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kari74 [83]
3 years ago
6

A scientist is performing a study on mosquitoes. She collects water with mosquito larvae and places it in an enclosed container

in her lab. The scientist uses data from the study to create the function, M(t)=-3t^2+57t-144, where t is the number of days in the study.
Part A: Which equivalent form of M(t) reveals when the mosquitoes first appeared in the container and when there were no more mosquitoes in the container?

Part B: How long were there mosquitoes in the container?
Please show the work love yaa.
Mathematics
1 answer:
frez [133]3 years ago
4 0

Answer:

M(t) = -3 (t - 16) (t - 3)

Step-by-step explanation: Assuming you are working on the practice book - section 5: quadratic equations and functions than this is the correct answer to your question. Although there is another question below the on you have asked on in the actual textbook so if you need help on that just ask me in the comments below.

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Solve for p: 8 = p over 7 please help!!!
frez [133]

Answer: p= 56

8 = p/7

This means to make p by itself, you have to multiple both sides by 7 to cancel out the 7. On the left side, it’d be 8 times 7, which is 56. On the right side, the 7 cancels out and isolates p.

4 0
2 years ago
You have $25 to spend on picking 21 pounds of three different types of apples in an orchard. The Empire apples cost $1.40 a
Semmy [17]

Answer:

5 pounds of the Empire apples, 14 pounds of the Red Delicious apples, and 2 pounds of the Golden Delicious apples.

Step-by-step explanation:

Let's call the Empire apples weight at E, the Red Delicious at R, and the Golden Delicious at G. We know that the total weight must be 21 pounds so:

R + E + G = 21 (<em>equation 1</em>)

The total amount of spent must be $25, and the price given is per pound, so the priced paid is the cost multiplied by the weight:

1.40*E + 1.10*R + 1.30*G = 25 (<em>equation 2</em>)

And the weight of the Red Delicious must be equal to twice of the combined weight of the others:

R = 2*(E + G)

E + G = R/2 (<em>equation 3</em>)

Let's substitute equation 3 in equation 1

R + R/2 = 21

(2R + R)/2 = 21

3R = 42

R = 14 pounds.

So, E + G = 7

G = 7 - E (<em>equation 4</em>)

Let's substitute the result of R and the equation 4 in the equation 2:

1.40*E + 1.10*14 + 1.30*(7 - E) = 25

1.40E + 15.40 + 9.10 - 1.30E = 25

0.10E = 25 - 24.50

0.10E = 0.50

E = 5 pounds

G = 7 - E

G = 7 - 5

G = 2 pounds.

3 0
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Math help !! :o <br> will reward<br> written response questions :3
Hitman42 [59]

In the picture with the triangles Phillip is correct because  the triangle does not give the measurements of the same side so there is no proof of any sides to be the same. With the other picture what I did was I reversed the translation which got the points A (-2,1) B (-5,3) Then I reversed the rotation which got me A(2,-1) and B (5,-3). So line AB endpoints would be located A (2,-1) and B (5,-3).

Hope this helps!

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Black_prince [1.1K]

Answer:

sqrt(5)*sqrt(5)=5.

Step-by-step explanation:


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Answer:

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