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4 years ago

Explain the difference between f and f(x).

1 answer:

3 0

F is a function. It takes inputs and then produces an output. The notation f(x) is saying more specifically that the function is taking an input x and producing the output f(x). For example, if you look at f(x)=x2, you can think that f is the "squaring function", with input x and outputs x2. You can think that "f" is like the name of the function. f1(x)=x2 f2(x)=6x+3 Above, you know which function I'm talking about if I say f2. But often, people will just call it as the function f2(x)

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Ned borrowed 95% of the value of his house. If the value of the house is $150,000, how many dollars did Ned borrow?

Basile [38]

Answer: $142,500

Step-by-step explanation:

From the question, we are informed that Ned borrowed 95% of the value of his house and that the value of the house is $150,000,

The amount that Ned borrowed will be:

= 95% × $150,000

= 95/100 × $150,000

= 0.95 × $150,000

= $142,500

Ned borrowed $142500

5 0

3 years ago

What is the square root of 36? A) 3 B) 6 C) 12 D) 18

ryzh [129]

Answer:hehfhevfhebfhf

Step-by-step explanation:

Bdheugbeidge

5 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu. The table below represents the function f, and the following graph represent

Lorico [155]

<h3>Answers:</h3>

The functions f and g have same axis of symmetry

The y intercept of f is greater than the y intercept of g.

Over the interval [-6,-3], the average rate of change of f is less than the average rate of change of g.

===========================================

Explanation:

Check out the diagram below.

Using the table, plot each (x,y) point onto the same xy grid the blue parabola is graphed on. This way we can compare the two graphs. I'll show these points in red. The red parabola passing through them represents all of f(x) assuming it is continuous.

When we have f(x) and g(x) plotted together, we see that they have the same axis of symmetry. Points D = (-3,-10) and K = (-3,7) have the same x coordinate. The axis of symmetry for each is x = -3.

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Furthermore, the graph shows that the y intercept of f is above the y intercept of g. Look where the graphs cross the y axis. So The y intercept of f is greater than the y intercept of g

We could note that from the table, the y intercept of f is (0,8) as the y intercept always happens when x = 0.

-------------

Last part is the average rate of change (AROC)

AROC is the same as the slope of the line through the endpoints mentioned. The interval [-6, -3] means we go from x = -6 to x = -3. Those x values determine the endpoints.

For f(x), this means we find the slope of the line through (-6,8) and (-3,-10). Use the slope formula to get

m = (y2-y1)/(x2-x1)

m = (-10-8)/(-3-(-6))

m = (-10-8)/(-3+6)

m = -18/3

m = -6 ... negative slope goes downhill as we move from left to right

The AROC for f, on the mentioned interval, is -6

The AROC for g is done in a similar manner. We use the two points J = (-6,-2) and L = (-3,7) as the diagram shows. The slope of line JL is

m = (y2-y1)/(x2-x1)

m = (7-(-2))/(-3-(-6))

m = (7+2)/(-3+6)

m = 9/3

m = 3 ... positive slope goes uphill as we move from left to right

We get a different AROC here. More specifically, this is a larger AROC compared to what we got for f. So the AROC for f is smaller than the AROC for g.

7 0

3 years ago

Plz help me ill mark u brainliest

Ulleksa [173]

Answer:

c5=20

Step-by-step explanation:

in order to find the cost of one smoothie, you must multiply the cost by the amount of smoothies. when solved, the cost of one smoothie is $4

6 0

4 years ago

Which situation below is representative of y-intercept? A) putting $300 a month into savings B) buying $30 worth of supplies for

hammer [34]

Answer:

a) putting $300 a month into savings

5 0

4 years ago