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Schach [20]
3 years ago
11

A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is s

till in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
a. create a system of equations or inequalities that models the situation. define the variables you use.

b. the graph shows one of the relevant equations in this situation. Draw the graph of the other relevant equation.

c. show all the points that represent the number of hours the student can work at each job and meet his goal.​
Mathematics
1 answer:
Bess [88]3 years ago
8 0

Answer:

:)

Step-by-step explanation:

15x=300

x will equal 20

20x=300

x will equal 15

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PLZZ HELP I’m bad at math.
ipn [44]

Answer:

y<\frac{-1}{3}x+1 is inequality shown on graph.

Step-by-step explanation:

The graph shows representation of inequality,

Here, Line passes through points say, A(3,0) and B(0,1)

The slope of line is given by m=\frac{Y2-Y1}{X2-X1}

m=\frac{Y2-Y1}{X2-X1}

m=\frac{1-0}{0-3}

m=\frac{-1}{3}

and Y-intercept is c=1

The equation of line is given by y=mx+c

y=\frac{-1}{3}x+1 is equation of line in graph.

To decide which side you are going to shaded area on the graph

Take test of origin.

If (0,0) is statisfy the equation then, shaded the graph towards the origin.

Let suppose,

Take, y<\frac{-1}{3}x+1

0<\frac{-1}{3}(0)+1

0<1

TRUE,

Therefore, y<\frac{-1}{3}x+1 is inequality shown on graph.

4 0
3 years ago
PLEASE ANSWER THIS QUESTION !! WILL GIVE BRAINLIEST !! 20 POINTS !!
Reil [10]

Answer:

(2x+1)(x+7)

Step-by-step explanation:

Guess and Check

(2x+7)(x+1) = 2x^2+9x+7. NOPE

(2x+1)(x+7) = 2x^2+15x+7. YES

8 0
3 years ago
Read 2 more answers
En un grupo de 100 personas 2/5 prefieren sopa de pollo, 4/10 prefieren comer hornado, y el resto prefiere fritada. A) ¿Qué part
castortr0y [4]
In a group of 100 people, 2/5 prefer chicken soup, 4/10 prefer to eat hornado, and the rest prefer frying. What part of the group prefers frying ? How many people prefer each type of food ? (thank u google translate)...I guess

2/5 of 100 prefer chicken soup.....so thats 2/5 * 100 = 200/5 = 40 prefer chicken soup.

4/10 out of 100 prefer hornado (I dont even know what that is)...
4/10 * 100 = 400/10 = 40 prefer hornado.

and the rest prefer frying....100 - (40 + 40) = 100 - 80 = 20 (or 1/5) prefer frying 
3 0
3 years ago
What is the volume of the figure below, which is composed of two cubes with side lengths of 9 units
Rufina [12.5K]
9 cubed. times 2 =
1458
6 0
3 years ago
A formula for the relationship between weight and blood pressure in children is given by the formula below where P(x) is measure
photoshop1234 [79]

Answer:

The rate of change of blood pressure at the 50-pound weight level is 0.26

The rate of change of blood pressure at the 80-pound weight level is 0.16

Step-by-step explanation:

We have, P(x) = 12.9(9 + ln x)

We need to compute the rate of change of blood pressure P(x) so, we will differentiate the function P(x) with respect to x.

P(x) = 12.9(9 + ln x)

P(x) = 116.1 + 12.9ln x

Differentiating with repect to x:

\frac{d(P(x))}{dx} = 0 + 12.9 (\frac{1}{x})

\frac{d(P(x))}{dx} = 12.9 (\frac{1}{x})

The differential of ln x is \frac{1}{x} and the differential of constant terms is 0.

The rate of change of blood pressure at the 50-pound weight level can be calculate by substituting 50 in place of x, so

\frac{d(P(x))}{dx} = 12.9 (\frac{1}{x})

          = 12.9 * (1/50)

          = 0.258

\frac{d(P(x))}{dx} = 0.26

Similarly, The rate of change of blood pressure at the 80-pound weight level can be calculate by substituting 80 in place of x, so

\frac{d(P(x))}{dx} = 12.9 (\frac{1}{x})

          = 12.9 * (1/80)

          = 0.16125

\frac{d(P(x))}{dx} = 0.16

6 0
3 years ago
Read 2 more answers
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