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3 years ago

9. What is the equation of the polynomial whose zeros are -4, and 8?

Mathematics

1 answer:

Margaret [11]3 years ago

8 0

Answer: b.f(x) = (x + 4)(x-8)

Step-by-step explanation:

The formula for finding equation of polynomial given the roots is given by :

f(x) = ( x -α ) (x - β )

where α and β are the roots of the equation

from the given question : α = -4 , β = 8 , substituting into the equation , we have :

f(x) = (x -{-4} ) ( x - 8 )

f (x) = (x +4 ) (x - 8 )

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In order to be invited to tutoring or extension activities a students performance 20 point higher or lower than average for the

GalinKa [24]

Answer:

Step-by-step explanation:For the student to be considered for the tutoring or extension activities, his/her score must be 20 points lower or higher than the average.

The average is given as 105, that means:

Minimum score to be considered = 105 - 20 = 85

Maximum score to be considered = 105 + 20 = 125

If p represents the performance of a student, then this inequality will be represented as follows:

85 ≤ p ≤125

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3 years ago

6. Nuni Lal borrowed RS. 2400 as a Loan for 5 years at

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3 years ago

Read 2 more answers

The average value of a function f over the interval [−1,2] is −4, and the average value of f over the interval [2,7] is 8. What

Anna71 [15]

The average value of a continuous function f(x) over an interval [a, b] is

$\displaystyle f_{\mathrm{ave}[a,b]} = \frac1{b-a}\int_a^b f(x)\,dx$

We're given that

$\displaystyle f_{\rm ave[-1,2]} = \frac13 \int_{-1}^2 f(x) \, dx = -4$

$\displaystyle f_{\rm ave[2,7]} = \frac15 \int_2^7 f(x) \, dx = 8$

and we want to determine

$\displaystyle f_{\rm ave[-1,7]} = \frac18 \int_{-1}^7 f(x) \, dx$

By the additive property of definite integration, we have

$\displaystyle \int_{-1}^7 f(x) \, dx = \int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx$

so it follows that

$\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(\int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx\right)$

$\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(3\times(-4) + 5\times8\right)$

$\displaystyle f_{\rm ave[-1,7]} = \boxed{\frac72}$

7 0

2 years ago

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge . She notices th

Anuta_ua [19.1K]

Answer:

Volume of the gigantic fridge is 2.5 times the volume of regular fridge.

Step-by-step explanation:

This question is incomplete; here is the complete question.

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.

How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?

Area of the base, Height, Price

Regular Fridge: 1m² / 2m / $200

Large Fridge: 2m² / $\frac{5}{2}$ m / $600

In this question cost of the large fridge is 3 times as much as the regular fridge.

Area of the base of regular fridge = 1m²

Height of the regular fridge = 2m

So volume of this fridge = 1×2 = 2m³

Area of the base of the large fridge = 2m²

Height of the large fridge = $\frac{5}{2}$ m

Volume of the large fridge = $\frac{5\times 2}{2}$ = 5m³

Ratio of the volumes of the large and regular fridge = $\frac{5}{2}=2.5:1$

Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.

3 0

3 years ago

I have 72 truffles in 8 days how many days will it take to get 99 truffles

ikadub [295]

It is 9 truffles each day so eleven days

8 0

4 years ago