f(x)=-9x^2-2x and g(x)=3x^2+6x-9, find (f-g)(x) and (f-g)(-4)

Answers

Answer 1

Answer:

[tex](f-g)(x) = -12x^{2} - 8x + 9[/tex]

(f-g)(-4) = -151

Step-by-step explanation:

To find f-g(x) we subtract the common terms. So

[tex]f(x) = -9x^{2} - 2x[/tex]

[tex]g(x) = 3x^{2} + 6x - 9[/tex]

(f-g)(x)

[tex](f-g)(x) = f(x) - g(x) = -9x^{2} - 2x - (3x^{2} + 6x - 9) = -9x^{2} - 2x - 3x^{2} - 6x + 9 = (-9 - 3)x^{2} + (-2 - 6)x + 9 = -12x^{2} - 8x + 9[/tex]

(f-g)(-4)

[tex](f-g)(x) = -12x^{2} - 8x + 9[/tex]

We replace x by -4

[tex](f-g)(-4) = -12(-4)^{2} - 8(4) + 9= -151[/tex]

(f-g)(-4) = -151


Related Questions

What does the statement |a|=5 mean?
A. a is equal to 5.
B. a is equal to −5.
C. a is 5 units from 0.
D. You cannot tell without knowing the value of a.

Answers

Answer:

The answer would be A

Step-by-step explanation:

|a| is absolute value so it means it equals 5

find the value of x
a) 1
b) 31
c) 24
d) 14

Answers

So the right answer is 14.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Please answer number six I will give brainliest thank you!

Answers

Answer:

The new median would be 15.

Step-by-step explanation:

This is because the median means the middle number so we can cross out 2 and 25. Then cross out 6 and 23. Then cross out 7 and 21. Next, cross out 14 and 20. Since there is only one number left, 15, that number is therefore the median.

Answer:

List the numbers in order including 25

2,6,7,14,15,20,21,23,25

choose the number in the middle

15 has 4 numbers to the left and right so it is in the middle so it is the median

hope this helps

Step-by-step explanation:

If nothing is known about p, 0.5 can be substituted for p in the sample-size formula for a population proportion. But when this is done, the resulting sample size may be larger than needed.
A) Under what circumstances will using p = 0.5 in the sample-size formula yield a sample size larger than needed to construct a confidence interval for p with a specified bound and a specified confidence level?
Choose the correct choice below.
O Whenever p is different from 0.5
O Only when p equals 0.5
O Only when p equals 1
O Only when p equals 0

Answers

Answer:

the second one

Step-by-step explanation:

-9x+7y=28 find the y intercept

Answers

In slope-intercept form, we have these values (y = mx + b):

m = slope

b = y-intercept

Change the equation from standard form to slope-intercept form.

-9x + 7y = 28

-9x + 9x + 7y = 28 + 9x

7y = 28 + 9x

7y/7 = 28/7 + 9x/7

y = 4 + 9/7x

y = 9/7x + 4

Therefore, the y-intercept is 4.

Best of Luck!

PLEASE ANSWER ASAP! I WILL GIVE BRAINLIEST ANSWER !!!

Rewrite the expression in the form 10^n

(10^1)^3

Answers

Answer: 10^3

Step-by-step explanation:

Since the problem is displayed at [tex](10^1)^3[/tex], you see that there is a parenthesis separating the [tex]10^1[/tex] and the 3. In long story short, if you see a parenthesis, if means to multiply.

[tex]10^1^*^3=10^3[/tex]

What is the third step when calculating the Mean Absolute Deviation (MAD)

Answers

Answer:

Step 3: Add those deviations together.

Step-by-step explanation:

how does the spread of waldens data set compare with the spread of drakes data set

Answers

Answer:

Walden’s data ranges from 2 to 4, and Drake’s data set ranges from 3 to 9. Drake’s data set has a greater spread than Walden’s data set.

Step-by-step explanation:

Which of the following are valid names for the triangle below? Check all that apply.

Answers

Answer:

the answer i think is DMR

Step-by-step explanation:

because u use the letters from the corners

4 (5 points)
3
Solve 3t - 6 = t - 2
a) -4
6
b) 2
9
O c) 1
12
d) -2.

Answers

t = 2

so the answer is b?

it shows many numbers.

2t = 4 [simplify]

divide both sides by 2

2t/2 = 4/2

so t = 2, but i see that theres a 9 on b? is that an accident?

There are 16 students who choose up sides to play soccer. How many different teams of 8 can be formed?
Select the best answer from the choices provided.
ОА
12870
B.
120
40320
D, 720

Answers

I think the correct answer is D :)
I think the correct answer is D

A tile is chosen at random from a bag containing the following tiles: 7 blue, 3 green, 6 yellow, and 4 purple. Let P be the probability distribution defined on the set {blue, green, yellow, purple}. Write each probability

Answers

Answer:

P of b=7/20

P of g=3/20

P of y=6/20=3/10

P of p=4/20=1/5.

Step-by-step explanation:

there are in total 20 tiles so S=20

there are 7 blue tiles so P=E/S=7/20

there are 3 green tiles so P=E/S=3/20

there are 6 yellow tiles so P=E/S=6/20=3/10.

there are 4 purple tiles so P=E/S=4/20=1/5

What expression is equivalent to 2(t-4)+1

Answers

Answer:2t-7

i just kinda solved it hehe

The (2t - 7) is the expression that is equivalent to (2(t-4)+1) and this can be determined by using the arithmetic operations.

Given :

Expression - 2(t - 4) + 1

The following steps can be used to evaluate the given expression:

Step 1 - Open the parenthesis in the given expression. Then multiply 2 by t and then multiply 2 by -4.

= 2t - 8 + 1

Step 2 - Now, subtract 8 from 1 in the above expression.

= 2t - 7

So, the (2t - 7) is the expression that is equivalent to (2(t-4)+1).

For more information, refer to the link given below:

https://brainly.com/question/2353072

please help me im stuck

Answers

Answer:

A. by adding an identical classroom and allowing students t use electric ans in it

Step-by-step explanation:

Because Fans are opposite to natural Air

formulate the quadratic function that contains the points (-2,1),(0,1)and (1,4)​

Answers

Answer:

  y = x^2 +2x +1

Step-by-step explanation:

Let's see how this works.

Two of the given points have the same y-value, so the axis of symmetry is located halfway between. If we translate the desired curve down 1 unit, those symmetrical values become zeros, and our function will look like ...

  f(x) = ax(x +2)

We want this to go through the third point, also translated down by 1 unit, so we have ...

  3 = a(1)(1+2) = 3a

That is, a=1, so f(x) = x(x+2) and translating that up 1 unit gives our desired function:

  y = x(x+2) +1

  y = x^2 +2x +1

_____

Using the quadratic regression function of a graphing calculator gives the same result.

_____

Comment on the solution approach

For arbitrary points, one would generally substitute them into the formula for  the function you want:

  y = ax^2 +bx +c

to get three equations in the parameters a, b, and c. These equations would be solved to find the desired coefficients. As noted elsewhere, one of the given points for this problem is the y-intercept (0, 1), so right away we know c = 1. ("c" is the y-intercept.)

That leaves two remaining equations in two unknowns (using the other two points).

Using the point (-2, 1), the equation is ...

  1 = a(-2)^2 +b(-2) +1   ⇒   4a - 2b = 0   ⇒   2a -b = 0

Using the point (1, 4), the equation is ...

  4 = a(1^2) +b(1) +1   ⇒   a +b = 3

Adding these gives 3a = 3, or a=1. Then substitution gives b=2, so the final equation is ...

  y = x^2 +2x +1

What is the first step in evaluating this expression?

15 + 20 ÷ (10 – 7) + 12

Answers

Answer:

33.67

Step-by-step explanation:

BODMAS (Bracket of Division Multiplication Addition Subtraction)

bracket then divide and so on

Answer:

33.67

Step-by-step explanation:

hope this helps have a wonderful day

Eager to finish studying, Maya mastered all 12 of her spelling words in 4/5 of an hour. At what rate did she master them

Answers

Step-by-step explanation:

4/5 of an hour = 48 min

Total words = 12

Rate = 48 ÷ 12 = 4

She mastered 1 word in 4 min

Answer:it’s 15

Step-by-step explanation:

In a clothing store, 55% of the customers buy a shirt, 25% of the customers
buy a pair of pants, and 20% of the customers buy both a shirt and a pair of
pants.
If a customer is chosen at random, what is the probability that he or she buys
a shirt or a pair of pants?
A. 0.225
B. 0.60
C. 0.30
D. 0.80

Answers

Answer:

s= the customer buy a shirt

p= the customer buy pants

[tex] p(s) = 0.55, p(p) = 0.25 , p(s \cap p) =0.20[/tex]

And we want to find this probability:

[tex] p(s \cup p) [/tex]

And we can use the definition of total probability and we have:

[tex] p(s \cup p) = p(s) +p(p) -p(s \cap p)[/tex]

And replacing we got:

[tex] p(s \cup p) = 0.55+0.25 -0.20 = 0.60[/tex]

And the best answer for this case is:

B. 0.60

Step-by-step explanation:

For this case we can define the following events:

s= the customer buy a shirt

p= the customer buy pants

And we have the following probabilities given:

[tex] p(s) = 0.55, p(p) = 0.25 , p(s \cap p) =0.20[/tex]

And we want to find this probability:

[tex] p(s \cup p) [/tex]

And we can use the definition of total probability and we have:

[tex] p(s \cup p) = p(s) +p(p) -p(s \cap p)[/tex]

And replacing we got:

[tex] p(s \cup p) = 0.55+0.25 -0.20 = 0.60[/tex]

And the best answer for this case is:

B. 0.60

Patel made a deposit into an account that earns 5%simple interest. After 10 years Patel had earned $1500 in interest. How much was Patel’s initial deposit?

Answers

Answer:

Patel’s initial deposit was $3000

Step-by-step explanation:

Given:

Simple interest (S.I.) = 5%

Time period (t) = 10 years

Interest earned (r) = $1500

To find: Patel’s initial deposit

Solution:

Simple interest is a method of calculating the interest charged on the principal, or original amount of a loan.

Let p denotes original amount of a loan

[tex]S.I.=\frac{p\times r\times t}{100}\\\Rightarrow 1500=\frac{p\times 5\times 10}{100}\\\Rightarrow p=\frac{1500\times 100}{5\times 10}\\=3000[/tex]

So, Patel’s initial deposit was $3000

Miguel brings 3 pies to a bake sale. He sells 1 3/8 in the first hour of the bake sale and 1 2/8 pies in the second hour of the bake sale. What fraction describes the total number of pies Miguel sells in the first two hours of the bake sale?

Answers

Answer:

2 5/8

Step-by-step explanation:

marking brainliest right away!!!!

Answers

Answer:

(-3,-1)

Step-by-step explanation:

When you graph it on a graphing paper, you can see that the graph touches it but barely

help me plssssss :(:

Answers

Answer:

C = 2*π*r

Step-by-step explanation:

When given the radius, we can multiply it by both pi and 2 to find the circumference of a circle.

Answer:

C=2πr

Step-by-step explanation:

C=2πr

A cone has a diameter of 6ft and a slant height of 19ft.

Answers

Answer:

19π

Step-by-step explanation:

Volume of the cone is πr^2 * h/3

r = 3

h = 19

3π * 19/3 = 19π

The expression above can also be written in the form a=, b=,c=. 3 6/5

Answers

Answer:

a = 3, b = 6, c = 5

Step-by-step explanation:

[tex] {3}^{ \frac{6}{5} } = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find : \\ a = 3 \: \: b = 6 \: \: c = 5 \\ [/tex]

There are three apple orchards. Each orchard has a different number of trees and apples.

Answers

Answer:

A. The #1 Seed

Step-by-step explanation

To find the answer you find the rate of one apple tree to # of apples. you do this by dividing the # of apples from the orchard by the apple trees and whichever has the highest rate of Apples to Trees is the answer which would be The #1 Seed.

When a principal amount, P, is invested at an annual interest rate, r, and compounded n times per

year, the amount accumulated in the account after t years can be found with the equation:

A = P(1 + r/n) ^nt

Javier invested $2,350 in a savings account for 5 years with a rate of 1.75% compounded every six

months. In this situation, what is n?

0.0175

5 6 2

Answers

Answer:

n =2

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

The money is compounded every 6 months.

n is the number of times that interest is compounded per year.

Each 6 months means 12/6 = twice a year. So n =2..

What is (GCD) of 24, 48 and 60?

Answers

Answer:

12

Step-by-step explanation:

What is the area of the shape below

Answers

Answer:

The area of the shape is [tex]A=886 \:cm^2[/tex].

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First  separate the composite shape into three simpler shapes, in this case two rectangles and  a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is [tex]A=34\cdot 16=544\:cm^2[/tex]

The area of the second rectangle is [tex]A=11\cdot19=209\: cm^2[/tex]

The area of a triangle is given by the formula [tex]A=\frac{1}{2} bh[/tex] where b is the base and h is the height of the triangle.

The area of the triangle is [tex]A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2[/tex]

Finally, add the areas of the simpler figures together to find the total area of the  composite figure.

[tex]A_{composite\:shape}=544+209+133=886 \:cm^2[/tex]

What’s the correct answer for this question?

Answers

Answer:

D = (x+6)² = 13

Step-by-step explanation:

In the attached file

(-6/5)x- 4 = -46

•23
•35
•-23
•-35



help help help

Answers

Answer:

35

Step-by-step explanation:

Equation:

(-6/5)x - 4 = -46

Add 4 on both sides:

(-6/5)x - 4 = -46

           +4     +4

(-6/5)x = -42

Multiply both sides by the reciprocal, or opposite:

-5/6[(-6/5)x] = (-42)-5/6

x = 35

Therefore, x is equal to 35.

Answer:

       x = 35

Step-by-step explanation:

Step  1  :  6/5 Simplify

Step  2  :

Rewriting the whole as an Equivalent Fraction

       

Adding fractions that have a common denominator

Step  3  

Rewriting the whole as an Equivalent Fraction

Answer:  x = 35

Hope this helps.

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