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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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Michael is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%, what is the sale
Anna35 [415]

Answer      

Find out the  what is the sale price of the jeans including tax .

To prove

Let us assume that the sale price of the jeans including tax be x .

As given

Michael is buying a pair of jeans that regularly cost $40.

They are on sale for 20% off.

If the tax rate is 8% .

20% is written in the decimal form

= \frac{20}{100}

= 0.20

8% is written in the decimal form

= \frac{8}{100}

= 0.08

Than the equation becomes

x = 40 - 40 × 0.20 + 40 × 0.08

x = 40 - 8 + 3.2

x = 43.2 - 8

x = $35.2

Therefore the sale price of the jeans including tax be $ 35.2 .



4 0
3 years ago
Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of
VashaNatasha [74]

Answer:

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Step-by-step explanation:

Sample information:

Size     n = 100

mean   x = 28,5

Population information

μ₀  =  30

Standard deviation  σ   = 8

Test Hypothesis

Null Hypothesis          H₀                x =  μ₀

Alternative Hypothesis   Hₐ           x <  μ₀

We assume CI = 95 %   then α = 5 %    α = 0,05

As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery

A z(c) for 0,05 from z-table is:  z(c) = - 1,64

z(s) = ( x - μ₀ ) / σ/√n

z(s) = ( 28,5 - 30 ) / 8/√100

z(s) = - 1,5 * 10 / 8

z(s) =  - 1,875

Comparing z(s)  and z(c)

|z(s)| < |z(c)|        1,875  > 1,64

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

3 0
3 years ago
Multiply the polynomial <br><br> (4d-3)(-2d+1)
Nutka1998 [239]
If this an it my bad Gee

8 0
2 years ago
Mary Grace has 3 more Jolly Ranchers than Isabella. If Isabella has 10 Jolly Ranchers, how many do they have total?
PilotLPTM [1.2K]

Answer:23

Step-by-step explanation:

10+3=13 so that means that mary has 13 and isabella has 10

Then if you add 13+10=23

so they have 23 jolly ranchers in all.

5 0
2 years ago
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Taya2010 [7]

Answer:

Larceny is a specific intent crime against possession not ownership. Exceptions that exculpate (reasonable or unreasonable): Claim of Right, ...

Step-by-step explanation:

Robbery, like theft, involves taking someone's property without the owner's consent, but it has some elements that theft doesn't require. Robbery

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