MATHEMATICS HIGH SCHOOL

In the function the cost of any number of apples, what is the input or x-value?a. cost
b. the price per pound
c. the number of apples per pound
d. number of apples

Answers

Answer 1
Answer: the input influences the output
the number of merchendice influences the end cost


input is the number of apples

normally it would be
nc=cost where n=number of merchandice bought, and c is the cost per 1 merchandice


answer is D
Answer 2
Answer: is D because it is price per apple

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Xander is taking a 5 question quiz worth 100 points. Each question is worth 20 points. Write an equation in function notation that represents his score for x number of questions answered correctly.

Answers

Add 100 +20 - 5 and the total is the resort

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1f(x) = −1/12 (x − 5)2 + 2
f(x) = 1/12 (x − 5)2 + 2
f(x) = −1/12 (x + 5)2 + 2
f(x) = 1/12 (x + 5)2 + 2

Answers

From the given information, the parabola is a regular parabola facing up with vertex at (-5, 2).
Required equation is (x + 5)^2 = 4p(y - 2)

But 2 + p = 5 => p = 5 - 2 = 3

Therefore, required equation is (x + 5)^2 = 4(3)(y - 2)
(x + 5)^2 = 12(y - 2)
y - 2 = 1/12 (x + 5)^2
y = 1/12 (x + 5)^2 + 2
f(x) = 1/12 (x + 5)^2 + 2

The function f(x) = 4(3)x represents the growth of a dragonfly population every year in a remote swamp. Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year. Which function is correct for Erin's purpose, and what is the new growth rate?

Answers

Answer:

f(x) = 4(1.32)^x  function is correct for Erin's purpose and the new growth rate is 32%

Step-by-step explanation:

Growth rate function: a(1+r)^x--A

where r is the rate of growth

We are given that The functionf(x) = 4(3)^x represents the growth of a dragonfly population every year in a remote swamp.

Now Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year

So, equation becomes: f(x) = 4(3^(1)/(4))^x

f(x) = 4(1.32)^x

Now on comparing with A

1.32=1+r

0.32=r

So, New growth rate = 0.32=32%

Hence f(x) = 4(1.32)^x  function is correct for Erin's purpose and the new growth rate is 32%

There are 12 months a year, and if the growth is to be calculated four times a year, the interval would be every three months.

We use the variable
z as the number of 3 months per year

So,
x = z/4

Substituting, the new growth rate would be:
f(z) = 4(3)^(z/4)

Simplify 4(6 - 2x) - 3(3 - 4x) Simplify the following expression. x 5 x -5 x 2
Evaluate 6 0 + 6 1 + 6 2 18 42 43

Answers

4(6-2x)-3(3-4x)
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15+4x

Original price$125 Markdown 30% retail price

Answers

The answer is $87.50 because you multiply 30% as a decimal, or .3, times 125, or the starting amount.

in sound and harmonics, the frequency of a vibrating string varies inversely to its length. A guitar string 20 inches long vibrates at a frequency of 400 cycles per second. Find the frequency of a 35- inch string.

Answers

20 inches is 400
10 inches is 200
5 iches is 100

So 20+10+5=35
Which means 400+200+100= 700

So the frequency of a 35 inch string is 700 cycles per second
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