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Paul [167]
1 year ago
13

An entomologist can model the number of mosquitos in a forest as a function of

Mathematics
1 answer:
Irina-Kira [14]1 year ago
6 0

The interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2

<h3>How to interpret the points of intersection?</h3>

The graph of the two functions alongside their equations are the given parameters of this question

The functions are given as:

f(x) = 5x - x^2

g(x) = 3x - 0.5x^2

When the graphs of two curves or lines intersect on a coordinate plane, it means that the point of intersection represents where the graphs have equal value

In this case, it represents

f(x) = g(x)

Substitute the known values in the above equation

5x - x^2 = 3x - 0.5x^2

So, the interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2

Read more about point of intersection at

brainly.com/question/11337174

#SPJ1

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Someone help me with this one​
frosja888 [35]

Answer:

2/3

Step-by-step explanation:

20% = 12

48

1/6 = 8

left = 40

40/60 = 4/6

4/6 = 2/3

3 0
3 years ago
Read 2 more answers
Giving brainliest :)
Verizon [17]

Answer:

f^{-1}(x)=x^2+1

Step-by-step explanation:

The inverse of a function is when the x and y are swapped. So the first step is to write f(x) as y and then swap the x and y

Original Equation:

f(x)=\sqrt{x-1}\\

write f(x) as y (since that's what it represents)

y=\sqrt{x-1}

Swap x and y

x=\sqrt{y-1}

Square both sides

x^2=y-1

Add 1 to both sides

x^2+1=y

So this gives you the equation:

f^{-1}(x)=x^2+1

8 0
2 years ago
What is the balance after 7 years if you deposit $2800 in an account that pays 4% interest compounded yearly ?
SVEN [57.7K]

Answer:the balance after 7 years is $3216

Step-by-step explanation:

A) Initial amount deposited into the account is $2800 This means that the principal,

P = 2800

It was compounded yearly. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

It was compounded for 7 years. So

t = 7

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 2800(1 + 0.04/2)^ 1× 7

A = 2800(1 + 0.02)^7

A = 2800(1.02)^7

A = $3216

6 0
3 years ago
The score on a trivia game is obtained by subtracting the number of incorrect answer from twice the number of correct answer. If
brilliants [131]

Answer:

The player answer correctly 30 questions

Step-by-step explanation:

First we have to develop the information that gives us as 2 equations

x = correct answer

y = incorrect answer

z = score = 40

h = total answer = 50

2x - y = z               x + y = h

2x - y = 40             x + y = 50

we clear the x of one equation and replace the value of x in the other equation

x = 50 - y

2x - y = 40

2(50 - y) - y = 40

100 - 2y - y = 40

-3y = 40 -100

y = -60/-3

y = 20

x = 50 - y

x = 50 - 20

x = 30

3 0
3 years ago
A B C D and F are questions about the picture please help!!
Lyrx [107]
I'm going to separate this into sections so it makes more sense for you to read. For the problems with π where you have to round, ask your teacher where to round, unless your textbook specifies it:

A – 100 cm^2

To calculate area of squares, you multiply l • w. It's a square, so all sides are equal, and since we know that one side = 10 cm, the area is 10 • 10 = 100

B – πr^2         (not sure if the r shows up very well, so I'm retyping it in words - pi • radius squared)

C – 25π cm^2 or an approximate round like 78.54 cm^2 (ask your teacher about this – it could be to the nearest tenth, hundredth, etc.)

To find the area of a circle, you must follow the formula πr^2. In this case, the diameter is 10. The radius is half the diameter, so to substitute the values you must find 10 ÷ 2 = 5. So the radius is 5 cm. From there you can substitute r for 5, ending up with π • 5^2.    5^2 = 25, so the area is 25π, or about 78.54, depending on where the question wants you to round.

D – An approximate round (to the nearest hundredth it is 21.46 cm^2)

To find the area of the shaded region, just subtract the circle's area from the square's area, or 100 – 25π ≈ 21.46. Again, though, ask your teacher about where to round, unless your textbook specifies it.

E – dπ      (diameter • pi)

F – 10π cm^2 or an approximate round like 31.42 cm^2

The diameter is 10. 10π ≈ 31.42

Hope this helps!
5 0
2 years ago
Read 2 more answers
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