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1 year ago

Find the vertex of the function h(x) = x2 – 4x – 21

Mathematics

1 answer:

lakkis [162]1 year ago

7 0

Answer: (2, -25)

Step-by-step explanation:

The x coordinate of the vertex is $x=-\frac{-4}{2(1)}=2$ .

When x=2, $h(2)=2^2 - 4(2)-21=-25$ .

So, the vertex is (2, -25).

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A spinner has 10 equally sized sections, 5 of which are gray and 5 of which are blue. The spinner is spun twice. What is the pro

zhenek [66]

Answer:

$P(Gray\ and\ Blue) = \frac{1}{4}$

Step-by-step explanation:

Given

$Sections = 10$

$n(Gray) = 5$

$n(Blue) = 5$

Required

Determine P(Gray and Blue)

Using probability formula;

$P(Gray\ and\ Blue) = P(Gray) * P(Blue)$

Calculating P(Gray)

$P(Gray) = \frac{n(Gray)}{Sections}$

$P(Gray) = \frac{5}{10}$

$P(Gray) = \frac{1}{2}$

Calculating P(Gray)

$P(Blue) = \frac{n(Blue)}{Sections}$

$P(Blue) = \frac{5}{10}$

$P(Blue) = \frac{1}{2}$

Substitute these values on the given formula

$P(Gray\ and\ Blue) = P(Gray) * P(Blue)$

$P(Gray\ and\ Blue) = \frac{1}{2} * \frac{1}{2}$

$P(Gray\ and\ Blue) = \frac{1}{4}$

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3 years ago

What is the equation of a line that is parallel to x - 2y= -4 and passes through the point 0,0

dem82 [27]

The answer is y=1/2x

8 0

3 years ago

How much is point (-24,-12) dilated by to get to (-18,-9)?

Anna [14]

Answer:

Dilation factor = 0.75.

Step-by-step explanation:

One point on the xy-plane is (-24,-12). The transformation is the dilation which is done on the point and the image is given by (-18,-9). Dilation changes the size of the shape according to the dilation factor. If the original x-coordinate is -24, then the image will be calculated by multiplying the original point with the dilation factor. Therefore, -18= -24 * k, where k is the unknown dilation factor. Simply solve the equation for k.

24k = 18.

k = 18/24 = 3/4 = 0.75.

Similarly, 12k = 9. k = 9/12 = 3/4 = 0.75.

So the point (-24,-12) dilated by k=0.75 to get to (-18,-9)!!!

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2 years ago

The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment

aksik [14]

Answer: average y = -8 average y =2

ARC : -4

Step-by-step explanation:

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2 years ago

Pls help ASAP !!

Nutka1998 [239]

Answer:

1. The corresponding sides of the two triangles must be proportional.

Step-by-step explanation:

Option 1, is the only statement that makes GHI = JKL true. If the triangles are congruent, it means that the sides have to be proportional.

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2 years ago