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3 years ago

Line m has an equation of y = 3x + 2

Mathematics

1 answer:

agasfer [191]3 years ago

6 0

Answer:

Parallel= 3

Perpendicular= -1/3

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2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

What is the lcd of 1/4 and 2/3

Rudiy27

I hope this will help u It looks like 12 is the smallest number that can be divided by both 3 and 4, so 12 is our LCD. Since 12 is the LCD, it will be the new denominator for our fractions. Now we'll change the numerators of the fractions, just like we changed the denominators. First, let's look at the fraction on the left: 1/4.

6 0

3 years ago

Read 2 more answers

6. When you barter, you must ________ in order to buy something.

Lubov Fominskaja [6]

Answer:

When you barter, you must trade it for something else in order to buy something.

Step-by-step explanation:

8 0

3 years ago

Find the value of x and y

elena55 [62]

Answer:

x=50 and y=20

Step-by-step explanation:

I hope this helped!

3 0

2 years ago

Can you help me pls

makvit [3.9K]

Answer:

true

Step-by-step explanation:

power stored during the day can be released in evening hours when the energy is most needed

5 0

2 years ago