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forsale [732]
2 years ago
8

Show all work to factor x4 – 17x2 + 16 completely.

Mathematics
2 answers:
denis23 [38]2 years ago
4 0

Answer:

(x - 4)(x + 4)(x - 1)(x + 1)

Step-by-step explanation:

Given

x^{4} - 17x² + 16

Use the substitution u = x², then

u² - 17u + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)

The factors are - 16 and - 1, then

u² - 17u + 16

= (u - 16)(u - 1) ← replace u by x²

= (x² - 16)(x² - 1) ← both factors are difference of squares

= (x - 4)(x + 4)(x - 1)(x + 1)

Anastaziya [24]2 years ago
3 0

Answer: -18

Step-by-step explanation: x4-17x2+16= -18

i am not completely sure but here. i hope this helps god bless

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its question #2 my son and I cannot figure out how to do this other than dividing. however, when u divide 59 into 422, are you s
anyanavicka [17]
Honestly I can see an argument for 7 shelves or for 8 shelves. 

When you do the calculation; \frac{422}{59}=7.15 You get 7.15 shelves. Clearly you cannot have .15 of a shelf so the logician in me wants to say you need 8 shelves! 

But if the assignment is aimed estimation skills, (Which is what I assume is being implied by the title of the assignment), then the easier calculation of \frac{420}{60}=7 is probably what the teacher was hoping for.

You might have been accidentally been calculating \frac{59}{422} =.139. Remember division is NOT communitive! i.e.1\div2\neq2\div1.

From the image;
The first step was to see that 59 can not go into 4..resulting in the zero above the 4, multiplying 0 by 59 and subtracting 0 from 4. 

The second step begins by bringing down the 2, seeing that 59 can not go into 42..resulting in the zero above the 2, multiplying 0 by 59 and subtracting 0 from 42.

The third step begins by bringing down the 2, seeing that 59 can go into 422 7 times (I tested this on the right by a short multiplication problem)..resulting in the 7 above the 2, multiplying 7 by 59 and subtracting 413 from 42.

This process continues....

8 0
3 years ago
Read 2 more answers
What is the solution set of the equation?
mihalych1998 [28]
It would be 12 (B)
thats i beleive the answer

4 0
2 years ago
Can someone help me pls!!!
Cerrena [4.2K]

Answer:

First one: Function

Second one: not a function (a function cannot have two outputs)

Third one: Function

Last one: Not a function (doesn't pass vertical line test)

Step-by-step explanation:

Hope it helps!

6 0
2 years ago
Read 2 more answers
Two rectangular prisms have a combined volume of 432 cubic feet. Prism A has half the volume of Prism B.
dexar [7]

Answer:

a. 144 cubic foot

b. 12 ft

c. 18 ft

Step-by-step explanation:

Let the volume of prism A be V_a

and that of prism b be V_b

ATQ,   V_a  +  V_b= 432

also V_a= 0.5 V_b

⇒1.5 V_b= 432

= V_b= 432/1.5= 288 cubic feet

therefore V_a= 144  cubic feet

volume of prism= area of base×height = V_a

24×h = 144

⇒h= 12 ft

A_b= 2/3×24

⇒base area of prism B= 16 sq.ft

now 16×h_b= 288⇒h_b= 288/16= 18 ft

3 0
3 years ago
Read 2 more answers
Westley and Buttercup are each saving money. Westley starts with $85 in in his savings and add $5 per week (y=85+5x)
love history [14]

Answer:

After 5 weeks.

Step-by-step explanation:

Westley starts with $85 and saves $5 per week. So:

y=85+5x

Buttercup starts with $10 and saves $20 per week. So:

y=10+20x

When they have the same amount of money, the two equations will be equal to each other. Therefore:

85+5x=10+20x

Solve for x. Subtract 10 from both sides:

75+5x=20x

Subtract 5x from both sides:

75=15x

Divide both sides by 15:

x=5

Westley and Buttercup will have the same amount of money after 5 weeks.

5 0
2 years ago
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