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Brums [2.3K]
3 years ago
7

A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and t

he number of insect larvae (y) in the water: graph of y equals minus 2 times the square of x plus 20 times x plus 400 What does the peak of the graph represent? The number of larvae is greatest at 450 degrees Celsius. The number of larvae is greatest at 5 degrees Celsius. The least number of larvae in the water is 450. The least number of larvae in the water is 5.
Mathematics
2 answers:
zmey [24]3 years ago
7 0

Answer:

The number of larvae is greatest at 5 degrees Celsius.

Tanzania [10]3 years ago
6 0

Answer : The number of larvae is greatest at 5 degrees Celsius.

Given the equation y= -2x^2 + 20x +400

x is the temperature of water in degrees Celsius, and y is the number of insect larvae in the water

Peak of the graph is the vertex

Now we find out the vertex from the given equation

To find x coordinate of vertex we use formula x= \frac{-b}{2a}

a= -2, b= 20

So x= \frac{-20}{2(-2)}

x = \frac{-20}{-4}

x = 5

Now we find out y

Plug in 5 in the place of x

y= -2(5)^2 + 20(5) +400

y= 450

Vertex is (5,450)

It means the number of larvae reaches the maximum of 450 at 5 degree Celsius

Hence , the number of larvae is greatest at 5 degrees Celsius.

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schepotkina [342]
Its 2 times larger
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5 0
3 years ago
Help, answer one that hasn’t been answered
SVEN [57.7K]

4x + 2x = < y

This is because the opposite sides (which is 4x and 2x) of a triangle add up to the exterior angle (<y).

We have to find X.

As you know:

3x + 4x + 2x = 180

because the angles of a triangle add up to 180.

When we add them:

9x = 180

x =  \frac{180}{9}

The 9 is multiplying with the X. We want X only and not 9 with it. So, when we take 9 to the other side, it becomes divide. As a result, the answer to x is:-

x = 20

Substitute value of x into 4x and 2x to find the exterior angle:-

4x:

4(20) = 80

2x:

2(20) = 40

When we add them we get the answer for angle Y:-

80 + 40 = 120

Therefore, we can conclude that:

< y = 120 \: degrees

8 0
3 years ago
How do you solve this problem?
Scorpion4ik [409]
2.25x+8y=100 is the answer to part a
6 0
3 years ago
Pick up rational number from the following numbers : -6/7,0,100/0,5 3/4,0/2,24/1
Dominik [7]

Answer:

All of them

Step-by-step explanation:

A rational number is a number that can be in the form in a/b like 5/4, 8/9

100 can be write as: 1000/10

So all of the number that you list is all RATIONAL NUMBERS

Hope this helped :3

4 0
4 years ago
Please answer this correctly
olga_2 [115]

Answer:

320

Step-by-step explanation:

so finding 80% of 400

move the decimal in 80% over twice to become a whole number

multiply 400 times 80=32,000

move the decimal back twice

which would be 320'

pls mark me brainliest

4 0
4 years ago
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