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Leno4ka [110]
2 years ago
9

Why is it useful to write a ratio of fractions as a unit rate

Mathematics
1 answer:
Illusion [34]2 years ago
7 0

A "unit rate" has a denominator of 1. That will often simplify any subsequent math operations.

_____

The choice of the form of a ratio should be made based on what you need to do with it. Sometimes, a denominator other than 1 is appropriate to follow-on operations you may need to perform.

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The binomial x-2 is a factor of the polynomial below. f(x)=x3+x2+nx+10 What is the value of n?
Nutka1998 [239]
<h3>Answer: n = -11</h3>

=========================================================

Explanation:

Since x-2 is a factor of f(x), this means f(2) = 0.

More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

So if we plugged x = 2 into f(x), we'd get

f(x) = x^3+x^2+nx+10

f(2) = 2^3+2^2+n(2)+10

f(2) = 8+4+2n+10

f(2) = 2n+22

Set this equal to 0 and solve for n

2n+22 = 0

2n = -22

n = -22/2

n = -11 is the answer

Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10

Plug x = 2 into that updated f(x) function to find....

f(x) = x^3+x^2-11x+10

f(2) = 2^3+2^2-11(2)+10

f(2) = 8+4-22+10

f(2) = 0

Which confirms our answer.

3 0
3 years ago
Explain how to find the surface area of a 3-D figure
german
Well, for any prism, it is the lateral area + the area of two ends.  
8 0
2 years ago
Solve: -2/5 (1/4 x -4)
Nimfa-mama [501]

Answer:

2/5 is tje correct answer for your question

8 0
2 years ago
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Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same
ELEN [110]
Katework+jeanwork=6
work alone
Katework=-5+Jeanwork
ad 5 to both sides
Katework+5=jeanwork
subsitute 5+katework for jeanwork
5+katework+kateworkwork=6
subtract 5 from both sides
2katework=1
divide both sides by 2
katework=0.5days

equation would be
jeanwork+katework=6 and
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5 0
3 years ago
It’s a test question.
marissa [1.9K]

Answer:

A # is odd

Step-by-step explanation:

Hypothesis-----> conclusion

4 0
3 years ago
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