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aalyn [17]
3 years ago
6

What is the equation of a line passing through (-3,7) and having a slope of -1/5?

Mathematics
1 answer:
g100num [7]3 years ago
4 0
We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.

We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b

To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.

7 = (-1/5)(-3) + b
7 = 0.6 + b
6.4 = b
b = 6 2/5

So, the y-intercept will be at 6 2/5.
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Add and Subtract Rational Expressions with a Common Denominator
Sladkaya [172]

Answer:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}

Step-by-step explanation:

<u>Simplifying Rational Expressions</u>

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}

Operating on the numerators:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}

Removing parentheses:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}

Simplifying:

\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}

The expression cannot be further simplified.

7 0
3 years ago
Marla’s School has 1,030 students. Kim’s school has 3 times as many students as Sandi’s School. Write an equation to find the nu
DENIUS [597]

Answer:

3090

Step-by-step explanation:

times 1,030 to 3.

6 0
3 years ago
Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.
vichka [17]

Answer:

  y = 18.25

Step-by-step explanation:

The 2-point form of the equation of a line can be used to write the equation of the line through the given points.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-2 -7)/(3 -(-1))(x -(-1)) +7

  y = -9/4(x +1) +7

For x = -6 this evaluates to ...

  y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7

  y = 18 1/4

6 0
3 years ago
Mrs. Lobo earns a salary of $50,000 per year plus a 4% commission on her sales. The average price of a share
dem82 [27]

Answer:

a) 50,000 + 2x > 70,000

Step-by-step explanation:

Mrs. Lobo has an annual salary of $50000 per year plus 4% commission on her sales.

If she makes $y commission from sales, Mrs Lobo total income per year is:

$50000 + $y.

She makes 4% commission on her sales of share with the average price of a share = $50

Average commission from sales = 4% × $50 = 0.04 × 50 = $2

If she sales x shares in a year, her commission would be $2x for the year. Therefore her total income for that year would be:

50000 + 2x

The amount of shares Mrs Lobbo must sell to make an annual income of at

least $70,000 is given by the inequality:

50,000 + 2x > 70,000

8 0
3 years ago
Find the range of the data. scores: 84, 83, 80, 95, 99, 95, 83, 83, 92, 84
In-s [12.5K]
To find the range of these scores, we must take the largest scores and subtract the smallest from it.

The largest score is 99, and the smallest score is 80.

99 - 80 = 19

3 0
3 years ago
Read 2 more answers
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