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2 years ago

How to find a polynomial function with given zeros.

Mathematics

1 answer:

Finger [1]2 years ago

7 0

First of all,

let the two zeroes be 2 and 3.

Now,

Sum of the zeros = 2 + 3 = 5

Product of the zeros = 2 × 3 = 6

Hence, the polynomial formed is,

= x² – (sum of zeros)x + Product of zeros

= x² – 5x + 6

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What is 284,028 in word form?

Gelneren [198K]

Two hundred eighty-four thousand, twenty-eight.

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3 years ago

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Use the data consisting of IQ score and brain volume

ArbitrLikvidat [17]

Answer:

The best predicted IQ score is 103.

Step-by-step explanation:

We are given the following regression equation:

$y=100.2+0.00297x$

where y is the predicted IQ score and x is the brain volume.

y is the dependent variable and x is the independent variable.

Significance level = 0.05

We have to find the best predicted IQ score with a brain volume of 998 cubic cm.

We put x = 998 in the equation.

$y=100.2+0.00297(998)\\y=103.16406\\y\approx 103$

Thus, the best predicted IQ score is 103.

8 0

3 years ago

Paha777 [63]

33,155.22 is the correct answer for this

4 0

3 years ago

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Barrett works at an ice cream shop. The function f(x) represents the amount of money in dollars Barrett earns per gallon of ice

Paha777 [63]

Answer:

$f(g(x))=6x^3} +4$

Step-by-step explanation:

Given:

$f(x)=2x^2+4\\\\g(x)=\sqrt{3x^3}$

Required:

f(g(x))=?

Solution:

let f(g(x))=f(X), where X=g(x)

so $f(X)=2X^2+4$

put X= $g(x)=\sqrt{3x^3}$ , we get

$f(g(x))=2(\sqrt{3x^3} )^2+4$

$f(g(x))=2(\sqrt{3x^3} )^2+4\\\\f(g(x))=2({3x^3} )+4\\\\f(g(x))=6x^3} +4$

5 0

3 years ago

Whats the measure of angle E ?

Sindrei [870]

Answer:

57degrees

Step-by-step explanation:

The triangle is an isosceles triangle, hence m<D = m<E (base angles are equal)

Taking the sum of the angles and equating to 180

5x-4 + 4x+1 + 4x+1 = 180

5x+4x+4x-4+1+1 = 180

13x - 2 = 180

13x = 180 + 2

13x = 182

x =182/13

x = 14

Get m<E

m<E = 4x+ 1

m<E = 4(14)+ 1

m<E = 56+1

m<E = 57degrees

Hence the measure of m<E is 57degrees

6 0

3 years ago