If F(x)=3x-1 and g(x)=2x+5a. (F o g)(x)
b. (g o f)(x)
c. (f o g)(-2)
d. (g o f)(-2)

Answers

Answer 1

Answer: ( fog )(x) = f(g(x)) =3*g(x) - 1 = 3(2x+5) -1 = 6x + 15 - 1 = 6x + 14;
( gof )(x) = g(f(x)) = 2 *f(x) + 5 =2(3x-1) + 5 = 6x-2 + 5 = 6x + 3 ;
( fog )(-2) = 6*(-2) +14 = -12 + 14 = 2;
( gof )(-2) = 6*(-2) + 3 = -12 + 3 = - 9.

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Ralph is covering a bulletin board with colored sheets of paper. The ratio of the number of sheets of red paper to the number of sheets of pink paper is 1 to 3. How many sheets of pink paper will Ralph need if he uses 3 sheets of red paper? A. 6 B. 8 C. 9 D. 12

Answers

There are 9 Pink colored sheets.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmeticoperations.

given:

Ratio of Red: Pink = 1 :3

let the common ratio be x

If red color sheets are 3.

Then 1x =3

x= 3

Then ,the number of pinksheet s

= 3x

= 3(3)

= 9

Learn more about algebra here:

brainly.com/question/24875240

#SPJ2

Answer:

Ralph will need 9 sheets of pink paper

Explanation:

The red paper to pink paper ratio is 1 to 3. This means that for every 1 piece of red paper, there are 3 pieces of pink paper. Since there are 3 pieces of red paper that Ralph has, you multiply 3 times 3 to get 9 pieces of pink paper.

A basketball player gets 2 free-throw shots when she is fouled by a player on the opposing team. She misses the first shot 40% of the time. When she misses the first shot, she misses the second shot 5% of the time. What is the probability of missing both free-throw shots?

Answers

The probability of missing the first shot is 40%. When she misses the first shot, the probability of missing the second shot is very, very low, only 5%. That means that the probability of missing both shots must be much smaller than the probability of missing the first shot.

40/100 * 5/100
0.4 * 0.05
= 0.02
= 2%

Y=2x+1
answers anyone?

Answers

Answer: y= 2

Step by step: Multiply 2 and 1 to get 2

Whats does slope mean

Answers

slope means rise over run method

Slope is the constant rate of something, which is calculated by rise/run.

Also, the formula for slope is $(y2 - y1)/(x2-x1)$

Please help me!!! (the answer isn't 140 or 70 :/ )

Answers

Answer:

b=40

Step-by-step explanation:

Since PQ is equal to RQ triangle PQR is isosceles. Angle PRQ is equal to 40 degrees because of supplementary angles. And since triangle PQR is isosceles angle b is equal to angle PRQ which means angle b is equal to 40

The graphic shows the schedule network diagram (in minutes) for assembling a toy train set. What is the duration of the critical path?A) 38 minutes
B) 41 minutes
C) 49 minutes
D) 51 minutes

Answers

D because it is longer than the rest

Final answer:

The critical path in a project schedule is the longest sequence of tasks from start to finish and determines the minimum total duration for the project. Without the diagram, the correct duration from your multiple-choice options cannot be determined accurately. The correct answer represents the duration of the longest path from the given options.

Explanation:

Without the graphic showing the schedule networkdiagram for assembling a toy train set, providing an accurate answer would be difficult. Normally, in project management, a Critical Path represents the longest sequence of tasks (or activities) in a project schedule from start to finish. It determines the minimum total duration required to complete the project. You identify the critical path by adding the times for the activities in each sequence and determining the longest path in the project.

In this case, assuming that you have the diagram in front of you and you've calculated the total duration for all paths, one of the multiple choice options (A) 38 minutes, (B) 41 minutes, (C) 49 minutes, or (D) 51 minutes would represent the duration of the critical path in the network diagram.