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3 years ago

Write the quadratic function in vertex form. y=-3x^2+24x-50

Mathematics

1 answer:

castortr0y [4]3 years ago

4 0

Answer:

Step-by-step explanation:

y = -3x² + 24x - 50

factor out leading coefficient

y = -3(x² - 8x) - 50

complete the square

coefficient of the x term: -8

divide it in half: -4

square it: (-4)² = 4²

use 4² to complete the square and keep the equation balanced:

y = -3(x² - 8x + 4²) + 3(4²) - 50

y = -3(x-4)² - 2

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Ann ran 7 miles on Monday, 6 miles yesterday, and 8 miles today. If she runs an unknown number of miles tomorrow, how many miles

Airida [17]

Answer:

21+m m=miles on the unknown day amount

Step-by-step explanation:

It depends if its about the patterns

You could put a number such as five or nine so I just put up the equation to it

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3 years ago

PLEASE HELP!!

tankabanditka [31]

Answer:

A and D

Step-by-step explanation:

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3 years ago

a fish tank is shaped like a rectangular prism. it has a length of 5 ft., a width of 2 ft., and a height of 3 ft. what is the vo

coldgirl [10]

Answer:

V (volume) = 30

Step-by-step explanation:

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4 0

3 years ago

Suppose the sediment density (g/cm3 ) of a randomly selected specimen from a certain region is known to have a mean of 2.80 and

Irina18 [472]

Answer:

0.918 is the probability that the sample average sediment density is at most 3.00

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2.80

Standard Deviation, σ = 0.85

Sample size,n = 35

We are given that the distribution of sediment density is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.85}{\sqrt{35}} = 0.1437$

P(sample average sediment density is at most 3.00)

$P( x \leq 3.00) = P( z \leq \displaystyle\frac{3.00 - 2.80}{0.1437}) = P(z \leq 1.3917)$

Calculation the value from standard normal z table, we have,

$P(x \leq 3.00) = 0.918$

0.918 is the probability that the sample average sediment density is at most 3.00

4 0

3 years ago

If angle 4 is 52.7, what are the measures of angles 1,2, and 3?

shusha [124]

Answer:

127.3
52.7
127.3
52.7

Step-by-step explanation:

Since we know the angle measure of angle 4, we already know that angle 2 will have the same measure according to do the vertical angle theorem. Now to find angles 1 and 3, we can make an equation and solve for x (supplementary angles).

52.7 + x = 180

x = 127.3

Best of Luck!

6 0

3 years ago