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3 years ago

Points (-21, ) and (-7, y) have a slope of 5. Find the y coordinate of the point.

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

5 0

Answer:

girl bye you forgot the y coordinate in the first pair sorry lollll

Step-by-step explanation:

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The graph of y=x^2 was transformed to Y= -(x+3)^2 +5. Describe all transformations applied to the original function and determin

mina [271]

Hey there!

1. The graph was flipped vertically and now opens downward.

We know this because there is a negative sign in front of the equation:

$y=$ $\boxed-$ $(x+3)^2+5$

2. The graph was moved 3 units to the left.

We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.

$y=-(x\boxed{+3})^2+5$

3. The graph was moved 5 units up.

We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.

$y=-(x+3)^2\boxed{+5}$

Hope this helps!

3 0

3 years ago

A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

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3 years ago

HELP PLEASE I WILL MARK YOU BRAINLIEST Jermias buys 6.5 pounds of ground beef at the grocery store. Ground beef costs $5.50 for

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Answer: $35.75

Step-by-step explanation: 6.5x5.5=35.75

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M thanks for th help

tangare [24]

Step-by-step explanation:

here's the answer to your question

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