f(x) = 9x^3 + 2x^2 - 5x + 4 and g(x) = 5x^3 - 7x + 4

What is f(x) - g(x)? Show all of your steps and write final answer in factored form.

Answers

Answer 1

Step-by-step explanation:

f(x) - g(x)

9x³+2x²-5x+4 - (5x³-7x+4)

9x³+2x²-5x+4 - 5x³+7x-4

4x³+2x²+2x

2x(2x²+x+1)


Related Questions

A tank can hold 40,000 gallons of water. If 500 gallons of water are
used each day, write the equation that represents the amount of water
in the tank x days after it is full.

Answers

Answer:

25

Step-by-step explanation:

i’m not exactly sure what you are asking but it could be either of these two things

1) 40,000-500(x)
this is the equation you could use

or

2) the tank will be empty after 80 days
this is to solve the problem

to check your work
40,000=500(80)
40,000=40,000
this way it checks out

pls ayuda es para hoy mismo y es un examen

Answers

Answer:

-4

6x+29=5

6x=5-29

6x=-24

x=-4

 

Answer

es-4

Step-by-step explanation:

GIVING BRAINLY , THANKS, AND 5 STAR RATING what is the equation of the line in slope intercept form

Answers

Answer:

[tex]y=\frac{2}{-0.5} x[/tex]

Step-by-step explanation:

Since we know that the line starts at (0,0), it goes up by 2 and goes 0.5 to the left. I hope this was helpful & if it is correct.

The axis of symmetry of the graph of h is x = - 3. which ordered pair represents the additional point on the graph of h?​

Answers

Answer: (1,-5)

Step-by-step explanation:it’s the answer

At the end of a snow storm, Emily saw there was a lot of snow on her front lawn. The
temperature increased and the snow began to melt at a steady rate. There was a depth
of 15 inches of snow on the lawn when the storm ended and after 4 hours, the depth
of snow was down to 12 inches. Write an equation for S, in terms of t, representing
the depth of snow on Emily's lawn, in inches, t hours after the snow stopped falling.
Answer: S
Submit Answer
Oh

Answers

Answer:

[tex]y = \frac{4}{3}x + 15[/tex]

Step-by-step explanation:

•First we must find out how many inches of snow melted so we can find the slope.

15 inches - 12 inches = 3 inches

•The snow melts 3 inches every 4 hours. This statement can be rewritten as:

[tex]\frac{4}{3}[/tex]

•We know that the snow started at 15 inches so that will be our y-int.

•Now we can start combining these terms to create an equation.

[tex]m = \frac{4}{3}[/tex]

[tex]b = 15[/tex]

•All we have to do is substitute these terms for the corresponding variables.

[tex]y = mx +b[/tex] →  [tex]y = \frac{4}{3}x + 15[/tex]

[tex]y = \frac{4}{3}x + 15[/tex]

Is f(x)=6x2-13 one to one function? Show with full process
Please answer my question and you will mark as Brainly

Answers

Answer:

It is not a function thats all I know sry

Step-by-step explanation:

Molly is making bags of trail mix for the hiking club. She will use 20 ounces of walnuts. 11.1 ounces of almonds, and 24.8 ounces of cashews. This amount makes 26 bags of trail mix. How many ounces are in each bag?

Answers

Answer:

2.15 ounces

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.

From the question we are told that these amounts make 26 bags.

The number of ounces that are in each bag is calculated as:

26 bags = 55.9 ounces

1 bag = x ounces

Cross Multiply

26 bags × x ounces = 1 bag × 55.9 ounces

x ounces = 1 bag × 55.9 ounces/26 bags

x ounces = 2.15 ounces

Therefore, there are 1.94 ounces in each bag

i will give brainliest 6th grade math

Answers

Answer:

A

Step-by-step explanation:

when you divide a fraction, you actually multiply by the reciprocal

Answer:

The correct answer is A, 4/5 x 5/4.

Step-by-step explanation:

I just remember to Keep Change Flip which means keep the first fraction exactly how it is, change the sign to a division sign, and flip the last fraction. So, go from 4/5 ÷ 4/5 = 4/5 x 5/4.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

Evaluate the expression (ab)² for a=4 and for b=3

Answers

Answer:

144

Step-by-step explanation:

(3 × 4)² = 144

You solve 3 × 4 first because parentheses come before exponents in PEMDAS.

.53х^2 – .6х^3
Standard form

Answers

well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)

On a coordinate plane, which axis is the horizontal axis, and which is the vertical axis? Is there a way to graph points that are not whole numbers? How do you think you can do that? Describe some real-world situations that remind you of the coordinate plane.

Answers

Answer:

Horizontal axis is X

Vertical Axis is Y

You can graph points that are not whole numbers, you just have to add more lines or estimate where the point may be

Battleship maybe? Or like the longitude and latitude on a map?

A map is a real-world example of a coordinate plane.

What is a coordinate plane?

A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.

On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.

To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.

A map is a real-world example of a coordinate plane.

Learn more about the coordinate planes:

https://brainly.com/question/24134413

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What is -19 equal to

Answers

Answer:

-19

Step-by-step explanation:

-1= 4 -5x can you please answer this

Answers

Answer:

x=1

Step-by-step explanation:

1*5 is 5 and 4 minus 5 is -1 hope this helped :)

what must be added to -3/8 to get 5/16 ?

Answers

Answer:

[tex]\frac{11}{16}[/tex]

Step-by-step explanation:

[tex]-\frac{3}{8}[/tex] + x = [tex]\frac{5}{16}[/tex]

x = [tex]\frac{5}{16}[/tex] - ( [tex]-\frac{3}{8}[/tex] ) = [tex]\frac{5}{16}[/tex] + [tex]\frac{3}{8}[/tex] = [tex]\frac{5 + 6}{16}[/tex] = [tex]\frac{11}{16}[/tex]

x = [tex]\frac{11}{16}[/tex]

-3/8=5/16

put x after -3/8 to find 5/16

-3/8+x=5/16

find x

move -3/8 to the other side

sign changes from -3/8 to 3/8

-3/8+3/8+x=5/16-3/8

x=5/16-3/8

find the common denominator which is 16

multiply by 2 for -3/8

(-3)(2)=-6

(8)(2)=16

x= 5/16--6/16

negative sign and negative sign= +positive sign

x= 5/16+6/16=11/16

answer: x=11/16

Find the value of x.

Answers

Answer:

-11

Step-by-step explanation:

I think you do 5x-24=8x+9

If z is inversely proportional to r, and z=32 when r=1.5, find r when z=8.

Answers

Answer:

votes

z is inversly proportional to r then z = k/r

zr = k

If z = 32 when r = 1.5

32(1.5) = k

48 = k

k = 48

If z = 8 then r = ?

8r = k

8r = 48

Divide to each side by 8.

r = 48/8

r = 6

I really need help with this problem?

Answers

Here is the solution to it

When asked about favorite Thanksgiving leftovers, 9% of the people said turkey and 7100 7 100 said mashed potatoes. Which food is more popular? How do you know?

Answers

Answer:

Turkey is more popular

Step-by-step explanation:

Turkey is more popular

From the given information:

We are being informed that 9% of the people said turkey;  &

7/100  said mashed potatoes.

The percentage of people that chose mashed potatoes = 7%

This implies that, in the given survey, the percentage of people who chose turkey is quite higher than those who chose mashed potatoes which makes turkey to be more popular.

What is 40% of 60????

Answers

The answer: 40% of 60 is 24

Answer:  40% of 60 = 24

(x - 3)^2/9 - (y - 2)^2/16 = 1 The vertices of the hyperbola are:
(-1, 2) and (7, 2)
(3, 6) and (3, -2)
(0, 2) and (6, 2)

Answers

The answer is B !
( 3,6) and ( 3,-2)

To determine the vertices of the hyperbola using the equation[tex](x - 3)^2/9 - (y - 2)^2/16 = 1,[/tex] we can identify the values of a and b, where a represents the distance from the center to the vertices along the x-axis, and b represents the distance from the center to the vertices along the y-axis Therefore the correct option is D.

The given equation can be written as ([tex]x - 3)^2/3^2 - (y - 2)^2/4^2 = 1[/tex], which indicates that [tex]a^2 = 9[/tex] and[tex]b^2 = 16[/tex]. Taking the square root of a^2 and b^2 yields a = 3 and b = 4. The center of the hyperbola is (3, 2), and since the vertices are symmetrical about the center along the x-axis, the vertices can be found by subtracting and adding a from the x-coordinate of the center.

Consequently, the vertices of the hyperbola are (0, 2) and (6, 2). In summary, the vertices of the given hyperbola are located at (0, 2) and (6, 2).

Therefore the correct option is  D

To know more about hyperbola visit:

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How do I solve this radical and then check all the solutions?

Answers

Answer:

This problem of equations involving surds can be solved by :

Firstly,square both sides of the equation to do away with the surd

(√x+3)²=(x-3)²

Next,we do away with the surd or let me put it as sign of square root and FOIL out the RHS

x+3=x²-6x+9

Rearranging leads to:

x²-6x-x+9-3=0

x²-7x+6=0 which factorises to:

(x-6)(x-1)=0

Finding the zeros leads to

x=6 or 1

We now conduct a test to see which value(s) of x satisfy the equation

√6+3=6-3

√9=3

3=3, so x=6 is true

Now for 1,

√1+3=1-3

√4 is not equal to -2

Therefore we conclude that x=6

pls help me do last question, step by step for understanding

Answers

Let's ignore the four corners for now.

Along the top, the length is 145 cm. Each tile is 25 mm, which is equivalent to 2.5 cm. So she'll need 145/2.5 = 58 tiles across the top

Similarly, she'll also need 58 tiles across the bottom as well because that length is also 145 cm.

Along the left side, she'll need 75/2.5 = 30 tiles and the right side is the same story.

So far we calculate 58+58+30+30 = 176 tiles

Add in the four corners to get 176+4 = 180 tiles total

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

A quicker method is to divide the perimeter (440 cm) over the side length of each tile (2.5 cm) and we get 440/2.5 = 176, which represents the number of tiles along the top, bottom, left and right sides. Again we're ignoring the corners. So we'll have to add them back in to get 176+4 = 180.

please help and thanks

Answers

0.5%

explanation:
there are 12 tiles in total. 6 green tiles and 6 is half of 12, half in a percentage is 50%, and to get the decimal form, move the decimal to right, so then your answer is 0.5%

Simplify the ratio 12:8 and write the ratio in all three forms.

Answers

Answer:

Step-by-step explanation:

1. Simplify

greatest common factor = 4

3:2

a. 3 to 2

b. 3:2

c. 3/2


A construction crew built
1/2
miles of road in
1/8 days.
What is the unit rate in miles per day?
Write your answer in simplest form.

Answers

Answer:

4 miles in 1 day

Step-by-step explanation: Multiply 8 by the numerator for how many miles of road; That is how many halves of miles are built in a single day. Simplify that and they build 4 miles of road a day.

Students need at least 75 hours of volunteer service to meet their graduation requirements. Sally has already completed 48 hours. Write and solve an inequality to determine how many more hours Sally needs to complete.

Answers

Answer:

48+x=75

Step-by-step explanation:

Subtract 48 from both sides. 75-48 is equal to 27. x=27

Answer:

x [tex]\geq[/tex] 27

Sally has to complete at least 27 more hours

Step-by-step explanation:

Let x represent the number of hours she will complete next

Since students need at least 75 hours, use a greater than or equal to sign.

The total number of hours that Sally will complete can be represented by

x + 48, since she has already done 48 hours.

Use the greater than or equal to sign, and put 75 on the other side:

x + 48 [tex]\geq[/tex] 75

Next, solve the inequality:

x + 48 [tex]\geq[/tex] 75

x [tex]\geq[/tex] 27

So, Sally has to complete at least 27 more hours.

does the graph represent a function? yes or no lol pls help

Answers

yes
it represents the function y= ((-1/2)•x )+ 4

Solve for the value of p.​

Answers

Answer:

p=13

Step-by-step explanation:

set 7p-1=90. Add 1 to 90 to get 7p=91. 91/7 equals 13

The answer is 13 because 7x13=91
91-1=90

Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?

Answers

Answer:

Andy gets 60

Polly gets 30

Phoebe gets 180

Desarrolla el siguiente cuadrado de binomio (2x³ - 6x)²

Answers

Answer:

[tex]4x^{6} - 24x^{4} + 36x^{2}[/tex]

Step-by-step explanation:

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