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3 years ago

How many solutions does the following equation have?

1 answer:

7 0

Answer:
Exactly one solution

Explanation:
The first step we need to take to find the answer is to find the value of y.

7(y+3)=5y+8
Expand the parentheses
7y+21=5y+8
Subtract both sides by 21
7y+21-21=5y+8-21
7y=5y-13
Subtract both sides by 5y
7y-5y=5y-13-5y
2y=-13
Divide both sides by 2
2y/2=-13/2
y=-6.5

Now, we plug y back into the original equation.

7(y+3)=5y+8
7(-6.5+3)=5(-6.5)+8
Expand the parentheses
-45.5+21=-32.5+8
-24.5=-24.5

Because both sides of the equation is equal and the equation is true, we can conclude that the equation has one solution.

I hope this helps!

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A pitcher of fruit punch holes 2 gallons of nine people share the entire pitcher equally how much punch does each person get?

Katen [24]

Well, first you must divide the amount of gallons by the amount of people.
2/9 = 2/9 gallons which would be about 3.5 cups.

(Personally I would do 2/9 cups)

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3 years ago

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?

scoundrel [369]

we have

$f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3$

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

$x=\frac{p}{q}$

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

in this problem

the constant term is equal to $3$

and the first monomial is equal to $15x^{11}$ -----> coefficient is $15$

possible values of p are $1, and\ 3$

possible values of q are $1, 3, 5, and\ 15$

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-) $\frac{1}{15}$ ,(+/-) $\frac{1}{5}$ ,(+/-) $\frac{1}{3}$ ,(+/-) $\frac{3}{5}$ ,(+/-) $1$ ,(+/-) $3$

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3 years ago

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If you can get 4 bottles of fruit juice for 10 dollars how much would 1 bottle cost

olga_2 [115]

Each bottle would cost $2.50 :)

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3 years ago

A bowling leagues mean score is 197 with a standard deviation of 12. The scores are normally distributed. What is the probabilit

Bond [772]

Answer:

0.281 = 28.1% probability a given player averaged less than 190.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A bowling leagues mean score is 197 with a standard deviation of 12.

This means that $\mu = 197, \sigma = 12$