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3 years ago

If h(x) = -3x + 1 and h(x) = -20, solve for x.

Mathematics

1 answer:

liraira [26]3 years ago

6 0

Answer:

x=7

Step-by-step explanation:

-20=-3x+1

-21=-3x

x=7

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Which number is NOT in the solution set of the inequality x > −15?

Anettt [7]

Answer: D).-20

Step-by-step explanation:

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3 years ago

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Write an equation of the parabola in vertex form.

Katena32 [7]

Answer:

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. ... When written in "vertex form": • (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

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3 years ago

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Help with this please

Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

$JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}$

$KL=\frac{1-4}{3-1}=\frac{-3}{2}$

$LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}$

$JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}$

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

$\frac{2}{3}\times \frac{-3}{2}=-1$

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

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3 years ago

Is (8,8) a solution to the equation y=x?

Nookie1986 [14]

Answer:

Yes

Step-by-step explanation:

(8,8) is a solution is y=x.

If we substitute the point into the equation, the equation is true.

(8,8) is in (x,y) format

Substitute:

y=x

8=8

LS=RS (left side equal rights side)

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3 years ago

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A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

Crank

Answer: 1.25

Step-by-step explanation:

Given: A college-entrance exam is designed so that scores are normally distributed with a mean $(\mu)$ = 500 and a standard deviation $(\sigma)$ = 100.

A z-score measures how many standard deviations a given measurement deviates from the mean.

Let Y be a random variable that denotes the scores in the exam.

Formula for z-score = $\dfrac{Y-\mu}{\sigma}$

Z-score = $\dfrac{625-500}{100}$

⇒ Z-score = $\dfrac{125}{100}$

⇒Z-score =1.25

Therefore , the required z-score = 1.25

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3 years ago