Given functions f and g, Find f-g.
f(x)=6x-2, g(x)=9x-6

a)3x-4
b)-3x+4
c)-3x-8
d)15x-8

Answers

Answer 1

Answer:

b)-3x+4

Step-by-step explanation:

f(x)=6x-2, g(x)=9x-6

f - g means to subtract the two functions so:

f - g = (6x - 2) - (9x - 6)                

first, distribute the negative sign to (9x - 6)

f - g = 6x - 2 - 9x + 6

then, combine like terms:

f - g = -3x + 4


Related Questions

write the equation of a line that passes through the point ( -1, 5) and has a slope of -7

Answers

Answer:

[tex]y=-7x-2[/tex]

Step-by-step explanation:

We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

Let (-1, 5) be (x₁, y₁) and our slope m is -7. By substitution:

[tex]y-(5)=-7(x-(-1))[/tex]

Distribute:

[tex]y-5=- 7 x - 7[/tex]

Adding 5 to both sides gives us our equation:

[tex]y=-7x-2[/tex]

Yeshemi Yaurez went to the local sporting goods store, where he bought a fishing pole for $32.88,
a tackle box for $15.95, and some lures for $9179. If the state sales tax rate is 4 percent, what is
his total purchase price?

Answers

Add all the prices for your total, then multiply the total x .04, then add that amount to the price of all your items. That will be the total purchase price with sales tax. You can do it!

The ratio of 5 to 15

Answers

Answer:

the ratio of 5 to 15 is

1/3  hope i helped please check out my latest question i need help with homework

Step-by-step explanation:

its simplified

Which statement is always true

Answers

Answer:

No picture so I can’t answer the question

Step-by-step explanation:

(right person gets 44 points!!)


the freshman class is planning a carnival, the cost to rent a space in writers $350, to pay for the space and rides, each freshman must pay $.50 and $2 for each guest who is not a freshman, one hundred freshman plan to attend how many guests must attend in order to pay for the space and rides



A) no more than 150 guests
B) At least 300 guests
C) at least 140 guests
D) at least 150 guests

Answers

Answer:

I'm not 10)% sure but I believe it's A.

Step-by-step explanation:

Answer:

Answer C (Atleast 140 guests)

Step-by-step explanation:

First you have to add $2+0.50=$2.5 you have to divide $350 by $2.5 to get 140 guests

Surface Area of 40,40,40

Answers

Answer:

64000

Step-by-step explanation:

40×40×40

Multiply 40 and 40 to get 1600.

1600×40

Multiply 1600 and 40 to get 64000.

64000

Hellooooo so What is 22 / 52.8

Answers

0.41666667 just round if needed

The dot plot below shows the number of siblings each student in Gina's after-school program has.
Number of Siblings Each Student Has
::
5
6
2 3
4
Number of Siblings
The total number of students in Gina's after-school program is
The number of students who have 4 or more siblings is

Answers

4 is the answer lol....
The total number of students in Gina's after-school program is 15 students.The number of students who have 4 or more siblings is = 3+1 = 4

What is dot-plot?

A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis. These types of charts are used to graphically depict certain data trends or groupings.

According to the given data

The total number of students in Gina's after-school program is 15 students.

Now,

The number of students who have 4 or more siblings is = 3+1 = 4

Learn more about dot plot here:

https://brainly.com/question/12845469

#SPJ6

The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of: μ = 473 and a standard deviation of: σ = 28. According to the standard deviation rule, almost 0.15% of the students spent more than what amount of money on textbooks in a semester?

Answers

Answer:

0.15% of the students spent more than 557 on textbooks in a semester

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 473

Standard deviation = 28

According to the standard deviation rule, almost 0.15% of the students spent more than what amount of money on textbooks in a semester?

99.7% of the measures are within 3 standard deviations of the mean, so 100 - 99.7% = 0.3% are more than 3 standard deviations from the mean.

The normal distribution is symmetric, which means that 0.3%/2 = 0.15% spend less than 3 standard deviations below the mean, and 0.15% spend more than 3 standard deviations above the mean.

473 + 3*28 = 473 + 84 = 557

0.15% of the students spent more than 557 on textbooks in a semester

ashley is on a road trip. so far she has traveled 28.61% of the trip which is 101 miles. how many miles is the entire trip?

Answers

Answer:

Around 300 Miles

Step-by-step explanation:

Nots sure of the exact number. If 28% of the trip is 101 miles then 50% would be around 210 miles.

So the entire trip as a whole should be near 300 miles.

Hope this Helps!

:D

en la siguiente imagen cuál es la respuesta correcta

Answers

Answer:

2.5

Step-by-step explanation:

Convert the point-slope form to slope-intercept form. y - 5 = 3(x - 2)​

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

distribute on the right side of equation first

y - 5 = 3x - 6

now add 5 to each side

y = 3x - 1

Answer:

Step-by-step explanation:

y - 5 = 3x - 2

y = 3x + 3

How do I solve 9.85xs;s=4

Answers

Answer:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.85" was replaced by "(985/100)".

Bad syntax in Linear Equations

... V

(985/100)xs;s=4

Bad syntax in Linear Equations

........... V

(985/100)xs;s=4

Multiplication of variables in Linear Equations

........... V

985/100xs;s=4

Equation without an equal sign

............ V

985/100xs;s=4

Step-by-step explanation:

BRAINLIST PLEASE

Write the recursive and explicit formula for 10, 30, 90, 270...

Answers

you multiply the previous term by 3 each time

Answer:

Multiply by 3 each time

After 270 youll get 810 because i multiplied 270 by 3

The formula is  3 . 10 right? Correct me if im wrong.

Write 54/11 as a decimal

Answers

Answer:

4.909 (simplified a bit)

Step-by-step explanation:

you could use a calculator or use long division

just divide numerator by denominator :)

What multiplication equation is represented by this picture? Explain. ​

Answers

Answer:

Step-by-step explanation:

Each circle represents : [tex]\frac{3}{5}[/tex] and 5 circles

5 * [tex]\frac{3}{5}[/tex]

Answer

Step-by-step explanation:

is Each circle represents : 3/2 and 5 circles

1368⁄75 is approximately equal to what value

Answers

Answer:

Is there anything that we can choose an answer from?

Step-by-step explanation:

Help pls help pls I’ll mark u if ur right

Answers

Answer: 2 pizzas

Step-by-step explanation:

Answer:

3 whole pizzas:

2 pepperoni

1 cheese

Step-by-step explanation:

What we know:

Pepperoni: Abe and Becca

Cheese: Cam and Kim

Solve:

Abe wants 1/2 a pizza and Becca want [tex]\frac{2}{3}[/tex]'s of a pizza

I gave both fractions a common denominator of 6

New Fractions: Abe- 3/6 Becca- 4/6

I then added them together and got 1 1/6

I did the same thing with Cam and Kim (but with the denominator of 12)

New Fractions: Cam-6/12 Kim- 4/12

I then added them together and got 10/12

So, Abe and Becca needed 2 pizzas, and Cam and Kim needed 1/

Hope this helps!

Find the surface area of the regular pyramid

Answers

24ft^2 I think this is right :)

Help Please Math is so stressful

Answers

Answer:

A=-6

Step-by-step explanation:

Answer:

B, D, and E

Step-by-step explanation:

The city of Raleigh has 6000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 250 randomly selected registered voters was conducted. 100 said they'd vote for Brown, 141 said they'd vote for Feliz, and 9 were undecided. Describe the population actually represented by this survey.

Answers

Answer:

[tex]Brown = 2400[/tex]

[tex]Feliz = 3384[/tex]

[tex]Undecided = 216[/tex]

Step-by-step explanation:

Given

[tex]N = 6000[/tex] -- population

[tex]n = 250[/tex] -- sample

From the sample, the proportions are:

[tex]B = 100[/tex] -- Brown

[tex]F=141[/tex] -- Feliz

[tex]U = 9[/tex] -- undecided

Required

Describe the actual population

The actual is calculated using:

[tex]Actual = \frac{p}{n} * N[/tex]

So, for Brown

[tex]Brown = \frac{100}{250} *6000[/tex]

[tex]Brown = \frac{100*6000}{250}[/tex]

[tex]Brown = \frac{600000}{250}[/tex]

[tex]Brown = 2400[/tex]

For Feliz

[tex]Feliz = \frac{141}{250} * 6000[/tex]

[tex]Feliz = \frac{141* 6000}{250}[/tex]

[tex]Feliz = \frac{846000}{250}[/tex]

[tex]Feliz = 3384[/tex]

For undecided

[tex]Undecided = \frac{9}{250}*6000[/tex]

[tex]Undecided = \frac{9*6000}{250}[/tex]

[tex]Undecided = \frac{54000}{250}[/tex]

[tex]Undecided = 216[/tex]

evaluate the expression 4/5-2/3

Answers

Answer:

2/15

Step-by-step explanation:

Find the LCM which is 15. Multiply 4/5 by 3 to get the numerator 15 and multiply 5 to 2/3 to get the numerator 15.

12/15-10/15=2/15

Hope this helps. Pls give brainliest.

What is the missing constant term in the perfect square that starts with x^2 + 10z

Answers

Answer:

25

Step-by-step explanation:

i think you mean +10x

but (x+a)^2 = x^2 + 2ax + a^2

2ax = 10x

ax = 5x

a = 5

so (x+5)^2 = x^2+10x+25

2) Find the volume of the following cube:
511
5.ft
5.11
A.
B
O 25 ft.
15 ft.
O 5 ft.
125 ft.
C.
D

Answers

Answer:

A

Step-by-step explanation:

I think that is A.......

x/15 = 4
What does X equal?

Answers

Your answer would be 60, you can multiply 15 by 4 to get that answer. If you plug in 60 for x it will work

Answer:

60

Step-by-step explanation:

x/15=4

This can also be written as:

x÷15=4

Multiply each side by 15 to isolate x

x=4(15)

solve.

x=60

Check:

60/15=460÷15=44=4

Help me plssssssssssss

Answers

Answer:

6

Step-by-step explanation:

6 is the answer

I WILL GIVE BRAINLY What will be the surface area of the figure given below (in square feet)? Choose the correct option.

Answers

Answer:

145

Step-by-step explanation:

Each triangular side is 30ft

bottom is a 5*5 so it 25ft

30*4(#of sides)=120

120+25(bottom)=145

Answer:

I will give you the easy explanation here, go down there though to get a more complexed explanation and answer. Seeing it is a triangle, you can not multiply the 12 by 5. You have to multiply it by 2.5 because it dips in (because it's a triangle). Now you multiply the 5x5 to get 25. Now we have 25 for the base and 30 for each side. 30x4 to represent each side and add 25 for the base to get 145 as the final answer.

Step-by-step explanation:

Ok, they made this really easy with the 5's. You multiply the 5 by the 5 to get 25 in which the 12 there is about half of that, that made things really easy. Since the 12 goes to the middle that means that we can take what is from the middle to the side removing the half there getting you -2. Therefore, 12-2=10. Meaning the center is 10.

Which shows the simplified form of the expression below? 90y^4-120y-360y^3+30y^2
Show all steps you took to get the answer

Answers

Answer:

[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]

Step-by-step explanation:

Given

[tex]90y^4-120y-360y^3+30y^2[/tex]

Required

Simplify

[tex]90y^4-120y-360y^3+30y^2[/tex]

Factor out 30y

[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 4 - 12y^2 + y)[/tex]

Reorder the expression

[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 12y^2 +y - 4 )[/tex]

Factorize

[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^2(y - 4) +(y - 4) )[/tex]

Combine the factors

[tex]90y^4-120y-360y^3+30y^2 = 30y((3y^2+1)(y - 4))[/tex]

Rewrite as:

[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]

Which of the following is an example of an irrational number? Question 5 options: A) 3∕4 B) C) D) 74∕99

Answers

Answer:

happy to help, but c and d are not included in your question

which one is the answer

Answers

Answer:

Two

Step-by-step explanation:

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