MATHEMATICS
HIGH SCHOOL

y = 3x + 10

y = -3x - 2

y = - 1/3 x + 10/3

Answer:

Answer:

y = -3x - 2

Step-by-step explanation:

Parallel lines have the same slope. The only answer choice with the same slope (x-coefficient = -3) as the given line is the one shown above.

MIDDLE SCHOOL

What is the middle term in the simplified product?

(x + 3)(x – 4)

The middle term is -x

Answer:

- x

Step-by-step explanation:

If we expand the product.

Each term in the second factor is multiplied by each term in the first factor

x(x - 4) + 3(x - 4) ← distribute both parenthesis

= x² - 4x + 3x - 12 ← collect like terms

= x² - x - 12

The middle term of the product is - x

HIGH SCHOOL

What number should be added to 95 to get a sum of 73

95 + x = 73

95 + -22 = 73

x= -22

The answer is -22.

95 + -22 = 73

x= -22

The answer is -22.

COLLEGE

Describe the vertical asymptotes) and hole(s) for the graph of y=x+2/x^2+8x+15

Answer:

- vertical asymptotes at x ∈ {-3, -5}
- no holes

We assume you intend your equation to be ...

... y = (x +2)/(x² +8x +15) = (x +2)/((x +3)(x +5))

This equation defines y everywhere except at x=-3 and x=-5, where there are vertical asymptotes. Because y is defined everywhere else, there are no holes.

_____

Comment on holes

A "hole" generally occurs when there is a numerator factor that cancels a denominator factor. Though the function has a removable discontinuity at that point, it is undefined where the (canceled) denominator factor is zero.

The answer is asymptotes: x=-5, x=-3 and no holes

MIDDLE SCHOOL

If 1/10 of the movies at a video rental store are children's movies and 2/3of those movies are animated, what portion of the movies at the video rental store are animated children's movies?

of the movies at the video rental store are animated children's movies.

Step-by-step explanation:

Given,

Fraction of children's movies at the rental store =

Fraction of animated movies = of children's movies

Fraction of animated movies =

Fraction of animated movies =

of the movies at the video rental store are animated children's movies.

Keywords: fraction, multiplication

Learn more about fractions at:

- brainly.com/question/12954015
- brainly.com/question/12985407

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