The function t(x) = 3x + 1 determines how many cans of green beans a food truck needs to stock on board, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on green beans. The function c(x) = x + 4. Solve for how much money must be spent when the crew is going to work 2 shifts.

Answers

Answer 1

Answer:

Answer: The amount of money he must be spent when the crew is going to work 2 shifts is $11.

Step-by-step explanation:

Since we have given that

the function t(x)=3x+1 determines how many cans of green beans a food truck needs to stock on board , where x is the number of shifts the crew is going to work in the truck.

And the function c(x)= x+4

Since the crew uses c(t(x)) to find the amount of money to spend on green beans .

So, we will use "Composition of functions ":

$c(t(x))=(3x+1)+4\n\nc(t(x))=3x+5$

Since the crew is going to work 2 shifts , so our answer will be

$c(t(2))=3(2)+5\n\nc(t(2))=6+5\n\nc(t(2))=11$

Hence, the amount of money he must be spent when the crew is going to work 2 shifts is $11.

Answer 2

Answer: t ( x ) = 3 x + 1
c ( x ) = x + 4
c ( t ( x ) ) = 3 x + 1 + 4 = 3 x + 5
When x = 2:
c ( 2 ) = 3 * 2 + 5 = 6 + 5 = 11
Answer: $11 must be spent on green beans.

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Factor this expression. Check by multiplying factors. 3ab+a+3b^2+b
whats the answer

Answers

The solution to the problem is as follows:

you have"a" as common so, you can write it as: a(3b+1) +3b^2 + b. from the remaining two terms, you have b common, so write it as a(3b+1) +b(3b+1).

This gives you (a+b)(3b+1)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

hn and 4 friends are going out for pizza for lunch. They split one pizza and 5 large drinks. The pizza cost $10.00. After using a $4.00 gift certificate, they spend a total of $13.50. Write an equation to model this situation, and find the cost of one large drink.

Answers

5d + 10 - 4 = 13.50 <== ur equation
5d + 6 = 13.50
5d = 13.50 - 6
5d = 7.5
d = 7.5/5
d = 1.50 <== what each drink costs

A beach has to enclose a rectangular area, because some endangered species are nesting there. They have 200 feet of rope to rope off the area with. What is the maximum area that they can rope off?

Answers

Given:
rectangular area
200 feet of rope to rope off the area with.

200 feet is the perimeter of the rectangle. Since its a rectangle its length should be greater than its width.

Perimeter = 2(L + W)
200 ft = 2 (L + W)
200 ft / 2 = (L + W)
100 ft = L + W

100 ft can be distributed as follows:
Length Width Area = Length * Width
90 10 900
85 15 1,275
80 20 1,600
75 25 1,875
70 30 2,100
65 35 2,275
60 40 2,400
55 45 2,475

The maximum area that can be roped off is 2,475 ft².

Answer:

2500

Step-by-step explanation:

If x = 9 and y = 4, work out the value of xy/ 2

Answers

answer: 3/1

Step-by-step explanation:

This is like a puzzle, and each part tells you something. The first statement tells us that x is a negative number and y is a positive number. The next statement, x + y , is what we need to know. The first absolute value gives us x. Solve for the absolute value, that is, what is inside can be either negative or positive so either x-9 = 12 or x - 9 = -12. Solve those for x = 21 or x = -3. We know that x is negative from that first statement, , so x is -3. Do the same with the other absolute value to solve for y, then add the two together to get your final answer. hope this helps a bit!

Suppose the population of trout in a certain stretch of a river is 4000. In about how many years will the population of trout be 700 if the decay rate is 35%? Use the equation 700 = (4000)(0.65)x and round the value of x to the nearest year.

Answers

Answer: 4 years

Step-by-step explanation:

The exponential decay equation is given by :_

$y=A(1-r)^x$ , where A is the initial population and r is the rate of decay in x years .

The initial population of trout in a certain stretch of a river =4000

The rate of decay = 35% =0.35

To find the number of years (x) for the population of trout be 700, we put all the values of the above equation, we get

$700=4000(1-0.35)^x\n\n\Rightarrow700=4000(0.65)^x\n\n\Rightarrow (0.65)^x=(700)/(4000)\n\n\Rightarrow(0.65)^x=0.175\n\n\text{Taking log on both sides, we get}\n\n\Rightarrow x\log(0.65)=\log(0.175)\n\n\Rightarrow x(-0.187086643357)=-0.756961951314\n\n\Rightarrow x=(-0.756961951314)/(-0.187086643357)\n\n\Rightarrow\ x=4.0460502029\approx4\text{ years}$

4.97991230017 years is the final answer. I would suggest rounding your answer to the nearest tenth, so 5 years should be your correct answer.

The radius of the Earth is approximately 3,960 miles. Find the approximate surface-area-to-volume ratio of the Earth.

Answers

The surface area of a sphere is A = 4π R²

The volume of a sphere is V = (4/3) ( π) (R³)

The ratio of (surface area) to (volume) is

      4 π R² / (4/3) (π) (R³)

Divide top and bottom by 4π :    R² / (1/3) (R³)

Multiply top and bottom by 3: 3 R² / R³

Divide top and bottom by R² :    3 / R .

For the Earth,

   A / V = (3) / (3,960 miles) = 0.00076 per mile (rounded)

Answer:

B. 0.00076

Step-by-step explanation:

Unit test on e2020

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