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3 years ago

8

Functions f(x) and g(x) are shown below:

1 answer:

hoa [83]3 years ago

6 0

f(x) is a multiple of the cosine function. g(x) is a multiple of the sine function. Both the cosine function and the sine function have a maximum value of 1, so the magnitude of the multiple will determine which function has the largest maximum value.

The multiple for f is 2; the multiple for g is 3, which is greater than 2. Hence g(x) has a larger maximum value than f(x).

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How does y=mx+c work

kolbaska11 [484]

Ok so, y = mx + c is the equation of a line
When a graph is written in this form, m is the slope/gradient and c is the y - intercept.
This form is needed when a question asks for the equation.
Lets say they give 2 sets of coordinates, we can use the point slope formula to find the slope (m)

point slope formula:
(y₂ - y₁) = m(x₂ - x₁)

Then we substitute any of the two set of coordinates to find c, the y - intercept.

So the line has a gradient of m and y - intercept of c

8 0

3 years ago

Given the functions:<br> g(n) = 3n - 5<br> f(n) = n2 + 50<br> Find:<br> (g+f)(8)

puteri [66]

Answer:

$(g + f)(8) =133$

Step-by-step explanation:

Given

$g(n) = 3n - 5$

$f(n) = n^2 + 50$

Required

$(g + f)(8)$

This is calculated as:

$(g + f)(n) =g(n) + f(n)$

So, we have:

$(g + f)(n) =3n - 5 + n^2 +50$

$Substitute$ 8 for n

$(g + f)(8) =3*8 - 5 + 8^2 +50$

$(g + f)(8) =24 - 5 + 64 +50$

$(g + f)(8) =133$

7 0

3 years ago

You got a job selling books at the mall. You are paid $70 per day plus $2 for each book you sell. Which recursive formula models

lina2011 [118]

Answer:

f(x) = 70 + 2x

Step-by-step explanation:

In this problem, we first need to consider how much we get per day.

$70 is our constant.

$2 will be dependent on the number of books sold.

Here 'x' will represent the number of books sold.

f(x) = 70 + 2x

Now let's try it out.

Let's say we sold 0 books

f(0) = 70 + 2(0) = 70

This shows us that we only get our constant pay.

Now let's try for 1 or more books.

f(1) = 70 + 2(1) = 72

f(2) = 70 + 2(2) = 74

So the recursive formula f(x) = 70 + 2x is a good formula to model the situation.

7 0

4 years ago

Read 2 more answers

What is the answer?ppphsusudhdhd

nevsk [136]

6x+3+5x+1=180
x=16
(5*16)+1=81
1=81

6 0

4 years ago

If the scale of the map is 1 inch = 125 miles, two points that are 3.75 inches apart will actually be approximately how many mil

lys-0071 [83]

Answer:

469 miles

Step-by-step explanation:

1 in = 125 miles

3.75 in =?

3.75 x 125 = 468.75 miles

468.75 rounds up to 469 miles

3 0

3 years ago