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3 years ago

Justin saves $8 every week. Which equation represents the amount of money Justin has,y, after x number of week?

1 answer:

3 0

If Justin saves $8 every week, and x represents the number of weeks, this can be set up as 8x. We are trying to find the amount of money Justin has after x weeks, so y = 8x.

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If f(x) = x/2 - 3 and g(x) = 3x^2 + x - 6, find (f+g)(x)

drek231 [11]

$(f+g)(x) = f(x) +g(x)$

$(f+g)(x) = \left(\dfrac{x}{2}-3\right)+\left(3x^2+x-6\right)$

$(f+g)(x) =3x^2 +\dfrac{3x}{2}-9$

5 0

3 years ago

What is the expression in factored form?x^2+13x+14

nydimaria [60]

Answer:

$\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).$

Step-by-step explanation:

To factor the expression $x^2+13x+14$ you need to know its roots.

First find the discriminant of this quadratic polynomial:

$D=13^2-4\cdot 1\cdot 14=169-56=113.$

Then the roots of the expression $x^2+13x+14$ are

$x_{1,2}=\dfrac{-13\pm \sqrt{113}}{2}.$

Now the factored form is

$\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).$

8 0

3 years ago

If 20% of a number is 386, what will be 30% of the same number

pav-90 [236]

if the 20% of a number is 386, what will be 30% of the same number

Answer will be 157

4 0

3 years ago

Read 2 more answers

Professor Liu gave the same quiz to the students in her morning class and in her afternoon class. The average (arithmetic mean)

natka813 [3]

Answer:

Afternoon class has more students.

Step-by-step explanation:

Let m be the number of students in the morning class and n be the number of students in the afternoon class.

The average score for the students in the morning class was 80, then the sum of their scores is $80m.$

The average score for the students in the afternoon class was 86, then the sum of their scores is $86n.$

The sum of the scores of both classes is

$80m+86n$

and the average score is

$\dfrac{80m+86n}{m+n}$

The average (arithmetic mean) score for the two classes combined was 84, then

$\dfrac{80m+86n}{m+n}=84\\ \\ 80m+86n=84m+84n\\ \\86n-84n=84m-80m\\ \\2n=4m\\ \\n=2m$

This means n is greater, so afternoon class has more students.

7 0

3 years ago

Shawna reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12

AfilCa [17]

Answer:

Step-by-step explanation:

Original Ratio = New Ratio All these problems are done the same way. Try to conquer the language.

The original ratio = 24 inches wide / 12 inches tall

Shawna's new ratio = you don't know / 2 inches in height (or tall)

Call what you don't know = x

24/12 = x / 2 Cross multiply

12 * x = 24 * 2 Combine the right

12 * x = 48 Divide by 12

12x/12 = 48/12

x = 4

So the new height is 4 inches.

5 0

3 years ago