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miv72 [106K]
4 years ago
13

Factor the expression completely.

Mathematics
1 answer:
densk [106]4 years ago
3 0

Answer:

\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}

Step-by-step explanation:

      A = 18x^{2}  - 32\\

Find the sharing components:

<=> A=2*9*x^{2} - 2*16

Apply the inverse of associative property:

<=> A = 2(9x^{2} - 16)

Identify two square components inside the parenthesis:

<=> A = 2((3x)^{2} - 4^{2} )

Factorize:

<=> A = 2(3x + 4)(3x - 4)

=> Option D is correct

Hope this helps!

:)

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c) In the figure alongside, PQ = PR, PS QR, write down therelation between QS and SR, and angleQPS and angleRPS.​
bazaltina [42]

Answer:

QS=SR ( being PS median of triangle PQR,psㅗQR)

<QPS=<SPR (Median PS bisects the angle P)

HOPE THIS WILL HELP YOU...!

4 0
3 years ago
Wire electrical-discharge machining (WEDM) is a process used to manufacture conductive hard metal components. It uses a continuo
algol13

Answer:

a. no, there are no sufficient data to use

b. assumption b is right

Step-by-step explanation:

a. for the standard deviation to be calculated at 99% confidence, the data needed should be the mean (given), the variate value to be calculated for(not given), the standard deviation(not given), the z value of the normal distribution ( not given),

since there are too many unknown, the data given are not sufficient to calculate.

b. validity of this interval requires that coating layer thickness be at least approximately normally distributed.

6 0
4 years ago
Number 4 and 5. The topic is sample spaces. I just don’t understand and know how to solve. If u can help please do!!
Colt1911 [192]

Ok so the P means probability and on the first one c is 1 of 3 of the total number of of letters in the spinner, and so is g

What that means is that they both have 1/3 probable chance of getting picked or 33.3% but it is most likely asking for a fraction so use 1/3

For 5 it’s more difficult

What you have to do is find the probability of heads and tails

Which is 1/2

D is 1/3

And the vowels are A and E which is 2/3

So you would multiply all the fractions and your answer would be ( work; 1/2 x 1/3 x2/3=) 1/18

5 0
3 years ago
Parabola with zeros at 4 and -8
adoni [48]
F(x) = x^2 + 4x - 32

You can get this by starting with the expressions (x-4) and (x+8) as both will give you the indicated zeroes. Then you can multiply them together. 
4 0
3 years ago
.3333 is considered a rational number. What makes this number rational? Explain your reasoning.​
jeka57 [31]
It’s a rational number when you round it to any place value, if you don’t round, it’s not rational.

Rational numbers are fractions and decimals that don’t go on and on forever, and no fractions that are over 0.

Since .3333 doesn’t go on forever, it’s rational.

It’s rounded to the Ten Thousandths.

Examples:
Rational: 4/5 .35 6/8
Not Rational: .3333333 (forever) 4/0 6/0 .555555 (forever).

Hope this helps :)
7 0
4 years ago
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