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docker41 [41]
4 years ago
13

****40 points and the brainliest. HELP QUICK ******

Mathematics
2 answers:
Flura [38]4 years ago
5 0
Given from the question
Vertex
(h,k) = <span>(500, 15900)
One of the points on the graph
(x,y) = (0,8400)

FIRST PART: Find the quadratic function
We can find the quadratic function by this formula
y = a (x - h)</span>² + k

Input the numbers to the formula, to find the value of a
y = a (x - h)² + k
8400 = a(0 - 500)² + 15900
8400 = a (500)² + 15900
8400 = 250000a + 15900
-250000a = 15900 - 8400
-250000a = 7500
a = 7500/-250000
a = 0.03

Submit a to the formula
y = a (x - h)² + k
y = 0.03 (x - 500)² + 15900
<em>(This is the quadratic function)

</em>SECOND PART: Find the linear function
<em />the total cost = cost each helmet × the number of helmet
y = 26x

SO, THE ANSWER IS OPTION B
Andru [333]4 years ago
5 0

Answer:

edge 2020

Step-by-step explanation:

the system that models the equation is b

they make 600 helmets

it costs 15,600 dollars

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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
STatiana [176]

Answer:

24761 mosquitoes

5.4 days

Step-by-step explanation:

Let the equation that shows the population of the mosquitoes after x days,

A=P(1+r)^x

Where,

P = Initial population,

r = rate of increasing per day,

Here, A = 1000, when x = 0,

1000=P(1+r)^0\implies P = 1000

A = 1900 when x = 1,

1900 = P(1+r)^1\implies 1900 = 1000(1+r)\implies 1.9 = 1 + r\implies r = 0.9

Thus, the required function that represents the population after x days,

A=1900(1+0.9)^x=1900(1.9)^x

If x = 4,

The number of mosquito after 4 days,

A=1900(1.9)^4 = 24760.99\approx 24761

If A = 60,000,

60000 = 1900(1.9)^x

\frac{600}{19}=1.9^x

Taking log both sides,

\log(\frac{600}{19})=x\log 1.9

\implies x = \frac{\log(\frac{600}{19})}{\log 1.9}=5.378\approx 5.4

Thus, there will 60,000 mosquitoes after 5 days.

6 0
3 years ago
1. Is the function linear or nonlinear?
Marrrta [24]

Answer:

non-linear

Step-by-step explanation:

it is nonlinear because if the numbers go up and then down then its not a straight line. therefore its not linear.

4 0
3 years ago
Find the value of x.<br> 5x (x+24)
nlexa [21]

Answer:

5x^2+120x

Step-by-step explanation:

5x(x+24)

Step 1: Use distributive property to expand the expression. Multiply 5x separately  with all the terms inside the bracket.

Step 2: 5x(x) = 5x^2

5x(24) = 120x

Answer: 5x^2+120x

Note: If you need to further solve it, you can factor it.

To Factor;

5x^2+120x

Step 1: Factor out the common: 5x

Step 2: 5x times x = x^2

            5x times 24 = 120x

Therefore,

Factored answer: 5x(x+24)

Hope this helps.

8 0
2 years ago
Read 2 more answers
Find the volume of a sphere that has a surface area of 16π sq. in.
notka56 [123]
<span>Sphere Surface Area = </span><span>4 • <span>π <span>• r²

radius = Sq Root (</span></span></span>Sphere Surface Area / <span>4 • <span>π)

</span></span><span>radius = Sq Root (16 PI / <span>4 • <span>π)

</span></span></span>radius = Sq Root (4)

<span>radius = 2

</span>
Sphere Volume   = <span>  4/3 • <span>π <span>• r³

</span></span></span>Sphere Volume   =   <span>4/3 • <span>π <span>• 8

</span></span></span>Sphere Volume   =   <span> <span> <span> 4.1887902048 </span> </span> </span> * 8

Sphere Volume   =   33.51 cubic inches


6 0
4 years ago
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Find the angle measure of the missing angle for a triangle with angle measures of 37 degrees and 75 degrees.
alina1380 [7]
The answer is 68 degrees

8 0
3 years ago
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