________

(4)*(3x+2+x^3+x^2-2x)

(4)(x^3+x^2+x+2)

4x^3+4x^2+4x+8

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Inside a square with side length 10, two congruent equilateral triangles are drawn such that they share one side and each has on
Sphinxa [80]

Answer:

5 length

Step-by-step explanation:

The diagram attached shows two equilateral triangles ABC & CDE. Since both squares share  one side of the square  BDFH of length 10, then their lengths will be 5 each. To obtain the largest square inscribed inside the original square BDFH, it makes sense to draw two other equilateral triangles AGH & EFG at the upper part of BDFH with length equal to 5.

So, the largest square that can be inscribe in the space outside the two equilateral triangles ABC & CDE and within BDFH is the square ACEG.

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3 years ago
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
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2 years ago
Help me with this please ​
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A) 10s=2m

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