- There are 75 cars at a dealership. 35 are blue or red. Suppose 16 are red and 3 are

A food cooperative is a business that usually offers special prices on locally grown food and produce. Some are clubs and some a

Hoochie [10]

Answer:

The indifference point is 8 weeks.

Step-by-step explanation:

First, we establish the total cost formula for each:

x= number of weeks

Club:

Total cost= 20 + 15*x

Retail:

Total cost= 17.5*x

Now, we equal both formulas and isolate x:

20 + 15x = 17.5x

20 = 2.5x

8=x

The indifference point is 8 weeks.

Prove:

Total cost= 20 + 15*8= $140

Total cost= 17.5*8= $140

3 0

3 years ago

A d + b = 180

serg [7]

I know B is true, but i’m unsure for the other choices.

7 0

3 years ago

Water tank is being filled with water. Before water is pumped in, the water level in the tank is 12 inches high. After 20 minute

zhenek [66]

Answer:

D. H = 2.1t + 12

Step-by-step explanation:

Let us assume the t be the time in minutes

And h be the water level

Now before reaching to the equation that need to be used

before this, determine the inches per minute i.e.

= 54 inches - 12 inches

= 42 inches in 20 minutes.

Now for per minute, it would be

= 42 inches ÷ 20 minutes

= 2.1 inches per minute

After this, multiply the inches per minute with the minutes t and add the sale to the beginning value i.e. 12

So the equation is

H = 2.1t + 12

hence, the last option is correct

7 0

3 years ago

If the output number y is -52 (y=5x-2) what is the input number? SHOW WORK

nordsb [41]

Answer:

the input number is -10

Step-by-step explanation:

output is always y

input is always x

so instead of y, put -52

-52=5x-2 add 2 to each side to ger 5x by itself

-50=5x divide both sides by 5 to get x by itself

-10=x

x is the input so the input is -10

8 0

3 years ago

Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.

barxatty [35]

Answer:

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

$\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx$

If $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ , $a = 0$ , $b = b$ and $\bar f = 8$ , then:

$\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8$

$\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8$

$\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8$

$7 + 5\cdot b - 3\cdot b^{2} = 8$

$3\cdot b^{2}-5\cdot b +1 = 0$

The roots of this polynomial are determined by the Quadratic Formula:

$b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

7 0

3 years ago