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3 years ago

Help! Stuck on this one!

Mathematics

1 answer:

gtnhenbr [62]3 years ago

4 0

so we know that each m&m weighs about 2g.

the next line says to write a direct variation equation.

(definition: mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other)

we then make the equation ( w=xm), then we use that equation to figure out the next line, which is to find the amount of m&ms that would fit in a bag of 1000.

(my head cant really process part a cause of a recent headache, so sorry if its wrong)

the answer to part b would be 500, which you can provide evidence based off of your part a equation.

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Which geographic feature did the Penobscot Indians build their things to live around

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Answer

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3 years ago

Write a polynomial function, p(x) with degree 3 that has p(7)=0

MArishka [77]

Answer:

$p (x) = x^{3} - 21x^{2}+ 147x - 343$

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

$(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}$

Take a = x

b = 7

Substitute in the identity we get

$(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343$

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

$p (x) = x^{3} - 21x^{2}+ 147x - 343$

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3 years ago

Please help will give brainliest. Links will be banned

AlexFokin [52]

Answer:

I believe it is C.

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2 years ago

A pump fills 25 of a tank in 23 hour. At this rate, how much of the tank will the pump fill in an hour?

Sophie [7]

60% or 3/5 of the tank will be filled in an hour.

The pump will fill 2/5 of the tank in 2/3 hours.

In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.

2/5 of tank : 2/3 hours

x of tank : 1 hour

Cross multiply to get:

2/3x = 2/5

x = 2/5 ÷ 2/3

x = 2/5 x 3/2

= 0.6 of the tank

= 60%

= 3/5 of tank

In conclusion, 60% of the tank will be filled in an hour.

Find out more at brainly.com/question/14336804.

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2 years ago

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