Answer:
A. 3x^2+7x^2+2×3x ×7-84x = 3x^2+7x^2-2×3x×7
9x^2+49x^2+42x-84 x= 9x^2+49x^2-42x
9x^2+49x^2-42 = 9x^2+49 x^2-42x
verified
B.
Answer:
The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.
Step-by-step explanation:
The probability of a component passing the test is, P (S) = 0.79.
The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.
Three components are sampled.
Compute the probability of the test result as SFS as follows:
P (SFS) = P (S) × P (F) × P (S)

Compute the probability of the test result as SSF as follows:
P (SSF) = P (S) × P (S) × P (F)

Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.
Answer: 
<u>Step-by-step explanation:</u>
![\ \ \dfrac{3}{4}-x\bigg(\dfrac{1}{2}-\dfrac{5}{8}\bigg)+\bigg(-\dfrac{3}{8}x\bigg)\\\\\\=\dfrac{3}{4}\bigg(\dfrac{2}{2}\bigg)-x\bigg[\dfrac{1}{2}\bigg(\dfrac{4}{4}\bigg)-\dfrac{5}{8}\bigg]+\bigg(-\dfrac{3}{8}x\bigg)\\\\\\=\dfrac{6}{8}-x\bigg(\dfrac{4}{8}-\dfrac{5}{8}\bigg)-\dfrac{3}{8}x\\\\\\=\dfrac{6}{8}-x\bigg(-\dfrac{1}{8}\bigg)-\dfrac{3}{8}x\\\\\\=\dfrac{6}{8}+\dfrac{1}{8}x-\dfrac{3}{8}x\\\\\\=\dfrac{6}{8}-\dfrac{2}{8}x\\\\\\=\dfrac{3}{4}-\dfrac{1}{4}x\quad \text{(reduced both fractions)}](https://tex.z-dn.net/?f=%5C%20%5C%20%5Cdfrac%7B3%7D%7B4%7D-x%5Cbigg%28%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7B5%7D%7B8%7D%5Cbigg%29%2B%5Cbigg%28-%5Cdfrac%7B3%7D%7B8%7Dx%5Cbigg%29%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B4%7D%5Cbigg%28%5Cdfrac%7B2%7D%7B2%7D%5Cbigg%29-x%5Cbigg%5B%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%28%5Cdfrac%7B4%7D%7B4%7D%5Cbigg%29-%5Cdfrac%7B5%7D%7B8%7D%5Cbigg%5D%2B%5Cbigg%28-%5Cdfrac%7B3%7D%7B8%7Dx%5Cbigg%29%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6%7D%7B8%7D-x%5Cbigg%28%5Cdfrac%7B4%7D%7B8%7D-%5Cdfrac%7B5%7D%7B8%7D%5Cbigg%29-%5Cdfrac%7B3%7D%7B8%7Dx%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6%7D%7B8%7D-x%5Cbigg%28-%5Cdfrac%7B1%7D%7B8%7D%5Cbigg%29-%5Cdfrac%7B3%7D%7B8%7Dx%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6%7D%7B8%7D%2B%5Cdfrac%7B1%7D%7B8%7Dx-%5Cdfrac%7B3%7D%7B8%7Dx%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6%7D%7B8%7D-%5Cdfrac%7B2%7D%7B8%7Dx%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B4%7D-%5Cdfrac%7B1%7D%7B4%7Dx%5Cquad%20%5Ctext%7B%28reduced%20both%20fractions%29%7D)
Answer:
$590
Step-by-step explanation:
$2360 divided by 4 is $590.
Answer:
Funny story actually, i actually was making cookies at my house once and i put the cookie dough in the microwave for two minutes which resulted in the plate exploding: that was my mothers plate that she cared about alot. I threw the shattered plate in a garbage bag and i was originally planning on burying it but if i did that then my dog would have found it and ate it but unfortunately enough i disposed of it and my found out about like a month later.
Step-by-step explanation: