Perform the indicated operation. (3a2 - 7xy)(3a2 + 7xy)

Mathematics

2 answers:

Naily [24]3 years ago

8 0

(3a² - 7xy)(3a² + 7xy) =

= (3a²)² - (7xy)²

= 9a⁴ - 49x²y²

Use

a² - b² = (a - b)(a + b)

raketka [301]3 years ago

8 0

Answer:

9a^4 - 49x^2y^2.

Step-by-step explanation:

(3a^2 - 7xy)(3a^2 + 7xy)

This is example of the difference of 2 squares:

(a + b)(a - b) = a^2 - b^2, so the answer is:

(3a^2)^2 - (7xy)^2

= 9a^4 - 49x^2y^2.

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ziro4ka [17]

We see it is the y terms squared so it opens left or right

in form
(y-k)^2=4(p)(x-h)
vertex is (h,k)
and p is distance from focus to vertex, also distance from vertex to directix
if p>0, then it opens to the right and dirextix is to the left of vertex
if p<0, then it opens to the left and directix is tothe right of vertex

so
(y-1)^2=4(4)(x-(-3))
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4>0 so dirextix is to left of vertex
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Alex17521 [72]

Answer:

C. unlikely

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A probability is said to be extremely likely if it is 95% or higher, and extremely unlikely if it is 5% or lower. A probabilty higher than 50% and lower than 95% is said to be likely, and higher than 5% and lower than 50% is said to be unlikely.

In this problem, we have that:

$\mu = 0.48, \sigma = 0.18$