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myrzilka [38]
3 years ago
8

Hey guys if i can get some pointers on how to do this that would be great ive been stuck on this problem for over an hour my not

es arent helping me and no one in the household understands it any help would be greatly appreciated.
(a)
Determine the difference of outputs of any two inputs that are 1 unit apart.
Show your work.
(b)
Determine the difference of outputs of any two inputs that are 2 units apart.
Show your work.
(c)
Determine the difference of outputs of any two inputs that
are 3 units apart.
Show your work.
(d)
What do you notice about the ratios of the differences in the outputs to the input intervals? Explain
your answer

Mathematics
1 answer:
leva [86]3 years ago
5 0

Answer:

  • a) 3
  • b) 6
  • c) 9
  • d) the outputs are 3 times as far apart as the inputs

Step-by-step explanation:

(a) "x" in considered to be the input to the function f(x). The variable(s) in parentheses as part of the function name are the inputs. The function value itself is the output.

That is, for an input (x-value) of 0, the output (f(0)) is 5. For an input of 1, the output (f(1)) is 8. These input values (0 and 1) are 1 unit apart: 1 - 0 = 1. The corresponding output values are 3 units apart: 8 - 5 = 3.

(b) Inputs -1 and 1 are 2 units apart (1-(-1)=2). The corresponding output values, 2 and 8, are 6 units apart. (8-2=6)

(c) Inputs 0 and 3 are 3 units apart. The corresponding output values, 5 and 14, are 9 units apart.

(d) The ratio of output differences to input differences can be seen to be ...

... 3/1 = 6/2 = 9/3 = 3

Output differences are 3 times input differences.

_____

<em>Comment on the problem</em>

These ratios are constant everywhere, so the function is considered to be "linear." The ratio is the "slope" of the line you see when the function is graphed.

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Apply the distributive property to the expression 24x + 18y to produce the equivalent expression.
ryzh [129]

Answer:

6(4x+3y)

Step-by-step explanation:

24 and 18 have a HCF of 6, so yeah

6 0
2 years ago
6+n/5=9<br><br> What is happening to the variable? <br><br><br> How do you solve for the variable?
Svetradugi [14.3K]

Answer:

n=15

Step-by-step explanation:

(subtract 6 from both sides of the equation.)

6+n/5=9

6+n/5-6=9-6

(Now you will have to simplify.)

n/5=3

(You will have to multiply all terms by the same value to eliminate fraction denominators.)

n/5=3

5xn/5=5x3

(You will now have to simplify.)

n=15

And that's how you get your answer.

i hope this helps.      :)

7 0
2 years ago
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
k0ka [10]

Answer: quadratic

Constant term -6

Quadratic term -18x^2

Linear term -21x

Step-by-step explanation:

(3x+2)(-6x-3)=-18x^2-21x-6

6 0
2 years ago
The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your
Inessa [10]
"One rotation" would be the circumference of the wheel, which is

C = 2*pi*r, or  (here)  C = 2*pi*(8 inches) = 16*pi inches.

                                                                       1 ft
Convert this to feet:  16*pi inches  times  ---------------
                                                                   12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft            2100 
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft        4
7 0
3 years ago
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
slamgirl [31]

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8.

The complete question is

a) (f + g)(x), (b) (f – g)(x), (c) (f × g)(x), (d) (f / g)(x), (e) (f + g)(7), (f) (f - g)(2), (g) (f.g)(3), (h) (f/g)(27)

<h3>What is a Function ?</h3>

A function is the law that defines the relation between independent and a dependent variable.

It is given that

f(x) = 3x+8

g(x) = 8x-3

(a)  (f + g)(x) = 3x+8 +8x-3 = 11x+5

(b)  (f – g)(x) = 3x+8 -8x+3 = -5x +11

(c) (f × g)(x) = (3x+8)(8x-3) = 24x²-9x+64x -24 = 24x² +55x-24

(d)(f / g)(x) = (3x+8)/(8x-3)

(e) (f + g)(7) = 11*7+5 = 77+5 = 82

(f) (f - g)(2)= -5*2 +11 = 1

(g) (f.g)(3) =24*9 +55*3 -24 = 357

(h)  (f/g)(27) = (3x+8)/(8x-3)  = (3 * 27 +8)/(8*27-3) = 89/213

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8)

To know more about Function

brainly.com/question/12431044

#SPJ1

3 0
1 year ago
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