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otez555 [7]
3 years ago
9

Josh mows grass to earn extra money. He charges $25.00 for each lawn. He mows at least 5 yards each week; but not more than 20 y

ards. The function f(x) = 25x models his income. Write the domain of the function as an inequality.
Mathematics
1 answer:
aleksklad [387]3 years ago
3 0

Answer:

Let

x = number of yards mowed

The domain of the function is

 5 ≤  x  ≤ 20

If we multiply the inequality by 25, we get

125  ≤  25*x  ≤ 500

Which is the same as

125  ≤  f(x)  ≤ 500

(Range of the function)

Domain   5 ≤  x  ≤ 20

Range     125  ≤  f(x)  ≤ 500

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I need help with this ASAP PLZ!!!!!!!!
Rina8888 [55]

Answer:

4. y = 2x -6

5. y = -x + 3

6. y = -\frac{1}{3}x - 1

7. m= -4 and b=3

8. m= 1 and b=-7

9. y = 0.08x + 3

10. y= 3x - 19

11. y= -3x + 5

Step-by-step explanation:

Use the equation y = mx + b; where m is the slope and b is the y-intercept

4. given: m = 2 and y-int = -6; plug into equation

y = mx + b

y = 2x -6

5. given: m = -1 and y-int = 3; plug into equation

y = mx + b

y = -x + 3

6. given: m = -1/3 and y-int = -1; plug into equation

y = mx + b

y = -\frac{1}{3}x - 1

7. given: y=-4x+3; slope m and y-intercept b are

m= -4

b=3

8. given: y=x-7; slope m and y-intercept b are

m= 1

b=-7

9.  the monthly of $3 is fixed or starts the month; which is the y-intercept (another way to say is it is at 0 minutes) so b = 3.  Now the rate is $0.08 per minutes and the rate is the same as the slope, m= 0.08

Using equation y=mx+b; substitute

y = 0.08x + 3

10.  Given: (6,-1) and m= 3

use y=mx+b; substitute the y point into equation

-1 = 3x + b; substitue the x point into equation

-1 = 3(6) + b; solve for b

b = -19; now plug back into equation

y = mx + b or y= 3x - 19

11.  Given: (2,-1) and m= -3

use y=mx+b; substitute the y point into equation

-1 = -3x + b; substitue the x point into equation

-1 = -3(2) + b; solve for b

b = 5; now plug back into equation

y = mx + b or y= -3x + 5

8 0
3 years ago
Suppose that circles A and B have a central angle measuring 40°. Additionally, circle A has a radius of 5 2 ft and the radius of
vladimir1956 [14]
It is 9/4π ft².

Since the central angle is 40°, this is 40/360 = 1/9 of the circle.

The area of the circle is given by A=πr²; since r=9/2, we have
A=π(9/2)² = 81/4π

Multiplying this by 1/9,
81/4π(1/9) = 81/36π = 9/4π
4 0
3 years ago
Translation rotation reflection
Akimi4 [234]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Jane and her friend Maria both invest in the stock market. The probability that Jane makes money in a given week is .6. The prob
tatiyna

Answer:

.8

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the probability that Jane makes money in a given week is .6 and  the probability that Jane and Maria both make money in a given week is .48. Then the probability that Maria makes money in a given week...

Let the probability that Jane makes money in a given week be p(j) and that Maria makes money in a week be p(m) then

p(j) = .6 and

p(j) * p(m) = .48

.6 * p(m) = .48

p(m) = .48/.6

= .8

5 0
3 years ago
For each inequality, draw a number line and show all points that satisfy it. a 0
OleMash [197]
Where’s the question
6 0
3 years ago
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