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2 years ago

How do you factor 7b^2-63b+140?

1 answer:

8 0

You can simplify the entire equation by dividing it all by 7, resulting in 7(b^2-6b+20).

Here, you can factor as you normally would. Your X values would have to be found using the quadratic formula.

You might be interested in

Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

5 0

3 years ago

To make the swim team Pedro must swim 400 m in less than seven minutes Pedro where the first 200 minutes in 2.86 minute he swam

MArishka [77]

Answer:

No he didnt make the team

Step-by-step explanation:

2.86 + 3.95= 6.81

so he swam 400 meters in 6min and 81 sec but theirs 60 sec in every min so realy he swam it in 7 min and 21 sec

5 0

2 years ago

PLEASE HELP TIMER!!!!!!!!!!!!!

xz_007 [3.2K]

Answer:

Answer: -3/2

Step-by-step explanation:

#KEEPSAFE

#GOODLUCK

#STUDYWELL

5 0

1 year ago

Help me please show how you got the answer

Lilit [14]

Answer:

Firstly you need to put the equation in form of. y =ax+b

Let us do it

We have

2x-2y=18

-2y=18-2x

-y=(18) /2 - (2x)/2

-y =9-x

Mutiply by - to remove it beside y

Y=-9+x

Which is y=x-9

Slope =a=1

Yintercept=b=-9

3 0

2 years ago

When Riley goes bowling, her scores are normally distributed with a mean of 160 and

e-lub [12.9K]

Answer:

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 160, standard deviation of 13.

Middle 68% of the scores of all the games that Riley bowls.

Within 1 standard deviation of the mean, so:

160 - 13 = 147.

160 + 13 = 173.

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

6 0

2 years ago