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Aloiza [94]
3 years ago
7

A student earns a flat rate of $30/day planting trees, plus $0.50/tree planted. Create a table of values and scatter plot showin

g the amount earned on days when 100,150,200,250 and 300 trees are planted.
Mathematics
1 answer:
Dima020 [189]3 years ago
3 0
Y = 0.50x + 30

trees planted :   (x)  100      150     200      250      300
amount earned :(y)   80       105     130      155      180
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8) Choose the correct linear system of inequalities for the graph given.
ziro4ka [17]

Answer:

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line.

If the inequality is strict ( < or > ), graph a dashed line. If the inequality is not strict ( ≤ or ≥ ), graph a solid line.

Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane.

Graph each of the inequalities in the system in a similar way. The solution of the system of inequalities is the intersection region of all the solutions in the system.

Example 1:

Solve the system of inequalities by graphing:

y≤x−2y>−3x+5

First, graph the inequality y≤x−2 . The related equation is y=x−2 .

Since the inequality is ≤ , not a strict one, the border line is solid.

Graph the straight line.

Consider a point that is not on the line - say, (0,0) - and substitute in the inequality y≤x−2 .

0≤0−20≤−2

This is false. So, the solution does not contain the point (0,0) . Shade the lower half of the line.

Similarly, draw a dashed line for the related equation of the second inequality y>−3x+5 which has a strict inequality. The point (0,0) does not satisfy the inequality, so shade the half that does not contain the point (0,0) .

The solution of the system of inequalities is the intersection region of the solutions of the two inequalities.

Example 2:

Solve the system of inequalities by graphing:

2x+3y≥128x−4y>1x<4

Rewrite the first two inequalities with y alone on one side.

3y≥−2x+12y≥−23x+4−4y>−8x+1y<2x−14

Now, graph the inequality y≥−23x+4 . The related equation is y=−23x+4 .

Since the inequality is ≥ , not a strict one, the border line is solid.

Graph the straight line.

Consider a point that is not on the line - say, (0,0) - and substitute in the inequality.

0≥−23(0)+40≥4

This is false. So, the solution does not contain the point (0,0) . Shade upper half of the line.

Similarly, draw a dashed line of related equation of the second inequality y<2x−14 which has a strict inequality. The point (0,0) does not satisfy the inequality, so shade the half that does not contain the point (0,0) .

Draw a dashed vertical line x=4 which is the related equation of the third inequality.

Here point (0,0) satisfies the inequality, so shade the half that contains the point.

The solution of the system of inequalities is the intersection region of the solutions of the three inequalities.

Step-by-step explanation:

I got it right

3 0
2 years ago
Math picture below...
SashulF [63]

Answer:

Step-by-step explanation:

ans is c) f(x) is a polynominal function. The degree is 5 and the leading coefficient is -7.

x -> ∞, f(x) -> ∞; x -> -∞, f(x) -> -∞

the only ans that follows the above is a) f(x)=7x^9-3x^2-6

correct statments are:  c)  (1, 6.08) and (3, 0.75) are local extrema for the function and  d)  (-2, -9.67) is the global minimum for the function.

5 0
3 years ago
Read 2 more answers
$12,000 is invested for 4 years at a simple interest rate of 1.5%. How much does the investment earn?
bixtya [17]
12'000×1.5 I think might need to multiple your answer by 4 yet
5 0
3 years ago
A car manufacturer has a failure rate in their oil gasket of 2%. What is the probability that , of 1200 cars built, 50 will deve
Keith_Richards [23]

Answer:

4%

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I will give brainliest<br> -50-c=5c-2<br> Show work pleasee
Lilit [14]

Answer:

- 8

Step-by-step explanation:

Step 1:

- 50 - c = 5c - 2     Equation

Step 2:

- 50 = 6c - 2    Add c on both sides

Step 3:

- 48 = 6c   Add 2 on both sides

Step 4:

- 48 ÷ 6     Divide

Answer:

c = - 8

Hope This Helps :)

6 0
3 years ago
Read 2 more answers
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