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2 years ago

What is the vertex of the quadratic function f(x) = (x-8)(x - 2)?

Mathematics

1 answer:

Sergio [31]2 years ago

8 0

Answer:

The vertex is (5, -9).

Step-by-step explanation:

One way of approaching this problem consists of finding the roots. Seet the quadratic equal to zero and solve for x: {2, 8}.

The axis of symmetry is exactly halfway between 2 and 8: x = 5.

Now find the y-component of the vertex by evaluating f(5):

f(5) = (5 - 8)(5 - 2) = -9

The vertex is (5, -9). This is the minimum value of the function. The graph of this quadratic opens up.

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translate the following sentence into an equation. the sum of twice a number x and 13 is two less than three times x

sergiy2304 [10]

I’m pretty sure the equation would be

2x + 13 < 3x - 2

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3 years ago

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Afina-wow [57]

The scale factor from the small one to the big one is 3

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3 years ago

What is the probability of rolling a die and it landing on a number less than 3?

snow_tiger [21]

Answer:

2/6 (33.33%)

Step-by-step explanation:

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3 years ago

Read 2 more answers

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi

anyanavicka [17]

Question:

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?

Answer:

The height of the cone is $9 \ cm$

Explanation:

It is given that the radius of the cone is $3 \ cm$

The volume of the cone is $27\pi$

The height of the cone can be determine using the formula,

$V=\frac{1}{3} \pi r^{2} h$

Substituting the values $V=27 \pi$ and $r=3$ , we get,

$27 \pi=\frac{1}{3} \pi(3)^{2} h$

Multiplying both sides by 3, we have,

$81 \pi= 9\pi h$

Dividing both sides by $9 \pi$ , we have,

$9=h$

Thus, the height of the cone is $9 \ cm$

4 0

3 years ago

Please help!!!!!!!!!

Natali [406]

Answer: $432

Step-by-step explanation: If he marks up the price by 80% then you multiply the price (240) times 0.8, which is 192. That is how much he marks it up -- $192. SO then you add how much he marks it up to the original price of $242 which is $432.

6 0

3 years ago