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2 years ago

A student factors a6 - 64 to (a2 - 4)(a4 + 4a2 + 16).Which statement about (a2 − 4)(a4 + 4a2 + 16) is correct?

Mathematics

1 answer:

IrinaK [193]2 years ago

4 0

Answer:

Option (b) is correct.

The expression is equivalent, but the term is not completely factored.

Step-by-step explanation:

Given : a student factors to

We have to choose the correct statement about from the given options.

Given is factored to

Consider

Using algebraic identity,

comparing and b = 4, we have,

Thus, the factorization is equivalent but we can simplify it further also, as

Using algebraic identity,

Thus,

Can be written as

Thus, the expression is equivalent, but the term is not completely factored.

Option (b) is correct.

You might be interested in

Select three ratios that are equivalent to 7: 6.

scZoUnD [109]

Answer:

ratio number 1- 14:12

ratio number 2- 21:18

ratio number 3- 28:24

5 0

3 years ago

When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times sl

NARA [144]

Answer:

Race completed in 48 minutes.

Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard

Then the equation will be

12(3x)+(1/3)x(t-12)=xt

$36x+\frac{xt}{3}-4x=xt$

$x(36+\frac{t}{3}-4)=xt$

$36+\frac{t}{3}-4=t$

$32=t-\frac{t}{3}$

$\frac{2t}{3}=32$

$t=\frac{(32)3}{2}=48$

So 48 minutes it took to complete the race.

4 0

3 years ago

Read 2 more answers

I cannot figure this out. Anyone?<br><br> 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

ryzh [129]

Is there any choices for it

5 0

3 years ago

Find the product of (5.2*10^-6) and (8*10^3)

Maru [420]

Answer:

8000.0000052

Step-by-step explanation:

(5.2*10^-6)=0.0000052

(8*10^3)=8000

3 0

3 years ago

1A technical magazine stated that the mean retail cost of all models of a particular laptop was $600. A random sample of 10 stor

My name is Ann [436]

Answer:

Yes

Step-by-step explanation:

Given,

Population mean Z = 600

Sample mean, µ = 586.50

Size of the sample, n = 10

Standard deviation, σ = 26.77

The testing hypothesis is,

Null hypothesis = µ<600

Alternative hypothesis = µ≥600

The test statistics is the calculated value of Z,

(Z- µ)/(σ/√n)

= (600-586.50)/(26.77/√10)

= (13.5*3.1623)/26.77

= 42.691/26.77

= 1.5947

And at 5% level of significance, the table value of Z = 1.644

Here, calculated Z<Table value of Z, so we accept the null hypothesis.

So, the null hypothesis is accepted. The mean value of the laptop is less than 600.

3 0

3 years ago