If f(x) = -x^2 + 6x - 1 and g(x) = 3x^2 - 4x-1, find (f - g)(x).

A. (f- g)(x) = -4x^2 - 2x
B. (f- g)(x) = 2x^2 + 2x-2
C. (f- g)(x) = 4x^2 - 10x
D. (f - g)(x) = -4x^2 + 10x

Answers

Answer 1

Answer:D

Step-by-step explanation:

(f-g)(x)= -x^2+6x-1- (3x^2-4x-1)

(f-g)(x)= -x^2+6x-1 -3x^2+4x+1

(f-g)(x)= -x^2-3x^2+6x+4x-1+1

(f-g)(x)= -4x^2+10x


Related Questions

In an orchard, there are 14 apple trees, 26 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?

Answers

Answer:

The ratio of apple trees to cherry trees is 14a to 1c

Step-by-step explanation:

Please helppp!!!! I’ll give you a crown!!

But please explain the answer, Bc I want to understand.

Which is an equation for a line that passes through (0,-3) and is perpendicular to the graph of the line y=2x-3?

1. Y=-2x+3
2. Y= -2x-3
3. Y=-1/2x +3
4. Y=-1/2x-3

Answers

Answer:

I think the answer is 2

Step-by-step explanation:

I it is perpendicular to y=2x-3 then the x value has to be -1 meaning that the x value has to be -2x

so we have Y=-2x+c

We know the Y value is -3 from the co ordinates (0,-3)

so now we have -3=-2x+c

we also know x=0 from the co-ordinates (0,-3)

so we now have -3=-2*0+c

-3=0+c

to make the equation work c has to be -3 meaning that we now have

-3=0-3 which is

Y=-2x-3

EASY QUESTION!!
Give an example of a combination of two functions, f(x) and g(x), that would result in a rational function. Be sure to identify the function type for f(x) and g(x), as well as the operation used to combine them.

Answers

when as the x as the

Find the solution to -36 = -6b.

b =
PLEASE FAST

Answers

The answer would be X=6 because you divide -6 by both sides
B=6 have a great day

Which one is the correct choice?

Answers

i don’t know man u should provide the choices also pls give me brainliest luv u

Answer:

there's no picture to look at the choices

Step-by-step explanation:

sorry I would help

Solve for x.

5(x – 10) = 30 – 15x

x = 1
x = 4
x = 5
x = 8

Answers

chan eil agad ach sgrùdadh a dhèanamh air google!

5x-50 = 30-15x, 20x = 80, x = 4,

x=4!

Answer:

x=4

Step-by-step explanation:

5x-50 = 30-15x, 20x = 80, x = 4,

x=4

hope this helps

The sum of 24 and 4 doubled

Answers

Answer:

56

Step-by-step explanation:

(24+4)x2=28x2=56

Answer:

56

Step-by-step explanation:

First things first we need to make into an understandable equation. Remember that sum means we will be adding 24 and 4. As for doubled that means that 24+4 will be multiplied by 2 so the equation should turn out like this...

[tex]x=2(24+4)[/tex]

Once we have the equation set up we can solve it...

[tex]x=2(24+4)\\x= 48+8\\x=56[/tex]

So the sum of 24 and 4 doubled is 56.

The area of the rectangle is 6 square feet. If its width is 2 1/7
​feet, find its length.

Answers

Answer:

L = 2 4/5 feet

Step-by-step explanation:

A = L x W

6 = L x 2 1/7

divide both sides by 2 1/7

6 divided by 2 1/7 = L (is the same as multiplying by the reciprocal)

6 x 7/15 = L

L = 14/5 or 2 4/5

The length of a rectangular sign is 5 times its width. If the sign’s perimeter is 36 inches, what is the sign’s area?

Answers

First you need to find the length. To do this, you need to find what two numbers, when doubled, equal 36. I just tried trial and error until I got to 3. So 3 times 5 equals 15. Then you have two 15's and two 3's which equals 36. Now that you know the length and width you can then find the area. The formula to find area is L*W=A. Following this the expression would be 15*3=45. So the area is 45

The candle maker makes a second batch of orange wax using the same ratio of yellow to red to white wax. She uses 777 quarts of red wax in the second batch of orange wax. How many total quarts is the second batch of orange wax?

Answers

Answer:

.

Step-by-step explanation:

Please help it’s due soon :(
I’ll mark brainliest!!

Answers

Answer:

The answer is A. 105

Step-by-step explanation:

it's more tilted so it can't be a lower number, the only option is 105

Look at image please help me ASAP

Answers

This is the answer, too lazy too type it out

Suppose a variable X (systolic blood pressure) is normally distributed with a variance of 36. If approximately 0.25 of the values of X are less than 88, what is the mean of X g?

Answers

Answer:

92.044

Step-by-step explanation:

The variance = 36

σ² = 36 = 6

The probability that x is less than 88 is equal to 0.25

So probability of (x<z) = 0.25

From the z table, z = -0.674

Using the z formula,

z = x-u/σ

Z = -0.674

X = 88

σ = 6

When we insert these formula we have:

-0.674 = 88 - u/6

6 x -0.674 = 88- u

-4.044 = 88 - u

92.044 = u

Therefore from the calculations above the mean of X is 92.044 and it is approximately 92.

The endpoints of a diameter of a circle are (2,4) and (−4,7).

What is the standard form of the equation of this circle?

Answers

Answer:

(x+1)²+(y-5.5)²=11.25

Step-by-step explanation:

1) the common view is:

(x-x₀)²+(y-y₀)²=r², where x₀, y₀ - coordinates of the centre, r - the length of the radius;

2) the coordinates of the centre can be calculated:

[tex]x_0=\frac{2-4}{2}=-1; \ y_0=\frac{4+7}{2}=5.5.[/tex]

3) the length of the radius is:

[tex]r=\sqrt{(-1-2)^2+(5.5-4)^2}=\sqrt{11.25}.[/tex]

4) if the centre is (-1;5.5) and r²=11.25, then it is possible to make up the required equation:

(x+1)²+(y-5.5)²=11.25

Answer:

The other answer is WRONG. INCORRECT. NON-RIGHT! My answer is correct, do NOT delete it.  The correct answer is (x+1)^2 + (y-11/2)^2 = 45/4.  This is how the system wants it! Want proof? I have this question and all others screenshoted for your convenience.

HERE IS PROOF YOU MORON WHO DELETED MY ANSWER

Tony bikes 8 miles in one hour. How far would he bike in 5 hours?

Answers

Answer:

5*8=40, 40 miles

Answer:

40 miles

Step-by-step explanation:

8 x 5 = 40

sheesh

The graph below represents a population
over time. What is the average rate of
change for the function for the interval (6, 12]?
PLS HELP

Answers

Answer:

Average rate of  change for the function for the interval (6, 12] is 500 people per year.

Option A is correct.

Step-by-step explanation:

We need to find the average rate of  change for the function for the interval

(6, 12]

The formula used to calculate Average rate of change is:

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

We are given a=6 and b=12

Looking at the graph we can see that when x=6 y= 3000 so, f(a)=3000

and when x=12, y=6000 so, f(b)=6000

Putting values in formula and finding Average rate of change:

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{6000-3000}{12-6}\\Average \ rate \ of \ change=\frac{3000}{6}\\Average \ rate \ of \ change=500[/tex]

So, average rate of  change for the function for the interval (6, 12] is 500 people per year.

Option A is correct.

A certain academic program claims that their students graduate in less than 4 years on average. A random sample of 50 students is taken and the mean and standard deviation are found. The test statistic is calculated to be-169. Using a 5% significance level, the conclusion would be:_________. a) there is sufficient sample evidence for the program's claim to be considered correct b) there is insufficient sample evidence for the program's claim to be considered correct c) there is insufficient sample evidence for the program's claim to be considered incorrect d) there is sufficient sample evidence for the program's claim to be considered incorrect

Answers

Answer:

The correct option is:

(a) There is sufficient sample evidence for the program's claim to be considered correct.

Step-by-step explanation:

The hypothesis can be defined as follows:

[tex]H_{0}:\mu\geq 4\\\\H_{a}:\mu< 4[/tex]

A random sample of n = 50 students is selected.

The significance level of the test is, α = 0.05.

The degrees of freedom are:

df = n - 1

   = 50 - 1

   = 49

Compute the critical value as follows:

[tex]t_{\alpha,\ (n-1)}=t_{0.05,\ 49}[/tex]

             [tex]=t_{0.05, 60}\\\\=-1.671[/tex]

Use the t-table.

Decision rule:

If the calculate value of the test statistic is less than the critical value then the null hypothesis will be rejected.

The calculate value of the test statistic is, t = -1.69.

[tex]cal.t=-1.69<t_{0.05, 49}=-1.671[/tex]

The null hypothesis will be rejected at 5% level of significance.

The correct option is:

(a) There is sufficient sample evidence for the program's claim to be considered correct.

Please help me answer them they are due in 15 mins!?

Answers

Answer:

1. 2

2. 3

3. 6

4. 3

5. 6

6. 3

7. -6

8. -3

9. 3

10. -5

11. 12

12. -18

13. -1

I'm sorry if any of these are wrong I didn't get to check them over.

Step-by-step explanation:

I will be substituting "a number" with the variable x.

1. Four more than twice a number is 8.

2x+4 = 8

2x = 4

x = 2

2. Three more than four times a number is 15.

4x+3 = 15

4x = 12

x = 3

3. Five less than twice a number is 7.

2x-5 = 7

2x = 12

x = 6

4. One less than four times a number is 11.

4x-1 = 11

4x = 12

x = 3

5. Seven more than the quotient of a number and 2 is 10.

(x/2)+7 = 10

(x/2) = 3

x = 6

6. Six less than six times a number is 12.

6x-6 = 12

6x = 18

x = 3

7. Five less than the quotient of a number and 3 is -7.

(x/3)-5 = -7

x/3 = -2

x = -6

8. Seven more than twice a number is 1.

2x+7 = 1

2x = -6

x = -3

9. The difference between 5 times a number and 3 is 12.

5x-3 = 12

5x = 15

x = 3

10. Nine more than 3 times a number is -6.

3x+9 = -6

3x = -15

x = -5

11. Nine more than the quotient of a number and 4 is 12.

(x/4)+9 = 12

x/4 = 3

x = 12

12. Four less than the quotient of a number and 3 is -10.

(x/3)-4 = -10

x/3 = -6

x = -18

13. Nine less than six times a number is -15.

6x-9 = -15

6x = -6

x = -1

I'm in school and i need help cause I really bad at this : P

Answers

Answer:

same:P

Step-by-step explanation:

need this asap please help!​

Answers

Answer:

Its A

Step-by-step explanation                                                                                         The dolphin swam 3 feet more which is -7

How many solutions does the following equation have?

0 = -6 | 9v - 7 |

Answers

Answer:

I think it's One Solution

Step-by-step explanation:

-6|9v-7|=0

Divide 6 on both sides

-6|9v-7| /6=0/6

Simplify

|9v-7|=0

Add a absoulte rule

9v-7=0

v = 7/9

I hope it's right!

You deposit $4000 each year into an account earning 8% interest compounded annually. How much will you have in the account in 15 years?​

Answers

Sorry wrong answer, disregard my last answer.

Byron bought a keyless entry door lock that has the digits 0 through 9 on the keypad. He wants to choose a three-digit
entry code. How many different combinations are possible, if the digits can be repeated?
O 27
O 30
O 729
O 1,000

Answers

729 I think please give brainliest

please need help on this.​

Answers

Answer:

nahnahnahnahnahnahnahnahnahnahnahnah

Honestly I’m so bad at geometry so helpppp:)

Answers

Answer:

900 m

Step-by-step explanation:

l*w*h

12 m (l)*5 m (w)*15 m (h)= 900 m altogether

Which ratio is equivalent to 3:3?

6:3
4:4
3:6
3:4

Answers

Answer:

4:4

Step-by-step explanation:

3:3 can be simplified to 1:1 ( divide by 3) and then to 4:4( multiply by 4)

Hope this helps :D please mark brainliest if correct

Answer is choice B)  4:4

The ratio 3:3 reduces to 1:1 when we divide both parts by 3.

Then multiply both parts of 1:1 by 4 to get to 4:4

note how 3/3 = 1 and 4/4 = 1, which helps show 3/3 = 4/4, consequently leading to 3:3 and 4:4 being equivalent ratios.

In general, the ratio 3:3 is equivalent to anything of the form x:x where x is any number you want. So for instance, if x = 7, then 3:3 is equivalent to 7:7

Carrie used 6 lemons to make 24 fluid ounces of lemonade. Carrie is having a big party and needs to make 288 fluid ounces of lemonade. How many leominster will she need to use in order to keep the recipe proportional?

A: 4
B: 264
C: 72
D: 48

Answers

Answer:

72

Step-by-step explanation:


Sherry spent 2/5 of her weekly saving at school and 1/4 of the remainder at a movie theatre. She
remained with $126.00. How much money did she spend at the movie theatre?

Answers

Answer:

13/20

Step-by-step explanation:

chamge the denominator to the same

What value of x makes the equation 4(5 - 7x) = 6 - 12x true?
Record your answer in the boxes below.

Answers

Answer:

4(5 - 7x) = 6 - 12

20-28x=6-12x

Subtract 20 from both sides

20-28x-20=6-12x-20

Simplify

-28x=-12x-14

Add 12x to both sides

-28+12x=-12x=-12x-14+12x

Simplify

-16x=-14

Divide both sides by -16

-16/-16 = -14/-16

Anw

7/8= 0.875

The weight of a mandarin orange is about 6 ounces. A basket that weighs 4 ounces will hold m mandarin oranges, the total weight is 70 ounces. Which equation represents the basket of oranges?
4 + 6m = 70
6 + 4m = 70
70 + 4m = 6
70 + 6m = 4

Answers

Answer:

The answer is A.) 4+6m=70

Step-by-step explanation:

Because I just got it right 2020 (MARK ME THE BRAINLIEST) --(MY GRANDDADDY IS A MATH MAJOR TRUST ME ON THIS ONE)

Answer:

a

Step-by-step explanation:

edge

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