All categories

3 years ago

Joel has a summer job cutting lawns. The relationship between his profit, P , in dollars and the

Mathematics

1 answer:

mote1985 [20]3 years ago

5 0

Answer:

There is a direct relationship between the profit P and the number of lawns cut

The initial value is (0,-100)

Step-by-step explanation:

Firstly, we want to know the type of variation that is between the profit and the number of lawns.

Now, looking at the graph, we can see that as the number of lawns increase, there is a corresponding increase in the profit causing a sharp rise in the graph.

What this represents is that there is a direct relationship between the two quantities.

Now, we are told to get the initial value.

Looking at the plot, we can see that the number of lawns is the x axis while the profit is the y axis

The initial value is that point at which we have the graph intersecting the y-axis which is below the x-axis

This point is the point (0,-100)

This point gives the initial value of the relationship

You might be interested in

If you borrow $840.00 and you pay back 1/5 how much do you still owe?

SCORPION-xisa [38]

Hello, I Am BrotherEye

Answer: 672 Dollars

Step-by-step explanation:

It Is Simple 1/5 Of 840 Is = 168

168 - 840=672

Thus The Money Owed is

672 Dollars

Best Of Luck

BrotherEye

4 0

3 years ago

What is number 61 and a step by step explaination please?

astra-53 [7]

1/3 ln(x) + ln(2) - ln(3) = 3

Recall that $m\log_b(n)=\log_b(n^m)$ , so

ln(x ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

$\log_b(m)+\log_b(n)=\log_b(mn)$

$\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)$

Then

ln(2/3 x ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant e. (I'm using exp(x) = e ˣ so I can write it all in one line.)

exp(ln(2/3 x ¹ʹ³)) = exp(3)

Now exp(ln(x)) = x for all x, so this simplifies to

2/3 x ¹ʹ³ = exp(3)

Now solve for x. Multiply both sides by 3/2 :

3/2 × 2/3 x ¹ʹ³ = 3/2 exp(3)

x ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(x ¹ʹ³)³ = (3/2 exp(3))³

x = 3³/2³ exp(3×3)

x = 27/8 exp(9)

which is the same as

x = 27/8 e ⁹