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2 years ago

The number of miles, x, that a cross country athlete can run is represented by the inequality

Mathematics

1 answer:

Lelu [443]2 years ago

8 0

Answer:

That the number of miles is going to be less than 15

Step-by-step explanation:

If you wanted to solve the inequality then the answer would be x<12

Can you please give me brainliest

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Find the values of k so that each remainder is three. 10. (x^2+ 5x + 7) = (x + k)

Goryan [66]

Answer:

$k=1\text{ or } k=4$

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a binomial in the form (x - a), then our remainder will be P(a).

We are dividing:

$(x^2+5x+7)\div(x+k)$

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

$(-k)^2+5(-k)+7=3$

Simplify:

$k^2-5k+7=3$

Solve for k. Subtract 3 from both sides:

$k^2-5k+4=0$

Factor:

$(k-1)(k-4)=0$

Zero Product Property:

$k-1=0\text{ or } k-4=0$

Solve:

$k=1\text{ or } k=4$

So, either of the two expressions:

$(x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)$

Will yield 3 as the remainder.

5 0

3 years ago

You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?

Korvikt [17]

Answer:

3520.176 feet per minute

Step-by-step explanation:

First, we must convert 40 miles per hour (mph) to miles per minute (mpm):

40 mph = 40 miles/hour / 60 minutes/hour = 0.6667 miles per minute

Next, we convert miles per minute to feet per minute by multiplying 5280 ft per mile:

0.6667 mpm = 0.6667 miles/minute * 5280 ft/mile = 3520.176 feet per minute

8 0

2 years ago

Solve the equation 8x-7=y-2 for x if y is 51. make sure to first solve for in terms y. x=?

Crank

X=7. if you need explanation message me

7 0

3 years ago

calculate the annswer when the largest prime number that is a factor of 35 is multiplied by the smallest prime number that is a

lapo4ka [179]

Answer: 155

Step-by-step explanation:

4 0

3 years ago

What is the value of n in 2x3xnxn=54

Snowcat [4.5K]

54/(2X3)=54 divided by 6, =9 square root of 9 is 3

n=3

8 0

2 years ago

Read 2 more answers