For the functions f(x)=−7x2−x and g(x)=9x2−4x, find (f−g)(x) and (f−g)(1).

Answers

Answer 1

Step-by-step explanation:

f(x) = -7x² - x

g(x) = 9x² - 4x

(f - g)(x) = (-7x² - x) - (9x² - 4x)

(f - g)(x) = (-7x² - 9x²) + (-x + 4x)

(f - g)(x) = -16x² + 3x

(f - g)(1) = -16(1)² + 3(1)

(f - g)(1) = -16.1 + 3

(f - g)(1) = -16 + 3

(f - g)(1) = -13


Related Questions

A sum of money is shared among Ben, jack, and Sarah in the ratio 6:8:10. If Sarah receives $50 how much does Ben receive?

Answers

Step-by-step explanation:

Sarah receives $50 in ratio 10

if 10÷2=5

$50÷2=25

hence 6=1

1=x Cross Multiply

6x÷6 = 1÷6

x = 0.1666…

Hence Ben gets ($50÷2+{0.1666…})

$25+0.166… = $25.166…

work out the value of 35-3×9​

Answers

Answer:

[tex]35 - 3 \times 9 \\ = > 35 \: - 27 \\ = > 08[/tex]

hope helpful <3

Answer:

8

Step-by-step explanation:

the most important thing to remember here is the priority, multiplication  before substraction

35 - 3 * 9 = 35 - 27 = 8

How to write the value of 17 tens in standard form

Answers

170= one hundred and seventy

-5x=5 solve for x plssss help

Answers

Answer:

x=-1

Step-by-step explanation:

-5x=5

-x=1

x=-1

or solve this way

-5x=5

5x=-5

x=-1

[tex] \Huge\begin{gathered} {\underline{\boxed{ \mathcal{\purple{Answer}}}}}\end{gathered}[/tex]

[tex]{{ \large{ \orange{ \rm{{➥}}}}}} \rm \large \: \:5x \: = \: 5[/tex]

[tex]{{ \large{ \orange{ \rm{{➥}}}}}} \rm \large \: \:x \: = \: \cancel\frac{5}{-5} \\[/tex]

[tex]{{ \large{ \orange{ \rm{{➥}}}}}} \rm \large \: \:x \: = \: -1[/tex]

what are the names of four coplanar points

Answers

Answer:

the answer is Points P, M, F, and C are coplanar.

Step-by-step explanation:

I hope this helps

A restaurant wants to test a new in-store marketing scheme in a small number of stores before rolling it out nationwide. The new ad promotes a premium drink that they want to increase the sales of. 20 locations are chosen at random and the number of drinks sold are recorded for 2 months before the new ad campaign and 2 months after. The 90% confidence interval to estimate the true average difference in nationwide sales quantity before the ad campaign and after is (3.96, 28.79). Which of the following is the appropriate conclusion?
1) We are certain the average difference in sales quantity between after the ad campaign to before for all stores is between -3.83 and 1.83.
2) We are 95% confident that the difference between the average sales after the ad campaign and the average sales before the ad campaign is between-3.83 and 1.83.
3) The proportion of all stores that had a difference in sales between after the ad campaign to before is 95%.
4) We are 95% confident that the average difference in the sales quantity after to before of the stores sampled is between -3.83 and 1.83.

Answers

Answer:

2 or 4

Step-by-step explanation:

Help this is due today!!!!

Answers

The first one

Its the first one, hope u pass lol



Answer:

The second option: 3.5x+685[tex]\leq \\[/tex]85

Step-by-step explanation:

The addition fee is 6 meaning adding not subtracting. Cancel out the first and last one. Then, it says without going over. Meaning it could equal exactly $85. Which means [tex]\leq[/tex]. So it would be the second option.

3^8*__^8 = 12^__ Please help!!!!! I need urgent help!! Please!! I'll give you brainliest!!!!

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today :DD. I hope you are having a nice day.

So based on the question we need to do two steps, Rules of Exponents, and Solving. I'll go ahead and start with Exponential Rules first.

Rules of Exponents

The rules of exponents are simple, they boil down to a few things at this level of math:

+ To Multiply Exponents, we can add the Exponents of the Bases.

(Example: [tex]x^{2}*x^{3}=x^{5}[/tex])

+ To Divide Exponents, we need to subtract the Exponents of the Bases.

(Example: [tex]\frac{x^{5} }{x^3}=x^2[/tex])

Now that we know that, we can solve for the equation.

Solving

So, we need to solve for the blanks in this equation:

[tex]3^8*x^8=12^y[/tex]

**Where x and y are unknown.

So, first we know that for the multiplication of exponents, we need to add the exponent, so with that we know that it has to be 8 giving us our y.

Second of all, we know to multiple and solve for x we need to divide 12 by 3.

After doing that, and using basic math, we get x is equal to 4.

We can check our answers by inserting what we found into the equation:

[tex]3^8*4^8=12^{8}\\\\429981696=429981696[/tex]

Therefore, the answers are:

First blank is equal to 4, and the second blank is equal to 8.

We've checked our answers and they are correct!

Cheers!

What does 312,819 round to, to the nearest ten thousand?

Answers

Answer:

310,000

Step-by-step explanation:

6. Light travels about 180 million kilometers in 10 minutes. How far des trave
minute? How far does it travel in 1 second? Show your reasoning,
from Unit 2, Lesson 9.)
260 Student Edition
Grates in KM

Answers

Answer:

The light travels distance in 1 minute=18 million kilometers

The light travels distance in 1 second=0.3 million kilometers

Step-by-step explanation:

We are given that

Light travels total distance in 10 minutes=180 million kilometers

We have to find the distance travels by light in 1 minute and in 1 seconds.

By unitary method

Distance travel by light in 1 min=million kilometers=18 million kilometers

Distance travel by light in 1 min=18 million kilometers

We know that 1 minute=60 seconds

In 60 seconds, light travels distance =18 million kilometers

In 1 second, light travels distance = million kilometers

Hence, the light travels distance in 1 minute=18 million kilometers

The light travels distance in 1 second=0.3 million kilometers

Hope this helps, have a nice day/night! :D

HELP ASAP WILL MARK BRAINLIEST PLEASE!!

Express your answers in simplest form. An isosceles triangle has a base with a measure of u cm. If the triangle has a perimeter of 16 cm, what is the measure of one of its legs in terms of u?

Answers

Please see the picture below
Side = 8 - u / 2

The angles of a triangle add up to 180 degrees.
The second angle is 25 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees)

Answers

Hi 848384 .*+ 747473772646362

You have 1000000 small cubes.

Each cube measures 1 inch on a side.

If you arranged the cubes on the floor to make a square, what would be the length of each side?

Answers

Answer:

1000 in

Step-by-step explanation:

Given

The dimension of the small cube is 1\ in.1 in.

No of the cubes is 10^6106

If the small cubes are arranged on the floor

The area of the cubes is

\Rightarrow 10^6\times 1^2\ in.^2⇒106×12 in.2

Given the figure below, find the values of x and z.

Answers

Answer:

x=5, z=107

Step-by-step explanation:

z=107 (vert opp angles)

   z+13x+8=180 (adj angles on a str line)

107+13x+8=180

    13x+115=180

           13x=180-115

                =65

              x=65÷13

                =5

What's the increasing & decreasing interval of f(x)=1/2|x+7|?

Answers

Answer:

Increasing interval is for all values of x that the function is defined by, in other words x is greater or equal to 0.

And there are not decreasing intervals.

Increasing interval is when the slope of the tangent at the function is positive.

Decreasing interval is when the slope of the tangent at the function is negative.

II. Find the mean, media and mode of each set of data.

1. 12, 12, 14, 16, 18, 20

2. 80, 83, 82, 85, 87, 93, 83, 85, 88, 80

3. 125, 100, 150, 125, 175

Answers

Answer:

1. Mean = 15.33

  Median = 15

  Mode = 12

2. Mean = 84.6

   Median = 84

   Mode = 80, 83, 85

3. Mean = 135

   Median = 125

   Mode = 125

Step-by-step explanation:

Hope it helps:)

I. Mean = Sum of all observations / No. of observations

=> 12 + 12 + 14 + 16 + 18 + 20 / 6

=> 92 / 6

= 15.33333.....

= 15.3

Mode = 12

Because 12 is occurring most frequently.

Median

Step 1 => Arrange the values in ascending order.

Step 2 => Then the middle observation will be the median of the data.

Here we will get 2 numbers as the median but since it is not applicable we will use another method.

12, 12, 14, 16, 18, 20

Find average of 14 and 16

14 + 16 / 2

30 / 2 = 15

Therefore Median of the data is 15.

The answers to other 2 question are there in the image attached.

How many different four-digit numbers can be formed with the numbers 7; 4; 5; 1; 2; 9; and 8?

Answers

Answer:

I believe it's 2401.

Step-by-step explanation:

7 x 7 x 7 x 7 = 2401

Answer:

2 answers.

Step-by-step explanation:

ANSWER 1: With Repetition

Numbers: 1,2,4,5,7,8

There are 4 digits __ __ __ __

1st digit can be filled by any of the 6 numbers.

Similarly 2nd, 3rd and 4th digits.

Hence each digit will have 6 possibilities.

Therefore no.of 4 digit numbers that can be formed are 6 x 6 x 6 x 6 = 1296

ANSWER 2: Without Repetition

4 digits __ __ __ __

Now the first digit can be filled by any of the six numbers. Therefore there are 6 possibilities

The second digit will have only 5 possibilities as one of the numbers gets used up by the 1st digit.

Similarly the 3rd and 4th digits will have 4 and 3 possibilities respectively.

Therefore no.of 4 digit numbers that can be formed are 6 x 5 x 4 x 3 = 360

HELP PLEASE!
I need the answer please! ​

Answers

Answer:

The triangles are similar in that the smaller triangle was dilated by a scale factor of 1/4 which means that the length of the missing side is 20m

Step-by-step explanation:

5.
Are the graphs of the lines in the pair parallel? Explain.

y = 3/7 + 11
–3x + 7y = 13

A. No, since the slopes are different.

B. No, since the y-intercepts are different.

C. Yes, since the slopes are the same and the y-intercepts are the same.

D. Yes, since the slopes are the same and the y-intercepts are different.

Answers

Answer:

D. Yes, since the slopes are the same and the y-intercepts are different.

Step-by-step explanation:

yes because both line have a slope of .857/2

...................................................................................................................................................

yes; both have a slope of 3/7

...................................................................................................................................................

Yes. They have the same slope.

The width of a rectangular painting is 3 in. less than the length. The area of the painting is 40 in ^2 .Find the length and width.

Answers

Answer:

Mark me as brainlist

Step-by-step explanation:

a) (h + 5)(2h + 8) is the expression for the combined area of the painting and frame

b) The combined area when h = 12 is 544 square inches

c) The combined area when h = 15 is 760 square inches

Solution:

Given that,

A frame that is 2.5 inches wide goes around the painting

The frame will go around all 4 sides of the painting.

That means that the length of each side of the painting will increase by 2.5 inches

Therefore,

The height of painting and frame is:

h = h + 2.5 + 2.5

h = h + 5

(2.5  inches on the top and the bottom)

Also given that,

Width of a rectangular painting is 3 inches more than twice the height

w = 3 + 2h

Now the width of painting and frame is:

w = 3 + 2h + 2.5 + 2.5

(Again, 2.5 inches on the top and the bottom)

w = 2h + 8

Thus the combined area of the painting and frame is:

B) Substitute h = 12 inches

Thus the combined area when h = 12 is 544 square inches

C) Substitute h = 15 inches

Thus combined area when h = 15 is 760 square inches

find a polynomial of degree 4 that has integer coefficients and zeros 3i and 4 multiplicity 2

Answers

Answer:

f(x) = x⁴ - 8x³ + 25x² - 72x + 144

Step-by-step explanation:

f(x) = (x-4)²(x+3i)(x-3i)

     = (x²-8x+16)(x²+9)

     = x⁴ - 8x³ + 25x² - 72x + 144

2/3(x-6)=6 what value does x have to be to get 6

Answers

Answer:

The X would have to be 12!

Step-by-step explanation:

Because 2/3 is 6, 6 x 2 = 12 - 6 = 6

Answer:

15

Step-by-step explanation:

Using gemdas you would have to work in the parenthesis first and 15-6 is 9 multiplied by 2/3 is 6


2. How many solutions are there to a quadratic equation? (Hint: Give your answer as it
relates to the x-axis

Answers

2 i say what dl you think?

Heidi must pay 7.25% sales tax on her purchase of $25. Which expression can be used to calculate the amount of sales tax she must pay?

Answers

Answer: $1.81

Step-by-step explanation:

x=a(amount of money) * b(tax)

Solve this equation by completing the square 2 −12 + 36 = 44. Show your work. No other method will be accepted

Answers

Iḿ sorry I cannot be specific but it´s either  12.633 or 0.6.33

Sorry if it is not helpful

10.
Which of the following is the maximum value of the function y = −2x2 + 5?

A. 0

B. 5

C. 25

D. −2

Answers

Answer:

Step-by-step explanation:

Hello, the answer in this case would have to be 5 as the vertex of the lowest point of 0.

Therefore x would have to be 0.

Answer:

A. 0

Step-by-step explanation:

Use the formula  x = − b /2 a  to find the maximum and minimum.

( 0 , 5 )

Is p→q≡∼p∨q true or false?

Answers

Show that (p → q) ∨ (p → r) and p → (q ∨ r) are logically equivalent. By the definition of conditional statements on page 6, using the Com- mutativity Law, the hypothesis is equivalent to (q ∨ ¬p) ∨ (¬p ∨ r). ... This means that the conditional from the second-to-last column the last column is always true (T).

A piece of brass contains 1.66 grams of copper and 0.34 gram of
zinc. What is the mass of the piece of brass in grams?

Answers

Answer:

2.00 grams

Step-by-step explanation:

1.66 + 0.34 = 2.00

2.00 grams

what is 2:110 simplified​

Answers

Answer:

fraction way:1/55

0Step-by-step explanation:

Help me for 100 points yessir thanks you

Answers

Answer:

Step-by-step explanation:

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