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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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Need help asap!! (summer packet)

DiKsa [7]

Part A:

Function A:

Slope = (7-3)/(5-3) = 4/2 = 2

Equation:

y - 3 = 2(x - 3)

y - 3 = 2x - 6

y = 2x - 3

Funcion B:

(0, 3 ) and (-5, 0)

Slope = (3 - 0)/(0 + 5) = 3/5

y-intercept (0,3) so b = 3

Equation:

y = 3/5 x + 3

Function C:

y = 3x + 1

Part B:

Rate of change is the change in y over the change in x (rise/run). It's also the slope

Function A: rate of change = 2

Function B: rate of change = 3/5 (smallest)

Function C: rate of change = 3 (largest)

Order linear functions based on rate of change from least to greatest.

Function B: y = 3/5 x + 3

Function A: y = 2x - 3

Function C: y = 3x + 1

6 0

3 years ago

What are the x and y-intercepts of the line described by the equation? -6x + 3y = 18.9

-BARSIC- [3]

Answer:

x-intercept - x = 1/2y - 3.15

y-intercept - y = 2x + 6.3

Step-by-step explanation:

For x,

-6x + 3y = 18.9

-6x = -3y + 18.9

x = -3y/-6 + 18.9/-6

x = 1/2y - 3.15

For y,

-6x + 3y = 18.9

3y = 6x + 18.9

y = 6x/3 + 18.9/3

y = 2x + 6.3

8 0

3 years ago

How much difference do a couple of weeks make for birth weight? Late-preterm babies are born with 34 to 36 completed weeks of ge

stiks02 [169]

Answer:

a) 0.3277

b) 0.0128

Step-by-step explanation:

We are given the following information in the question:

N(2750, 560).

Mean, μ = 2750

Standard Deviation, σ = 560

We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P (less than 2500 grams)

P(x < 2500)

$P( x < 2500) = P( z < \displaystyle\frac{2500 - 2750}{560}) = P(z < -0.4464)$

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

$P(x < 2500) = P(z < -0.4464) = 0.3277 = 32.77\%$

b) P ((less than 1500 grams)

P(x < 1500)

$P( x < 1500) = P( z < \displaystyle\frac{1500 - 2750}{560}) = P(z < -2.2321)$

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

$P(x < 1500) = P(z < -2.2321) = 0.0128 = 1.28\%$

3 0

3 years ago

PLESE HELP YOU WILL GET ALOT OF POINTS

Vedmedyk [2.9K]

Answer:

It's a (space) lot,... haha na I just kidding,... you're good,... I mean I'm not kidding cause it is correct,... but you are good,... like totally cool,... anyway,...

Step-by-step explanation:

By x the just mean what number,... so,...

what number + 6 = 7,

6 + what number = 7,

2 + what number + 5 = 7,

1 + what number = 7,

what number + 4 + what number = 7,

So that is what it mean,... hope it helps, alot LOL,... and,... Chow

4 0

3 years ago

PLZ HELP ASAP ILL MARK BRAINLIEST!

icang [17]

Polynomial degree : 2

Leading coefficient : 11

7 0

3 years ago

Read 2 more answers