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2 years ago

The product of 4, and a number increased by 8, is -48

Mathematics

1 answer:

german2 years ago

8 0

Answer:

4n + 8 = -48

n = -14

Step-by-step explanation:

Using key words from the problem, you can set up an equation with the proper operations to solve for the variable. Product = multiplication, so the 'product of 4 and a number' = 4n. Increased = addition, so increased by 8 = 4n + 8. The word 'is' means equal to, so:

4n + 8 = -48

In order to solve for 'n', you use inverse (opposite) operations and whatever you do to one side of the equation, you do to the other:

Subtract 8: 4n + 8 - 8 = -48 - 8 or 4n = -56

Divide 4: 4n/4 = -56/4

Solve for 'n': n = -14

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Which is not an equation of the line going through (6, 7) and (2, –1)?

garri49 [273]

Answer - D.

you basically find the equation of the line first and eliminate the wrong answers...

Strategy: before u do any of this, label your coordinates as (X1,Y1) and (X2,Y2) and u can choose any of ur points to be as x1 or x2 or y1 or y1...
basically, I'll choose (6,7) as (x1,y1) and (2,-1) as (x2,y2). SO,

First you have to find the gradient (m) of the line.
you do this by using the formula m = Y2-Y1 / X2-X1 (where '/' is division sign) ....
Put the numbers in their respective places and your gradient will be 2x. we put the x after our number to represent it as a gradient as the straight line formula is y = mx+c and you've found the m.
NOW.
use the formula Y-Y1=m(x-x1) to find the equation of the line.Again u can use any Y1 and X1 here but remember your m is 2

replace the digits and solve...Hopefully you'll get sth like this if you use the points (6,7):
Y-7 = 2(x-6) ....
y=2x-12+7...
Y=2x-5! <<<< this is your straight line equation!
Now all u gotta do is rearrange all your options into y = mx+c.
D. is incorrect as it gives us y=2x+5 and not y = 2x-5 unlike the others

Hope you get it!

7 0

2 years ago

5x - 3y = 24////standard form to slope intercept form

zhenek [66]

Answer:

y =5/3x - 8

Step-by-step explanation:

5x - 3y = 24

-3y = -5x + 24

y = 5/3x - 8

7 0

2 years ago

Which is not a like term in the expression 7x +3 - 4 x-x

777dan777 [17]

Answer:

3 is not a like term because it isn't an x term, it doesn't have an x variable while the other terms do.

7 0

2 years ago

To teach computer programming to employees, many firms use on the job training. A human resources administrator wishes to review

tatiyna

Answer:

The z-score for the trainee is of 2.

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.

The mean of the test scores is 72 with a standard deviation of 5.

This means that $\mu = 72, \sigma = 5$

Find the z-score for a trainee, given a score of 82.

This is Z when X = 82. So

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

$Z = \frac{82 - 72}{5}$

$Z = 2$

The z-score for the trainee is of 2.

3 0

2 years ago

Solve for K<br><br> k/2+1/2=3

alexira [117]

Answer:k=5

Step-by-step explanation:

K/2+1/2=3

K/2=3-1/2

K/2=5/2

K=10/2

K=5

6 0

2 years ago