If f(x) = 3x^2-2x+4 and g(x) = 5x^2+6x-8, find (f-g)(x)

Answers

Answer 1

Answer:

-2x^2-8x+12

Step-by-step explanation:

f(x) = 3x^2-2x+4

g(x) = 5x^2+6x-8

(f-g)(x)= 3x^2-2x+4 -(5x^2+6x-8)

Distribute the minus sign

(f-g)(x)= 3x^2-2x+4 -5x^2-6x+8

Combine like terms

          =-2x^2-8x+12

Answer 2

Answer: (f+g)(x)=8x^2+4x-4

Step-by-step explanation:


Related Questions

Pls answer my question ty ;)

Answers

Answer:

x=11

Step-by-step explanation:

5x+7=62

5x=62-7

5x=55

x=11

Plz Help...............I’ll give you 50 pts


1. Essential Question How do you use what you know about absolute value to add integers?

2. Reasoning How can you tell the sign of the sum of a positive and negative integer without doing any calculations?

3. Model with Math How would you use a number line to determine the sum of two negative integers?
Do You Know How?

4. Sarah bought a bike that cost $260. She had a coupon that was worth $55 off the cost of any bike. Use the expression 260 + (-55) to find how much Sarah paid for her bike.

5. A shark is swimming 60 feet below the surface of the ocean. There is a fish that is 25 feet deeper in the water. Use the expression (-60) + (-25) to describe the fish’s location relative to the surface of the ocean.
60 feet
25 feet

6. The high temperature one day was 30°F. Then the temperature dropped 23 degrees during the night. Does the expression 30 + (-23) represent the temperature at night? Explain.

Answers

Answer:

1) I know that if the two integers have the same sign: Add their absolute values and give the answer the same sign as the two original integers. Also, I know that If the two integers have different signs: Subtract the lesser absolute value from the greater absolute value.

2) To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero.

3) First, draw a number line. Then, find the location of the first integer on the number line. Next, if the second integer is positive, move that many units to the right from the location of the first integer. If the second integer is negative, move that many units to the left from the location of the first integer.

4) 205 dollars

5) The fish’s location relative to the surface of the ocean is -85

6) Honestly, I'm not so sure about this now, but I believe yes.

Step-by-step explanation:

there are a lot of resources, here on this app, that i used to help answer your question. If I helped, it would be nice if you rated this brainliest, give 5 stars, and the 50 points :)

1) I know that if the two integers have the same sign: Add their absolute values and give the answer the same sign as the two original integers. Also, I know that If the two integers have different signs: Subtract the lesser absolute value from the greater absolute value.

2) To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero.

3) First, draw a number line. Then, find the location of the first integer on the number line. Next, if the second integer is positive, move that many units to the right from the location of the first integer. If the second integer is negative, move that many units to the left from the location of the first integer.

4) $205

5) The fish’s location relative to the surface of the ocean is -85 or -25 if the fish is 25 feet deeper from surface of ocean

6) Yes if both the temperatures are in Degree Fahrenheit

please click thanks and mark brainliest if you like :)

if f(x)= 5x + 4 and g(x) = 1/2x

find ,
a) fg(5)

Answers

Answer:

f(g(5)) = 16.5

Step-by-step explanation:

To calculate f(g(5)), evaluate g(5) then substitute the value obtained into f(x)

g(5) = [tex]\frac{1}{2}[/tex] × 5 = 2.5 , then

f(2.5) = 5(2.5) + 4 = 12.5 + 4 = 16.5

Answer: fg(5) = 16.5

Explanation:

g(5) = 1/2 × 5

= 2.5

f(2.5) = 5(2.5) + 4

= 12.5 + 4

= 16.5

Must click thanks and mark brainliest

-n +(-3) + 3n +5
Help would be appreciated!

Ueowbfkwjdbdbdjd

Answers

Answer:

2n+2

Step-by-step explanation:

-n -3 + 3n +5

Combine like terms

-n +3n      -3 +5

2n             +2

Answer:

2n+2

Step-by-step explanation:

Choose a value for n that will make the sum negative.
15 + n

Answers

Answer:

n > -15

Step-by-step explanation:

15 + n

15 + -16 (at least)

n = -1

This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.

n = d + 74

The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?

Answers

answer: n=90

please mark brainliest

Convert 1 3/4 into a improper fraction.

Answers

Answer:

the answer must be 7/4 because

Step-by-step explanation:

1 3/4 4×1+3=7

What is the most direct use of a compass in geometric constructions?

A.
to draw congruent angles

B.
to draw arcs of a given size

C.
to draw perpendicular lines

D.
to draw straight lines

Answers

Answer:

B

Step-by-step explanation:

to draw arcs of a given size

Answer:

B. to draw arcs of a given size.

Step-by-step explanation:

its correct on plato :)

Create a system of equations that includes one linear equation and one quadratic equation.Part 1. Show all work in solving your system of equations algebraically.

Part 2. Graph your system of equations and show the solution graphically to verify your solution.

Answers

Answer:

The simplest system:

y = xy = x²

Solve by eliminating y:

x² = xx(x - 1) = 0x₁ = 0 x₂ = 1

Then the value of y:

y₁ = 0y₂ = 1

The graphical solution is attached

(0, 0), (1, 1)

Answer:

The simplest system:

y = x

y = x²

Solve by eliminating y:

x² = x

x(x - 1) = 0

x₁ = 0

x₂ = 1

Then the value of y:

y₁ = 0

y₂ = 1

The graphical solution is attached

(0, 0), (1, 1)

Step-by-step explanation:

What is the value of x in the equation 3x - y = 18, when y = 27?

Answers

Answer:

Substitute in the y-value to the equation:

[tex]3x-y=18\\\\3x-27=18\\\\3x=18+27\\\\3x=45\\\\x=15[/tex]

Therefore, the value of x is 15.

Answer:

x=15

Step-by-step explanation:

3x - y = 18

Let y= 27

3x - 27 = 18

Add 27 to each side

3x-27+27 = 18+27

3x= 45

Divide each side by 3

3x/3 = 45/3

x = 15

A biology class has a total of 35 students. The number of females is 11 less than the number of males. How many males and how many females are in the class?

Answers

Answer:

23 males and 12 females

Step-by-step explanation:

x = # of females

y = # of males

x + y = 35

x + x + 11 = 35

2x + 11 =35    (SUBTRACT 11 FROM BOTH SIDES)

2x = 24          (DIVIDE BOTH SIDES BY 2)

x = 12 females

x + y =35

12 + y = 35     (SUBTRACT 12 FROM BOTH SIDES)

y = 23 males

23 males + 12 females = 35 students

Use the slope formula
(19,-16) (-7,15)

Answers

Answer:

-31/26

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

   = ( 15 - -16)/(-7 - 19)

   = ( 15+16)/(-7-19)

    = 31/ -26

-31/26

hello everyone! i need help with my geometry hw. pls help

Answers

Answer:

15 teachers on the trip

Step-by-step explanation:

Since it is c/t

The ratio is 14/3

How do we get from 14 to 70?

Multiply by 5

so multiply by 5 on 3 which is 15

So there are 15 teachers on the trip

Hope this helps!

(3,y) (1,4) m= -2 what is the value of y if the line through the two given points is to have indicated slope

Answers

Answer:

y=0

Step-by-step explanation:

The equation for the slope is

m = ( y2-y1)/(x2-x1)

-2 = (4-y)/(1-3)

-2 = (4-y)/-2

Multiply each side by -2

4 = 4-y

Subtract 4 from each side

4-4 = 4-y-4

0 = -y

0=y

find the surface of each figure. Round your answer to the nearest tenth.​

Answers

Answer:

282.7 ft^2

Step-by-step explanation:

Surface area=2*pi*r(r+h)

2*pi*3*(15)=282.7 ft^2

Hey there!

I believe your answer would be 282.7.

The formula should be 2πrh+2πr^2. So, 2·π·3·12+2·π·3^2.

Round the answer to the nearest tenth, and you will get 282.7!

Hope this helps!

Have a great day!

given the function below (g+h)(1) g(x)=x^2+4+2x h(x)=-3x+2

Answers

Answer:

Please see the attached picture

factorize. (x+y)) ^24x^2y^2​

Answers

Answer:

I guess this is the answer

Step-by-step explanation:

(x + y)²4x²y²

= [2xy(x + y)]²

= (2x²y²)²

Answer pls……………………….

Answers

Answer:

D

Step-by-step explanation:

x^2=y^3

Then x^6=y^9 but x^3z=z^9 so 3z=6, z=2

Answer:

z = 2

Step-by-step explanation:

[tex]x^{3z} = y^{9}\\\\x^{3z} =y^{3*3} \\\\x^{3z}= (y^{3})^{3}\\\\x^{3z}=(x^{2})^{3}\\\\x^{3z} = x^{6}[/tex]

As bases are same, compare the powers

3z = 6

z = 6/3

z = 2

Pls answer my question it is urgent

Answers

Answer: rs 400 and 500

Step-by-step explanation:

HELLLPPP 31 kilograms is the same as how many pounds? Hint: 1 kg = 2.2 lb Round your answer to the nearest tenth.​

Answers

Hi! I'm happy to help!

To solve this, we need to turn all the kilograms into pounds. We know that to turn 1 kg into a pound, you multiply the amount of kilograms by 2.2.

Knowing this, we can multiply our 31 kilograms by 2.2.

31×2.2=68.2

This means that 31 kilograms is equal to 68.2 pounds.

I hope this was helpful, keep learning! :D

Which of the following best describes the slope of the line below?
A. Zero
B. Negative
C. Positive
< PREVIOUS

Answers

Answer:

A. Zero.

Step-by-step explanation:

Technically, the correct answer is "undefined", as there will be infinite change in the slope amount. However, of all the given choices, Zero should be the best answer. However, if it is wrong, do ask your teacher, and state that undefined should be the answer choice, and that credit should be rewarded for such.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

D

Step-by-step explanation:

Facts:

Minimum - can be found as the least valuable number in the box plot

First Quartile - can be found in the first point of the box around

Median - middle number in the set

Third Quartile - can be found as the last point of the box

Maximum - can be found as the greatest valuable number in the box plot
•••••••••••••••••••••••••••••••••••••••••••••••
Answers:

Minimum - 13

First Quartile - 23

Median - 35

Third Quartile - 44

Maximum - 55

4x+1+8-x+5x-2=23 linear equations

Answers

Step-by-step explanation:

= 4x-x+5x+1+8-2

=8x+7

proved##

The shape on the left is translated to the shape on the right which statement about transformation is true?

Answers

When. Dbhdbhsbbsb send Sheba ebbs she be be she ehehhd rhehebjebd jehd Ivan’s shhdbdhs ehuehe while she dhhe e hehebehe

How many roots does the graphed polynomial function have?
A. 1
B. 2
C. 4.
D. 3 I’m

Answers

Answer:

3 roots

Step-by-step explanation:

The roots are the values of x on the x- axis where the graph crosses x- axis

The graph crosses the x- axis at 3 points, thus has 3 roots

A ladder reaches 6 m up a wall with its foot 2·4 m from the wall. A person standing under the ladder at a point 80 cm from its foot would be able to touch the ladder at a height of _____ m from the ground.​

Answers

Hey there! I'm happy to help!

We see that the ladder reaches a height of 6m from the ground while being 2.4 m from the wall. The ratio of the height to the length from the wall is 6:2.4 which can actually just simplify to 2.5 because 6m to is 2.4*2.5.

This person is 80 cm from the ladder's base. We just saw that you can take the distance from the wall (in this case, our wall is the human as the human is touching the height) and multiply it by 2.5 to find the height of the ladder at that specific point. So let's do that.

80*2.5= 200

We are looking for meters though. Since there are 100 centimeters in a meter, this is just going to be 2 meters.

Have a wonderful day! :D



The figure shown to the right is an isosceles triangle, and
R is the midpoint of PS.
The fig
labeled
A. Explain when it is appropriate to use the statement PT TS.
P
R
S
B. Explain when it is appropriate to use the statement PT = TS.

Answers

Answer:

We know that an isosceles triangle has 2 of its sides being equal

With R, being the midpoint of PS, we can say that

PR=RS

Noting that, with R as midpoint, we can conclude that RT is a straight line which divides angles TPR and TSR into 2 right angle triangles

Step-by-step explanation:

therefore angle at P is 45°. Angle at S also 45°

Therefore PT = TS

This is because T is 45 degrees as well as P which is also 45 degrees

angle in triangle PTS is 180 degrees

R is 90 degrees, P is 45 degrees and the whole of T is also 45 degrees(which has been split into 2)

Find the value of x for which (4/5)-4 X(4/5)-7 = (4/5)2x-1

Answers

Answer:

0.8 -4*0.8-7=0.8*2x-1

0.8-3.2-7=1.6x-1

0.8-10.2+1=1.6x

1.8-10.2=x1.6

-8.4=x 1.6

x= -8.4 / 1.6

x= - 5.25

A jar contains 30 red, 40 blue, and 50 white buttons. You pick one button at random , find the probability that it is blue.

Answers

Answer:

33.33%

Step-by-step explanation:

Probability is a percentage.  To determine probability you would add all of the buttons together to equal 120 buttons.  Then you would divide the number of blue buttons by that total or 40/120 which equals 0.333333; this number in a percentage is 33.3333% (or roughly 1/3).  

Answer:

33.33%

Step-by-step explanation:

To find the probability of blue buttons, divide the amount of blue buttons with the total buttons.

Blue Buttons/Total Buttons=> 40/30 + 40 + 50=> 40/120=> 1/3 = 33.33%

Hence, the probability of the button chosen is blue is 33.33%.

Determine the approximate length of AC
(please provide a good explanation, I want to understand this better!)
A: 7 Units
B: 7.07 Units
C: 5 Units
D: 1 Unit

Answers

Answer:

B:   7.07 units

Step-by-step explanation:

We see a radius of circle A labeled 3, so we know that the other radius of circle A that contains the side of the rectangle also measures 3 units. The side of the rectangle measures 2, so the part of the radius of circle A that is not part of the rectangle measures 1 unit. That is one leg of the right triangle.

Opposite sides of a rectangle are congruent, so the side of the rectangle opposite the side that measures 7 also measures 7. That is the other leg of the right triangle. Now we use the Pythagorean theorem to find AC which is the hypotenuse of the right triangle.

a² + b² = c²

1² + 7² = c²

1 + 49 = c²

c² = 50

c = √50

c = 7.07

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