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3 years ago

Factor this x^3 + 27

1 answer:

8 0

(x+3)(x^2-3x+9)

this gets the x^3 while the 3x cancels out and 3*9=27

hope this helps although i didn't explain very well :)

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Can someone please help me with # 2 #13 thanks show work how it's done, please

zavuch27 [327]

Problem 13

10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get

10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q

so we get the original expression again. Here 10 is the GCF of the two terms.

--------------------------------------------------------------

Plug p = 1 and q = 2 into the factored form

10*(p+q) = 10*(1+2) = 10*(3) = 30

As a check, let's plug those p,q values into the original expression

10*p+10*q = 10*1+10*2 = 10+20 = 30

We get the same output of 30

6 0

3 years ago

A random sample of 85 group leaders, supervisors, and similar personnel revealed that a person spent an average 6.5 years on the

strojnjashka [21]

Answer:

95% of confidence interval for the Population

( 6.1386 , 6.8614)

Step-by-step explanation:

Step( i ):-

Given random sample size 'n' =85

Mean of the sample size x⁻ = 6.5 years

Standard deviation of Population = 1.7 years

Level of significance = 0.95 or 0.05

Step(ii):-

95% of confidence interval for the Population is determined by

$(x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} })$

$(6.5 - 1.96\frac{1.7}{\sqrt{85} } , 6.5 + 1.96 \frac{1.7}{\sqrt{85} })$

( 6.5 - 0.3614 , 6.5 + 0.3614 )

( 6.1386 , 6.8614)

Conclusion:-

95% of confidence interval for the Population

( 6.1386 , 6.8614)

8 0

3 years ago

How do I do 2 root 20 - 3 root 5

Komok [63]

2√20=2((√4)(√5)=2((2)(√5)=4√5

now we have
4√5-3√5=1√5=√5

8 0

3 years ago

If a=2, b-3 and c=5. Thr value of 4a-2b+5c are

inn [45]

(4*2)-(2*-3)+(5*5)= 8-6+25= 27

4 0

3 years ago

HELP 10PTS AND BRAINLIESTThe image of a triangle after it has been dilated with a center of dilation at the origin has vertices

Gala2k [10]

Answer:

C is (-18, 24)

Scale factor 1 1/3

A is (9, - 4 1/2) *4 1/2 is also 4.5

Step-by-step explanation:

When we take a look at image B (-24, -12) and pre image B (-18, -9),

we can work out the scale factor by

(-24/-18) and (-12/-9) both equal 4/3

So using the scale factor to go from the pre image to the image,

We can find C coordinate by multiplying pre image C by the scale factor.

C is (-13.5 x 4/3) and (18 x 4/3)

C is (-18, 24)

The scale factor is 4/3, which is the mixed numeral of 1 1/3.

To find the pre image of point A we divide the image by the scale factor

A is (12/(4/3)) and (-6/(4/3))

A is (9, - 4 1/2)

Hope this helps,

Cate

8 0

3 years ago

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