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EleoNora [17]
3 years ago
15

Find the roots of the factored polynomial.

Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0

Answer:

x = {- 4, 4}

Step-by-step explanation:

factored polynomial is: (x–4)(x+4)

Let (x–4)(x+4) = 0

\therefore \: (x - 4)= 0 \: or \: (x+4) = 0 \\  \therefore \:x = 4 \:  \: or \:  \: x =  - 4 \\  \therefore \:x =  \{ - 4, \:  \: 4 \} \\ are \: the \: required \: roots.

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The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, wher
Romashka [77]

Answer:

y = -0.1x^2 + 250 ft

Step-by-step explanation:

Because this quadratic equation would have the curve-down form of:

y = -ax^2 + b

where a and b are positive coefficient.

If we let the peak (250 ft) of the curve be at x = 0. Then

y = -a0^2 + b = 250

b = 250

Also at the begins and ends, thats where y = 0, the 2 points are separated by 100 ft. So let the begin at -50 ft and the end at 50ft. We have

-a(\pm 50)^2 + 250 = 0

-a2500 = -250

a = 250/2500 = 0.1

Therefore, the model quadratic equation of our path would be

y = -0.1x^2 + 250 ft

8 0
3 years ago
Reason is the value of the first 5 ten times as great as the value of the second 5 in 5045?
vovikov84 [41]

It is not. In the decimal system each column to the right is valued at powers of ten starting at zero and increasing as you move to the left...in a four digit number...the columns are valued at...

10^3, 10^2, 10^1, 10^0 which corresponds to...

1000, 1000, 10, 1 in this case the first digit is equal to

5(1000)=5000 the value of the last digit is 5(1)=5

So the first 5 is 1000 times as great as the second 5...

Hope this helps!

4 0
3 years ago
Emily and Zach read a total of 32 books in four months. Emily read 12 books. Which equations
DerKrebs [107]

Answer:

D

Step-by-step explanation:

you take away 12 from the total and you'll find how many Zach read (20) then 12+20=32

4 0
3 years ago
Read 2 more answers
Plz help need to find both answers
saul85 [17]

Answer:

I hope it helped u.

Step-by-step explanation:

7 0
3 years ago
Delta furnishings received an invoice dated may 10 for a shipment of goods received june 21. The invoice was for a $8400.00 less
djyliett [7]

Answer:

The right solution is:

(a) $1,940

(b) $2,813

Step-by-step explanation:

Given:

Invoice amount

= $8,400

Discount 1

= 33.33%

Discount 2

= 12.5%

So,

The net payable amount will be:

= 8400\times  [1 - \frac{100}{300} ]\times [1 - \frac{12.5}{100} ]

= 8400\times \frac{2}{3}\times 0.875

= 4900 ($)

Now,

(a)

Amount paid will be:

= 2000\times 0.97

= 1940 ($)

Balance still to be paid will be:

= 4900-2000

= 2900 ($)

(b)

Amount paid will be:

= (4900- 2000)\times 0.97

= 2900\times 0.97

= 2813 ($)

Balance still to be paid will be:

= 2000 ($)

Thus the above solution is the appropriate one.

6 0
3 years ago
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