If f(x) = 3x+2 and g(x)=x2-9, find (f- g)(x).

Answer:Step-by-step explanation:Depending on whether or not the g(x) is x^2 or 2x, I have both ways.If g(x) is x^2 - 9...--> (3x^2 + 2) - (x^2 - 9) = 2x^2 + 11If g(x) is 2x...--> (3x^2 + 2) - (2x - 9) = 3x^2 - 2x + 11Hope this helps!

Mathematics High School

If f(x) = 3x²+2 and g(x)=x2-9, find (f- g)(x).

Answers

Answer 1

Answer:

Step-by-step explanation:

Depending on whether or not the g(x) is x^2 or 2x, I have both ways.

If g(x) is x^2 - 9...

--> (3x^2 + 2) - (x^2 - 9) = 2x^2 + 11

If g(x) is 2x...

--> (3x^2 + 2) - (2x - 9) = 3x^2 - 2x + 11

Hope this helps!

Related Questions

if the point D (8, -5) is reflected over the x-axis, the coordinates of D’ would be

Answers

The image of the point after the reflection across the x-axis is (8,5)

How to determine the image of the point?

The point is given as:

D = (8,-5)

The rule of reflection across the x-axis is:

(x,y) -> (x,-y)

So, we have:

D' = (8,5)

Hence, the image of the point after the reflection across the x-axis is (8,5)

Answers

Answer:-8.3

Step-by-step explanation:-8.3

Answer:

-8.3333333333

Step-by-step explanation:

First you want to start by multiplying (-2) * 3.

Next you want to multiply 1/2 * 1/3

Finally you add you answers together to get what you need.

Also this was very very very easy so go to summer school if you are this dum.

helppp plssss find the perimeter of the polygon all segments that appear to be tangent are tangent to the circle

Answers

answer : 70.6

steps :

I attached a picture

you see 9.6?

it's also 9.6 on the side that is 17.2

if you look at the picture I attached you'll know what I mean

on the side that is 15.7 it's

15.7 - 9.6 =

6.1 on the other part of the side that is 15.7

that means it's

6.1 on a part of the side that doesn't have a measurement

on the side that 17.2 it's

17.2 - 9.6 =

7.6 on the other side

that means it's also

7.6 on the side that's 19.6

19.6 - 7.6 = 12.0 on the side that's 19.6 so it's also

12.0 partly on the uncensored side

on the side that doesn't have a measurement it's

12.0 + 6.1 = 18.1

all sides are :

19.6+17.2+15.7+18.1=

70.6 <- which is the answer

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Scott has a rope 8 metres long. He says, “I need 9 pieces each 0.89 metres long.” Will Scott have enough ribbon? Explain your answer

Answers

Answer:

i don't know

Step-by-step explanation:

i don't know

Select the correct answer from the drop-down menu.
A classroom monitors chicken eggs in various temperatures. The table shows the class's recorded results. Using the data in the table, a conclusion is made by calculating probabilities related to a randomly selected egg.

Cool Room Temperature Warm Total
Hatched 5 16 21 42
Unhatched 18 10 4 32
Total 23 26 25 4
Based on the information, which statement about the eggs is correct?

Given the egg has
hatched
, the egg was kept warmer than room temperature.

Answers

The Eggs had Hatached

Given f (x) = -3 + 5, solve for x when f (x) = -4

Answers

The value of x when f(x) = -4 is 3

How to solve the function?

The function is given as:

f(x) = -3x + 5

When f(x) = -4, we have:

-4 = -3x + 5

Subtract 5 from both sides

-3x = -9

Divide both sides by -3

x = 3

Hence, the value of x when f(x) = -4 is 3

Answers

The equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Layna can paint a 350-square-foot room in 4 hours.It takes Bebe 7 hours to paint the same room.

Let t be the total time taken by both to paint.They are completing 1 job so the equation will be :

[tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex]

Further solving it we get;

7 t + 4 t = 28

11t = 28

t = 2.5 hours.

Therefore the equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.

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A company models its net income, in thousands of dollars, with the function f(x) = 9x² – 54x – 144, where x is the number of units of its product sold. How many units of its product does the company need to sell in order for the net income to equal $0?

Answers

Answer:

Step-by-step explanation:

Income = 0

so 0 = 9x^2 - 54x - 154

you can go straight to the Quadratic Formula to find the answer, or you can try factoring as follows ....

divide both sides of the equation by 9 to get

x^2 -6x -16 = 0 which easily factors to :

(x -8)(x+2) = 0 <===== this shows x = 8 or -2(throw out)

You flip a fair coin 25 times in the air. what is the relative frequency with which the coin will land on tails 12 of those times?

Answers

For the given experiment, the relative frequency of getting tails is:

R = (12/25)*100% =48%

How to get the relative frequency?

If we perform an experiment N times, and out of these N times, K times we get a given outcome (Where K is a number equal to or smaller than N).

The relative frequency of that particular outcome is given by the quotient between the number of times that we got that outcome and the total number of times that the experiment was performed.

In this case, the experiment is performed 25 times, and 12 times we get tails, then the relative frequency for getting tails is:

R = 12/25

If we want to write it in percentage form, then we get:

R = (12/25)*100% =48%

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x:20 = 5:x

Calculate the positive value of x

Answers

Answer:

Step-by-step explanation:

x/20= 5/x

x²= 100

x=√100

X=±10

x=10

Answer:

x = 10

Step-by-step explanation:

expressing the ratios in fractional form

[tex]\frac{x}{20}[/tex] = [tex]\frac{5}{x}[/tex] ( cross- multiply )

x² = 100 ( take square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

the positive solution is x = 10

(x - 6)². Multiply it and simplify it

Answers

Answer:

x^2-12x+36

Step-by-step explanation:

The first step in solving this equation is to expand the square which makes the equation (x-6)(x-6). Then you distribute the x to both parentheses which leaves you with x^2-6x, and then you distribute the 6 to both parentheses which gives you 6x+36. Then add both binomials which leaves you with x^2-12x+36. The reason it is +36 and not -36 is because you are multiplying a negative 6 by another negative 6.

3. Combine like terms and apply the
distributive property to create an
equivalent expression.
6y + 2(3x + 5) + 2y + 3 =
8r+ 3r² + 6r² + 2r + r=

Answers

Step-by-step explanation:

6y + 2(3x + 5) + 2y + 3 = 8r + 3r² + 6r² + 2r + r

6y + 6x + 10 + 2y + 3 = 9r² + 11r

8y + 6x + 13 = 9r² + 11r

Look at the following sequence.

54, 36, 24, 16, . . .

If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose “not geometric.”

Answers

Answer:

[tex]r \: = \: \boxed{ \bold{\frac{2}{3} }}[/tex]

Step-by-step explanation:

Calculate the ratio of the progression by dividing a term of it by the immediately preceding one.

[tex]r \: = \: \frac{36}{54} \\ \\ r \: = \: \frac{24}{36} \\ \\ r \: = \: \frac{16}{24} [/tex]

We simplify the fractions:

[tex]r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} [/tex]

Since the ratio is the same, that is the common ratio.

MissSpanish

Select the correct word to describe the function. the equation y = startfraction 5 x cubed over 8 endfraction represents function. the equation y = 6 + 0.25 ln x represents function. the equation y = startfraction 18 over 1 + 6 e superscript negative 0.25 x baseline endfraction represents function. the equation y = 5x3 + 8 represents function.

Answers

The functions and their descriptions are:

Polynomial: [tex]y = \frac{5x^3}{8}[/tex] and [tex]y = 5x^3 + 8[/tex]Logarithm: [tex]y = 6 + 0.25\ln(x)[/tex]Exponential [tex]y = \frac{18}{1 + 6e^{-0.25x}}[/tex]

How to describe the functions?

The functions are given as:

[tex]y = \frac{5x^3}{8}[/tex]

[tex]y = 6 + 0.25\ln(x)[/tex]

[tex]y = \frac{18}{1 + 6e^{-0.25x}}[/tex]

[tex]y = 5x^3 + 8[/tex]

The functions would be described based on the type of function they represent.

Functions that use the "ln" keyword are logarithmic functions, while functions that use the "e" keyword are exponential functions.

Answers

Answer:

The odds of an event happening depend on the situation so it is really difficult to tell what the odds would be.

Step-by-step explanation:

Use synthetic division to evaluate (3x2 − 6x + 3) ÷ (x − 1). 3x − 9 3x2 − 3x 3x − 3 3x2 − 6

Answers

Answer:

[tex]\frac{\left(3x^2-6x+3\right)}{\left(x-1\right)3x-93x^2-3x^3x-33x^2-6}: -\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]
[tex]\frac{3x^2-6x+3}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{-3\left(x^4+41x^2+x+2\right)}[/tex]
[tex]\frac{\left(x-1\right)^2}{-\left(x^4+41x^2+x+2\right)}[/tex]
[tex]-\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]

Answer:

3x-3

Step-by-step explanation:

use synthetic division

A airplane can hold 62 gallons of diesel.For each kilogram traveled, the airplane used 1/15 of kilograms of diesel. How far can the airplane go before it runs out of diesel?

Answers

The distance the airplane can travel before it runs out of diesel is 15.67.

What is the distance the plane can travel?

The first step is to convert gallon to kilogram

1 gallon = 3.79 kg

62 x 3.79 = 234.98 kg

Now, divide 234.98 by 15.: 234 . 98 / 15 = 15.67 kilogram

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please help!!!!!!!!!

Answers

no L work I ain’t helping uuuuuo

All the valid statements are,

⇒ Statement 1; By definition of parallel lines

⇒ Statement 3; Because of alternate interior angle theorem.

⇒ Statement 4; Because it is linear

⇒ Statement 5; because of substitution

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Mr. Hussey prove that the sum of interior angle of triangle is 180 degree.

Now, For all the statements al the correct postulate are,

⇒ Statement 1; By definition of parallel lines

⇒ Statement 3; Because of alternate interior angle theorem.

⇒ Statement 4; Because it is linear

⇒ Statement 5; because of substitution

Thus, All the valid statements are,

⇒ Statement 1; By definition of parallel lines

⇒ Statement 3; Because of alternate interior angle theorem.

⇒ Statement 4; Because it is linear

⇒ Statement 5; because of substitution

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After deducting 10% provident fund a married person draws Rs 40,500 salary per month and one month's salary as festival bonus, the person pays Rs 14,500 annually as the premium of his/her insurance. Calculate the annual income tax paid by the person.

Need correct answer

Answers

The annual income tax paid by the person is: $4,500.

Annual income tax

Using this formula

Annual income tax=[Salary÷(1-percentage deduction)]- Salary

Let plug in the formula

Annual income tax=[40,500÷(1-10%)]-40,500

Annual income tax=45,000-40,500

Annual income tax=4500

Therefore the annual income tax paid by the person is: $4,500.

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Help now!!!!!!

the scale factor of the larger of two similar rectangular prisms is 1/8. the surface area of the larger prism is 740 ft2. identify the surface area, rounded to the nearest tenth, of the smaller prism

Answers

Answer:

11.6 ft²

Step-by-step explanation:

We assume the 1/8 scale factor is the ratio of the linear dimensions of the smaller of the prisms to the larger. The ratio of areas will be the square of the ratio of the linear dimensions.

The ratio of areas will be ...

smaller area / larger area = (scale factor)²

smaller area = (larger area)×(scale factor)² . . . multiply by the denominator

smaller area = (740 ft²) × (1/8)² = 11.5625 ft² . . . use given values

The surface area of the smaller prism is about 11.6 square feet.

what is the value of y in this triangle?

Answers

Answer:

26 degrees.

Step-by-step explanation:

The angles of triangles will always add up to 180 degrees.

The first angle is 50 degrees.

The second angle, is shown with a 76 degree angle next to it.

Since this is a 180 degree line, we can find the angle of the bottom right corner by doing 180 - 76. 180 - 76 is 104.

104 + 50 = 154 degrees.

The remaining 26 degrees is the answer to the value of y.

Which of the following statements are true of the hypotenuse of a right triangle?
Its length is the sum of the lengths of the other two sides.
It is one of the legs.
It is the longest side of a right triangle.
It is opposite the right angle.
It forms a right angle with an adjacent side.

Answers

Answer:

It is the longest side of a right triangle.

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer: 8.8

Step-by-step explanation:

Because [tex]\angle S \cong \angle S[/tex] by the reflexive property, we know that [tex]\triangle STU \sim \triangle SQR[/tex] by AA.

So, by the triangle proportionality theorem,

[tex]\frac{x}{5.3}=\frac{11.1}{6.7}\\x=(11.1/6.7)(5.3) \approx \boxed{8.8}[/tex]

Please Help!!!! Someone who actually knows how to do this, no guessers I only have one more attempt. I can’t figure out the answer and if I don’t get it right I won’t get my credit recovery. I already eliminated 2 answers.

Answers

Answer:

Step-by-step explanation:

A fundamental theorem of algebra, the degree of a polynomial is the maximum number of roots the polynomial has.
The degree of the polynomial s 4 so it has 4 roots.

help please ! will give brainle <3

Answers

Answer:

55 percent

Step-by-step explanation:

simply add all the teams you get a 1.00 turned to percent its a 100 percent probability

then simply add the team 6 7 and 8 you get .45 turned into percent is 45 percent

them subtract 100-45 you get 55 percent that a team not from River City will win

Solve for x:
-(x + 2.1) = -4.8 -0.9(-10x + 5) + 10x

Answers

Answer:

the answer is x=0.36. (-20x=-7.2) divided by -20 equals to x=.36

Does anyone know the answer to this ?

Answers

What if you divide it by 100?

what if you divide it by 10”, that should get the answer

Fill in the blank. using decimals write the number 348.562 in expanded form:

348.562 =

Answers

Answer / Step-by-step explanation:

(300.500+40.60+8.2)=348.562

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 57 feet, and the length of the other base is 52 feet. The height is 18 feet. What is the area of this section of the deck?

Answers

Answer:

Area of section is 981 square feet

Step-by-step explanation:

Given trapezoid with:

Bases 57 feet and 52 feet;Height 18 feet.

To find

Area of trapezoid

Solution

Equation of area:

A = (b₁ + b₂)h/2

Substitute values and calculate:

A = (57 + 52)*18/2 = 109*9 = 981 ft²

The diagonals of a trapezoid are 15 cm and 13 cm. The height is 12 cm. Find the area of the trapezoid.

Answers

Answer:

the area is 168

Step-by-step explanation:

the formula for trapezoids is a+b/2 multiplied by the height

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