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3 years ago

Which of the following expressions can you multiply using the FOIL Method? Check all that apply. Please Hurry. 50 points!!

Mathematics

1 answer:

Helen [10]3 years ago

8 0

Answer: the answers are

(x+a)(x-b)

(3x-2)(x+4)

Step-by-step explanation: i took the test and got it right hope this helps!

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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

3 years ago

1.) What is slope and how is it determined from an graph?

Daniel [21]

1) Slope tell about the steepness of the line.

To find slope we look at the rise and run between 2 points.

attached the graph of line with slope

slope = $\frac{change in y values ( rise)}{change in x value (run)}$

= $\frac{2}{1}$

So slope = 2

2) we have x and y intercepts

x intercept is the point where the line crosses x axis

x intercept at x= 3

y intercept is the point where the line crosses y axis

y intercept at y= 6

3) Linear equation is y= 3x+2

function is f(x) = 3x+2

We can graph it using slope and y intercept

In f(x)= 3x + 2 , slope =3 and y intercept = 2

slope = 3, rise = 3 and run =1

The graph of f(x)= 3x+2 is attached below.

8 0

4 years ago

Select the correct answer. What is the simplified form of this expression? 3x + (8x − 16) A. 11x − 16 B. -5x − 16 C. 11x + 16 D.

AysviL [449]

Answer:

a.11x-16

Step-by-step explanation:

3x+(8x-16)you multiply the signs in the bracket

that is 3x+8x-16

=11x-16

4 0

3 years ago

Read 2 more answers

I answered 2. Am I right?

GuDViN [60]

Answer:

Yes, I agree, the score of 2 was an outlier, outside of what is close to everyone else's score

Step-by-step explanation:

6 0

3 years ago

Of the 125 guests invited to a wedding, 104 attended the wedding.What percent of the invited guests attended the wedding?

Ganezh [65]

Divide the number of guest that came by the number of guests invited: 104/125=.832 or 83%. 83% of the invited guests were there :)

6 0

3 years ago