Mathematics College

f(x)=−10x2−x and g(x)=−2x2−x, find (f−g)(x) and (f−g)(−2)

Answers

Answer 1

Answer:

(f - g)(x) = -8x²

(f - g)(2) = -32

General Formulas and Concepts:

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define

f(x) = -10x² - x

g(x0 = -2x² - x

(f - g)(x) is f(x) - g(x)

(f - g)(2) is f(2) - g(2)

Step 2: Find (f - g)(x)

Substitute:                    (f - g)(x) = -10x² - x - (-2x² - x)Distribute -1:                 (f - g)(x) = -10x² - x + 2x² + xCombine like terms:    (f - g)(x) = -8x²

Step 3: Evaluate

Substitute:                    (f - g)(2) = -8(-2)²Evaluate:                       (f - g)(2) = -8(4)Multiply:                        (f - g)(2) = -32

And we have our answers!

Related Questions

During the winter of 2012-2013, Buffalo, New York received 22 inches of snow in 12 hours. Oswego, New York received 31 inches of snow over a 15-hour period. What was Oswego’s snowfall rate ? Round your answer to the nearest hundredth.

Answers

Oswego’s snowfall rate given the inches of snow and the hours of snow is 2.07 inches / hour.

What is Oswego’s snowfall rate ?

The rate of snowfall measures how fast snow was falling with respect to time. It is the ratio of the snow and time. The rate can be determined by dividing the total inches of snow by the total time.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

Oswego’s snowfall rate = inches of snow fall / time

31 / 15 = 2.07 inches / hour

To learn more about rate, please check: https://brainly.com/question/717978

#SPJ1

Helppp pleaseee = 57(1.05)×​

Answers

Answer: 0.5985

Step-by-step explanation:

Please asking for help thanks!

Answers

Is there and way you can soon in closer

For 6 days Bella drank 2/3 cups of orange juice

How much orange juice did she drink

HELP WILL GIVE BRAINLYIST​

Answers

Answer:

She has drunk 66.67% of cups of juice in 6 days.

Step-by-step explanation:

Bella drank 2/3 cups of orange juice  in 6 days.

It means that if there are 'x' number of cups, then she has drunk [tex]\frac{2}{3}x[/tex] of orange juice.

In other words, she has drunk 66.67% of cups.

For example, if the total number of cups = x = 9

Then she has drunk:

2/3 × 9 = 6 cups in 6 days.

Therefore, we conclude that for 6 days, she has drunk [tex]\frac{2}{3}x[/tex] of orange juice if there are 'x' number of cups.

Thus, she has drunk 66.67% of cups of juice in 6 days.

what is the fraction 1/4 in a decimal

Answers

.25 is the fraction for 1/4! (:

3 1/3 - 2 7/12 Please help me sorry

Answers

Answer:0.75

Step-by-step explanation:

14 POINTS PLEASE HELP ME PLEASE

Answers

Answer:

god

Step-by-step explanation:

Answer:

1 Solution

Step-by-step explanation:

I

The lines shown below are parallel. If the green line has a slope of -3/7, what is
the slope of the red line?

Answers

Answer:

13/7

Step-by-step explanation:

Since the lines are parallel they have the same slope. Therefore, the slope of the red line is -3/7. Hope this helps! Have a great day!

hal,zeld ,maya, and jason each recorded the height and age of five classmates. they used the data to create the tables shown

Answers

i don’t see any tables shown

Let f(x) represent the weight of the jar when there are x marbles, where f(0)=10. Which equation correctly represents f(x) in terms of f(x−1) for all x>0?
A
f(x)=3⋅f(x−1)

B
f(x)=f(x−1)+3

C
f(x)=f(x−1)+3x

D
f(x)=f(x−1)+2x+1

Answers

Answer:

B

Step-by-step explanation:

We essentially have the sequence:

10, 13, 16, 19, 22,25...

This is an arithmetic sequence because each subsequent term differs only by a constant.

And this constant, the common difference, is +3 since each subsequent term is 3 more than the previous term.

Hence, we can write a recursive formula for our sequence.  

We will first define our first term. The first term, at x=0, is 10. Hence:

[tex]f(0)=10[/tex]

Each term, x, is +3 the previous term (x-1). Therefore:

[tex]f(x)=f(x-1)+3[/tex]

Hence, our answer is B.

Answer:

B

Step-by-step explanation:

f(x)=f(x-1)+3x

Can you explain how to get that answer do I multiple divide add or subtract please help!!

Answers

Answer:

There are 0.5 ounces in 14 grams.

Step-by-step explanation:

Ounce is a larger unit while gram is a smaller unit. When we have to convert from a smaller unit to a larger unit, division is used.

It is also given that

1 ounce = 28 grams

In order to find the number of ounces in 14 grams, it will be divided by 28 grams

So,

[tex]14\ grams = \frac{14}{28} = 0.5\ ounces[/tex]

Hence,

There are 0.5 ounces in 14 grams.

4x+8
2x +3
Find a single expression that represents the perimeter of the rectangle.
A)
2x + 5
B)
4x + 10
C)
6x + 11
D)
12x + 22

Answers

Answer:a

Step-by-step explanation:

Curtis bought a skateboard which he later sold at a 30% loss for £14. How much did Curtis pay for
the skateboard originally? ​

Answers

Answer:

18 pounds if I'm correct

-----------------------------

Answers

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

.......................... you do know you could skip math class and do better in your other classes and you will still move to the next grade pls make me as Brainliest

Step-by-step explanation:

COMPLETE THE TABLE PICTURED: A robot is put into a maze, it can only go N, E, S, and West. The value i represents the north, and the magnitude is equal to 1. I have figured out that N= i, East= 1, South= -i, and West= -1. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. When the robot makes a turn, it would be useful to have an operation to perform on d to represent this turn. This is because after making a turn, the new value of d will depend on the old value of d. Complete the table for the new values of d if the robot is turning left or right. Then determine an expression in terms of d that will give the new position if the robot turns left and another expression if the robot turns right. Type these expressions in the last row of the table.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A right turn represents a clockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by -i.

A left turn represents a counterclockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by i.

The attached table shows the desired values and expressions.

Step-by-step explanation:

[tex]\boxed{\begin{array}{c|c|c} \underline{Intial -d} & \underline {Left-turn} & \underline{Right-turn} \\ -1 & -i & i \\ 1 & i & -i \\ i & -1 & 1\\ -i & 1 & -1 \\ d & di & -di \end{array}}[/tex]

The blue dot is at what value on the number line?

Answers

Answer:

the blue dot is at -19 on the number line

Step-by-step explanation:

Help me pleaseeeeeee

Answers

The answer to your question will be C

see the image please answer as fast as possible 15 points! also round, please

Answers

Answer:

67.7

Step-by-step explanation:

perimeter = semicircle (x2) + parallelogram side (x2)

                = 1/2 π 12 (x2) + 15 (x2)

               = 37.7 + 30

               = 67.7

NY Giants quarterback, Eli Manning’s rating for the 2014 season given the following stats: 601 attempts, 379 completed passes, 32 touchdowns, 10 interceptions, and 4,415 yards. (Round all answers to the nearest tenths)

Answers

601 attempts = 600

379 completed passes = 380

32 touchdowns = 30

10 interceptions = 10

4,415 yards = 4,420

Someone help please

Find the sine of

Answers

Answer:

5/13

Step-by-step explanation:

The sine of angle r is opposite over hypothenuse,5/13.

If you need help with sine cosine and tangent just remeber

sohcahtoa This means sine=opposite over hypotenuse, cosine=adjacent over hypotensuse, tangent=opposite over adjacent.

Write an equation of the line that passes through 18,2 and is parallel to the line 3y-x=-12

Answers

Answer:

Step-by-step explanation:

3y - x = - 12 ⇔ y = [tex]\frac{1}{3}[/tex] x - 4

y - 2 = [tex]\frac{1}{3}[/tex] ( x - 18 )

y = [tex]\frac{1}{3}[/tex] x - 4

Answer:

y=1/3x-4

Step-by-step explanation:

Refer to the picture that given

10
9
8
7
6
5
4

3
2
1
х
0 1 2 3 4
5
6
7
8 9
10
What is the slope?

Answers

Answer:

what is that you are trolling

Step-by-step explanation:

Answer:

you do over and then up and see where the line intersects the points

(1,3)

If the graph of the function f has a multiple zero at x = 2, what is a possible exponent of the factor x - 2? Justify your reasoning.
​

Answers

Answer:

[tex](x-2)^2[/tex]

The exponent is 2.

Step-by-step explanation:

Remember multiplicity rules:

If a factor has an odd multiplicity (e.g. it is raised to 1, 3, 5...) then it will cross the x-axis. If a factor has an even multiplicity (e.g. it is raised to 2, 4, 6...) then it will bounce off the x-axis.

At x=2, we have the factor (x-2).

From the graph, we can see that the graph bounces off at that point.

Hence, the multiplicity of (x-2) must be even.

Therefore, a possible exponent for the factor (x-2) is 2. Any even number will suffice.

A group of 100 students were surveyed about their interest in a new Economics major. Interest was measured in terms of high, medium, or low. In the study, 30 students responded high interest, 50 students responded medium interest, and 20 students responded low interest. What is the best way to illustrate the percentage of student interest

Answers

Answer:

Pie chart

Step-by-step explanation:

Pie Chart - This physically portrays information as a decimal number of a whole, and may be a powerful authentication scheme for the uninformed public. It helps the viewer to see a collection of results at a glance in order to do an instant review or easily interpret details.

What is 1.234 x 10-3 in standard form?

Answers

Answer: The answer is 123,400.

Step-by-step explanation:

Answer:

123,400

Step-by-step explanation:

its already in standard form.

Which is the correct way to write "the square root of 16?" A) 163 B) 162 C) 32 D) 16

Answers

32163

Step-by-step explanation:

16×16=163 ok that's why and square root is times

Describe the shape of the distribution

Answers

Answer:

it is bimodal

Step-by-step explanation:

pls make me ur brainliest

Answer:

it is skewed

Step-by-step explanation:

Simplify the expression

Answers

Answer:

option A -3r^6 s^14

Step-by-step explanation:

(-3r^4 s^7/r)^2

(-3r^3 s^7)^2

-3r^6 s^14

-TheUnknownScientist

One third of the people at a banquet ordered ice cream for desert. The rest ordered pie. One fourth of those requesting pie ordered apple pie. Of 180 people attended the banquet, how many ordered apple pie?

Answers

Answer:

30 people ordered the apply pie

Step-by-step explanation:

Given

Total number of people = 180

It is given that one -third of the people order the ice cream

So the people who order ice cream are:

[tex]= \frac{1}{3} * 180\\= 60[/tex]

60 people order ice cream and rest who ordered pie are:

= 180-60 = 120

Now it is given that one-fourth of the people who ordered pie ordered apple pie

So,

[tex]= \frac{1}{4} * 120\\= 30[/tex]

Hence,

30 people ordered the apply pie

How is 1.03 written as a percent?

Answers

Answer:

103%

Step-by-step explanation:

It doesn't matter if the number is bigger than 100 in math my teacher told me.

Please say my answer was the most helpful. I want to have a brainliest.

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