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ikadub [295]
3 years ago
7

What is the rate of change for the function f(x)=2x-3

Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0

Answer:

2

Step-by-step explanation:

f(x) = 2x - 3 is a linear function

The rate of change of a linear function is the measure of the slope.

The equation is in slope- intercept form, that is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 3 has slope m = 2

Thus rate of change = 2

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If $480 is shared in the ratio 4:3:5, the difference between the largest and the smallest share is
Alex17521 [72]

Answer:

80

Step-by-step explanation:

........

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the answer is 80

8 0
2 years ago
Find the range of the function for the given domain. f(x) = 2x - 7 ; {-2, -1, 0, 1, 2}
Studentka2010 [4]

The domain is a discrete set. So we will have a discrete range.

The range is a set containing:

f(-2)=-11

f(-1)=-9

f(0) = -7

f(1) = -5

f(2) = -3

Range = {-11,-9,-7,-5,-3}

7 0
3 years ago
Consider the parent function f(x) = x^2 and the transformed function f(x) =- 5(x - 4)^2 – 8. Identify the
madam [21]

Given:

The parent function is

f(x)=x^2

Consider the transformed function is g(x) instead of f(x) because both functions are different.

g(x)=-5(x-4)^2-8

Step-by-step explanation:

We have,

f(x)=x^2

g(x)=-5(x-4)^2-8

It can be written as

g(x)=-5f(x-4)-8            ...(i)

The translation is defined as

g(x)=kf(x+a)+b                .... (ii)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

If k is negative, then f(x) is reflected across the x-axis to get g(x).

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (i) and (ii), we get

a=-4, f(x) shifts 4 units right.

b=-8, f(x) shifts 8 units down.

k=-5, it is negative so f(x) reflected across the x-axis.

|k|=|-5|=5>1, so f(x) stretched vertically by factor 5.

Therefore, the function f(x) reflected across the x-axis, stretched vertically by factor 5 and shifted 4 units right 8 units down to get g(x).

8 0
3 years ago
Matt gets paid an hourly rate of $12.50 for the first 40 hours he works in a week. After 40 hours , Matt gets paid at an overtim
lukranit [14]

12.50 x 40 = 500; this is his first week pay from $12.50 an hour for 40 hours  

(15 x 55) + 100 = 925; this is the second pay from $15 an hour for 55 hours and an additional $100


Hope this helps! (If not correct me if its wrong xd)

5 0
3 years ago
5/10 plus 2/9 simplified
Genrish500 [490]

5/10+2/9=13/18

=1/2+2/9

=9/18+4/18

=9+4/18

answer: 13/18

7 0
3 years ago
Read 2 more answers
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