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matrenka [14]
3 years ago
9

if someone apply to 5 different colleges and 4 different majors how many different scenarios are there

Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0

Answer:

He can apply for 4 different majors at each college giving

5 * 4 = 20     (if the college permits more than 1 application for a major)

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Gennadij [26K]

Answer:

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3 years ago
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The polynomial f(x) leaves a remainder of - 3 and - 7 when divided by (3x - 1) and (x +1) respectively.
olga55 [171]

Step-by-step explanation:

Here, f(x) is the given polynomial.

By remainder Theorem,

When divided by (3x-1),

f(1/3) = -3........(1)

When divided by (x+1),

f(-1) = -7.........(2)

<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>

Solving,

3x²+2x-1

= 3x²+3x-x-1

=3x(x+1)-(x+1)

=(3x-1)(x+1)

So

f(x) = (3x-1)(x+1)Qx + (ax+b)

For f(-1),

-7 = -a+b

b= a-7

For f(1/3),

-3 = a/3+b

or, -3 = a/3+a-7

or, 4×3 = 4a

or a = 3

Also, b = 3-7 =-4

Hence, remainder is (3x-4)

7 0
3 years ago
A line has a rise of 6 and a slope of 1/20 . What is the run?
Lerok [7]

Answer:

120

Step-by-step explanation:

\text{ Slope }=\frac{\text{ Rise }}{\text{ Run }}.

Plug in the information given:

\frac{1}{20}=\frac{6}{\text{ Run }}.

Now we want to solve this equation for Run.

If you don't like Run as a variable, let's just use x in it's place:

\frac{1}{20}=\frac{6}{x}

Cross multiply:

1(x)=20(6)

Simplify both sides:

x=120

The run is 120.

Let's check our work.

\text{ Slope }=\frac{\text{ Rise }}{\text{ Run }}.

So if our rise is 6 and our run is 120.

Does 6/120 reduce to 1/20?

6 and 120 do have a common factor of 6.

So if you divide top and bottom of 6/120 by 6 you do get 1/20.

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3 years ago
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Mumz [18]

Answer:

He would have to make 8 mini pies

Step-by-step explanation:

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Answer:

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