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Debora [2.8K]
3 years ago
9

Leslie weighs her marbles in a jar and the scale read 474 grams the empty jar weighs 439 grams each mar able weighs 5 grams how

many mar able are in the jar
Mathematics
1 answer:
Illusion [34]3 years ago
3 0
474 - 439 = 35
35 / 5 = 7

7 marbles
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Is the binomial a factor of the polynomial function?
olchik [2.2K]

Answer:

YES

NO

NO

Step-by-step explanation:

The given polynomial is: $ f(x) =  x^3 + 4x^2 - 25x - 100 $

(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.

To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.

∴ f(5) = 5³ + 4(5)² - 25(5) - 100

        = 125 + 100 - 125 - 100

        = 225 - 225

        = 0

We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.

Now, to check (x + 2) is a factor.

i.e., to check x = - 2 satisfies f(x) or not.

f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100

      = -8 + 16 + 50 - 100

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Therefore, (x  + 2) is not a factor of f(x).

To check (x - 4) is a factor.

∴ f(4) = 4³ + 4(4)² - 25(4) - 100

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        = 128 - 200

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Therefore, (x - 4) is not a factor of f(x).

7 0
3 years ago
Suppose the circumference of a circle is 3 pi. What is the diameter?
Charra [1.4K]
This was asked already
c=pid or
c=2pir

use first one
c=3pi
3pi=c=pid
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divide by pi
3=d
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Answer:

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There were 700 people in the auditorium. 60% of them were adults and the rest were children. how many adults were in the auditor
ollegr [7]

.60 \times 700 = 420 \\ 700 - 420 = 280
First I found the number of adults by multiplying .60 by 700. It was 420. From there all I had to do was subtract it from 700. Revealing the number of children to be 280.
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3 years ago
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