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3 years ago

12

The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers

earnings per hour. Is this situation defined by a linear function? Write and graph an equation to check you prediction

1 answer:

just olya [345]3 years ago

6 0

Answer:

Yes this is a linear function f(x) = ex+30

e = hourly rate

x=hours

f(x) = total earnings

You might be interested in

What is the value of x (distance from the edge of the screen to the end of the wall) if the area of the screen is 40 m^2?

erica [24]

The value of x that is the length from the edge of the screen to the end of the wall is equal 3. This is derived from an equation which serves as a function of the Area. See the solution below.

<h3>

What is the calculation for the solution above?</h3>

Recall that the area of the entire wall is 40m².

(10-2x) (16- 2x) = 40

Expanding the brackets, we have

160-20x-32x + 4x² = 40
4x² - 52x + 120 = 0
x² - 13x +30 = 0

Using the quadratic equation

x = (-b±√b²-4ac)/2a

Where a = 1
b = 13
c = 30

x = (13 ± 7)/2

Thus x = 10; or x = 3.

x cannot be the answer because it invalidates 16-x<0;

Hence, the correct answer is x = 3

Learn more about Areas at:
#SPJ1

7 0

2 years ago

Mabel, Adeline and Charlie share 34500ft2 of land Mabel ownes 26%of the land area and Adeline Owens 47% of the land area . What

NikAS [45]

Answer:

<em>Charlie owns 9,315 ft2 of the land area</em>

Step-by-step explanation:

There are 34,500 ft2 of land shared between Mabel, Adeline, and Charlie.

Mabel owns 26% of the land area, that is:

26*34,500 ft2 / 100 = 8,970 ft2

Adeline owns 47% of the land area, or:

47*34,500 ft2 / 100 = 16,215 ft2

The land owned by Mabel and Adeline is: 8,970 ft2 + 16,215 ft2 = 25,185 ft2

Since the total area land is 34,500 ft2, Charlie owns:

34,500 ft2 - 25,185 ft2 = 9,315 ft2

Charlie owns 9,315 ft2 of the land area

4 0

3 years ago

Find the measure of b. (Explain how you found it please!)

Allisa [31]

Answer:

125 deg

Step-by-step explanation:

Keep these three rules in mind:

1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.

2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.

3) Opposite angles of a rectangle inscribed in a circle are supplementary.

110 deg is a central angle.

By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.

a is an inscribed angle that intercepts an arc of 110 deg.

By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.

angle a measures 55 deg.

Rule 3) Angles a and b are supplementary.

a + b = 180

55 + b = 180

b = 125

5 0

3 years ago

One month, ruby worked 8 hours more than isaac, and svetlana worked 4 times as many hours as ruby. together they worked 136 hour

Travka [436]

Let Issac work for x hours, and Ruby works 8 hours more than of Issac, so Ruby work for $(x+8)$ hours.

And Svetlana worked four times of Ruby, therefore Svetlana worked for

$4(x+8) hours$

And total hours they worked together is 136. That is

$x+x+8 + 4(x+8) = 136
\\
x+x+8 +4x+32=136
\\
6x+40 =136
\\
6x=96
\\
x =16 hours$

So Issac worked for 16 hours, Ruby worked for 24 hours and Svetlana worked for 24 times 4 equals 96 hours .

6 0

4 years ago

Evaluate S5 for 600 + 300 + 150 + … What's the answer?

myrzilka [38]

The answer is C.)

S1 = 600 (divide by 2)
S2 = 300 (divide by 2)
S3 = 150 (divide by 2)
S4 = 75 (divide by 2)
S5 = 37.5

7 0

3 years ago