Let f(x)=3x + 5 and g(x) = 3x2 - x - 10. Find (f/g)(x) and state it’s domain

Answers

Answer 1

Answer:

9x²-3x-25, Domain is all real numbers

Step-by-step explanation:

f(g(x)) = 3(3x²-x-10)+5

= 9x²-3x-30+5

= 9x²-3x-25

Domain is all real numbers


Related Questions

john gave brandon five dollars and 13 cents now he has 25 dollars how much did he have

Answers

Answer:
Brandon originally had $19.87

Explanation:
To find out how much Brandon originally had we need to subtract 25 from 5.13.

25 - 5.13 = 19.87

So, he originally had $19.87.

Find the volume of the prism. PLS HELP

Answers

Answer:

90in^3

Step-by-step explanation:

v=w*h*l=3×5×6=90

90in^3 that’s the answer I just took the quiz and made a 100

Seven plus five times a
number is greater than or
equal to negative nine.

Answers

Answer:

The number -1 will give you more than -9

Step-by-step explanation:

5+7= 12 x -1= -12 more than -9

hope this helps!

The solution to the inequality will be x ≥ ( -16 / 5 ).

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given inequality is Seven plus five times a number is greater than or

equal to negative nine.

The inequality will be solved as below:-

7 + 5x ≥ -9

5x ≥ -16

x ≥ -16 / 5

Therefore, the solution to the inequality will be x ≥ ( -16 / 5 ).

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Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n

Answers

Answer:

0.25n>0.15n+3

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Since Purple taxi charges 0.25 per mile, the cost of using Purple taxi is:

0.25n  

Where n is the number of miles.

ABC Taxi charges $3 for pick-up and $0.15 per mile

So, the cost for using ABC taxi is equal to the fixed fee per pick up (3) , plus the cost per mile (0.15n)

3+0.15n

To find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi, the cost of a cab ride with purple taxi must be higher (>) than the cost of a cab ride with ABC taxi.

0.25n>0.15n+3  

Can u Please help me.

Answers

The answer is -3°c because 17-20= -3

Answer:

-3 degrees celcius

Step-by-step explanation:

To find the temperature at midnight, simply subtract the temperature change from the temperature at noon:

17 - 20 = -3

Therefore, it was -3 degrees at midnight.

Hope this helps :) Feel free to ask any questions!

The mileages of cars in a fleet of cars are normally distributed with a mean mileage of 52,000 miles and a standard deviation of 2,000 miles. What is the probability of randomly selecting a car with a mileage less than 52,000 miles?

Answers

Answer:

50%

Step-by-step explanation:

We have that the mean is 52000 miles (m) and the standard deviation is 2000 miles (sd), so we are asked:

P (x <52000)

P ((x - m) / sd <(52000 -52000) /2)

P (z <0)

If we look in the normal distribution table we have to:

P (x <52000) = 0.5

That is, the probability is of randomly selecting a car with a mileage less than 52,000 miles 50%

A small business employs 98 people. All

Answers

What’s the rest of the question

Help idk how to do it

Answers

Answer:

55

Step-by-step explanation:

The base angles of an isosceles triangle have the same measure

3x+40 = x+50

Subtract x from each side

3x+40-x = x+50-x

2x+40 = 50

Subtract 40 from each side

2x+40-40 = 50-40

2x = 10

Divide each side by 2

2x/2 = 10/2

x = 5

We want angle A

3x+40

3*5 +40

15+40

55

“Which expressions are equivalent to x + x + x + 2?”

Answers

Answer:

3x+2

Step-by-step explanation:

x+x+x=3x

Because there are three lots of x

You can’t add 2 to the x so 2 is going to be separate

Answer is

3x+2

ANSWER: 3x+2
You have 3 x’s and they are like terms so you can combine them. However, you cannot combine the 2 because it doesn’t have any terms next to it so it stays the same. Hope this helps!

The external angle of a regular polygon is 200 . How many sides does it have ? What is the measure of each interior angle? What is the total measure of its angles.

Answers

Answer:

An 18 sided shape.

Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. We find the answer = 18, an octadecagon

10 = 2 + a help meeeee

Answers

Answer:

8 = a help mee

btw variables cant have spaces

:)

Answer:

A=8

It is 8 because when you subtract 2 from 10, you get 8.

If you want to check your answer, 8 + 2 is 10

Step-by-step explanation:

Hope this helps (pls brainliest)

What is the product of -2.49 and 2.24?

Answers

Answer:

-5.5776

Step-by-step explanation:

-2.49 times 2.24 = -5.5776

Answer:

Hey!

Your answer is -5.5776!

Step-by-step explanation:

-2.49 times 2.24 = -5.5776

That is your solution!

HOPE THIS HELPS!!

I’ll fine you brainlist if you answer please answer it’s URGENT

Answers

Answer:

6, 0, 10

B

Step-by-step explanation:

Plug in the values of x into the equation to find the y coordinate. Then match the coordinates in the table to the graph.

Select the term that does NOT describe the triangle. Select all that apply

acute

Isosceles

Obtuse

Answers

This is an Isosceles triangle because as you can see in the photo the two sides are the same. An Isosceles triangle has two sides equal. Now look at the angles of triangle they’re 30 degrees and 30 degrees is an acute angle. Obtuse would be if it was greater than 90 degrees. So the term Obtuse would NOT describe this triangle! Hope this helps!

Acute is the term which does not describe the given triangle.

In the given triangle with sides 11, 11 and angles 30, 30, 120 degrees:

"Acute" is a not a valid term because all angles in the triangle (30, 30, and 120 degrees) are not less than 90 degrees.

"Isosceles" is a valid term because the triangle has two equal sides (11, 11).

"Obtuse" is  applicable because an obtuse triangle have one angle greater than 90 degrees, 120 degrees is greater then 90 degrees.

Therefore, "acute" is the term that does not describe the triangle.

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Which correctly describes a cross section of the cube below? Check all that apply.

A cross section parallel to the base is a square measuring 4 cm by 4 cm.
A cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm.
A cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm.

Answers

Answer:

check the first one only

Step-by-step explanation:

in a cube, no matter which side it is, there will never be a rectangle, it will all be squares

not exactly good at drawing but I drew out what the description looks like and hope you can somehow understand it better!

A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left with him?

Answers

Answer:

[tex]\frac{7}{40}[/tex]

Step-by-step explanation:

[tex]1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})[/tex]

[tex]1-\frac{33}{40}[/tex]

[tex]\frac{7}{40}=0.175[/tex]

Answer:

7/40 is still left with him.

Step-by-step explanation:

LCM 5,10,8 = 40

2/5 = (x8) = 16/40 = food

3/10 = (x4) = 12/40 = rent

1/8 = (x5) = 5/40 = other expenses.

16/40 +12/40 + 5/40 = 33/40

40/40 - 33/40 = 7/40

list the 6 matching student numbers you found.

Answers

Answer:

12, 16

Step-by-step explanation:

hope it helps

A researcher wanted to show that math test scores increased for students who attended extra study sessions for a particular school. The study sampled 5 honors students who attended the study session. Explain why this report is not reliable.

Answers

Answer:

This report is not reliable because:

A real increase could be proved with the sample of all the students who attended the study session, due to mustn't be many students (I believe the students regularly doesn't like the extra study sessions), where wouldn't just have honors students, but the regular students too, who probably would actually need increasing their math scores.

Step-by-step explanation:

To identify if a students population actually increased their math tests scores by a particular reason, the researcher should take a sample from the regular or bad students that attended to the extra session, or at least an equal sample with the same amount of good students and regular students ( or bad students), in this form he would compare the results in each individual and identify if it actually depended on the extra study sessions or from other reasons how study time in the house, learning disorders or others.

What are the coordinates of the vertex of the graph of the absolute value function h(x) = 3|x + 5| + 2? A) (5,-2) B) (-5,2) C) (5,2) D) (2,-5)

Answers

Answer:

B) Vertex = (-5, 2)

Step-by-step explanation:

Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction

We can find vertex by two methods:

1) GRAPH

We can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)

2) FORMULA

General form of equation of mod function is given by

y = a |x - h| + k

where Vertex = (h, k)

The given equation is

h(x) = 3 |x + 5| + 2

h(x) = 3 |x - (-5)| + 2

where h = -5 and k = 2

So the vertex is:

Vertex = (-5, 2)

Answer:

(–5, 2)

Step-by-step explanation:

Will give brainiest answer

Answers

Answer:

144 cm²

Step-by-step explanation:

for the triangle sides: 3 x 4 = 12 ((3 x 4/2)x 2)

for the front: 5 x 11 = 55

for the back: 3 x 11 = 33

for the base: 4 x 11 = 44

12 + 55 + 33 + 44 = 144

Answer:

144 units²

Step-by-step explanation:

We can see this shape is made of 2 shapes that we are familiar with 3 rectangle's and 2 triangles. In order to work out the surface of the prism we need to know how to work out the area of a rectangle and a triangle.

→ Area of triangle =  0.5 × Base × Height

→ Area of rectangle = Length × Width

First let's work out the area of the triangle and then double it to find the added area of the 2 triangle's

Area of triangle =  0.5 × Base × Height

→ Substitute in the values

Area of triangle =  0.5 × 4 × 3

→ Simplify

Area of triangle =  6

Then double this value to find the combined value of the 2 triangle's

6 × 2 = 12

Now the area of the large rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 5

→ Simplify

Area of rectangle =  55

Now the area of the medium rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 4

→ Simplify

Area of rectangle =  44

Now the area of the small rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 3

→ Simplify

Area of rectangle =  33

Now we add all the area's together,

33 + 44 + 55 + 12 = 144

The algebraic expression 6x - 4 can
be written as which of the
following?
The product of six and a number x
decreased by four
x to the sixth power decreased by four
Six times a number x less than four
four less than six

Answers

Answer:

Six times a number x less than four less than six

The product of six and a number x  decreased by four.

Given that,

The algebraic expression 6x - 4.

Based on the above information, the information is as follows:

Here 6x - 4 should be written like the product of x and the number x should be decreased by four.

Learn more: brainly.com/question/17429689

At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?
A. It is a function because at any given time the oven was exactly one temperature.
B. It is a function because the oven temperature was the same at different times.
C. It is not a function because at any given time the oven was exactly one
temperature.
D. It is not a function because the oven temperature was the same at different
times.

Answers

Answer:

i think its B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A function cannot have an x-value that produces more than y-value.

We can assume that the time is x, and the temperature is y.

At any time, you do not have more than one temperature.

What is the equation of the line that is perpendicular to the linear
graph of y= -2/3x+5 and passes through the point (0, -2)?

Answers

Answer:

y=3/2x-2

Step-by-step explanation:

gradient line 1= -2/3

perpendicular meaning gradients when multiplied should be -1

gradient line 2=3/2

y+2=3/2

x-0

y+2=3/2(x-0)

y+2=3/2x-0

y=3/2x-2

The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2 (1st option is correct)

What is slope?

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, a line is perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2)

The standard equation of a line is y = mx+c, where m is the slope of the line.

We know that, the slopes of the lines which are perpendicular to each other are negative reciprocal of each other,

Therefore, the slope of the asked line is 3/2.

Finding the c,

-2 = 3/2X0 + c

c = -2

Therefore, the equation will be,

y = 3x/2-2

Hence, The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2

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Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 392 meters

Answers

Answer:

the length is 98 meters and the width 98 meterss

Step-by-step explanation:

We have that the length is l and the width is w, we know that:

P = 2 * w + 2 * l

if we solve for it, we have:

l = P / 2 - w

Now, we know that the area is:

A = l * w

if we replace l, we are left with:

A = (P / 2 - w) * w

A = P * w / 2 - w ^ 2

we derive to know the maximum area and we equal 0 and we have:

A '= P / 2 - 2 * w

0 = P / 2 - 2 * w

w = P / 4

now for him:

l = P / 2 - P / 4

l = P / 4

Therefore, if we replace:

l = 392/4 = 98

w = 392/4 = 98

For the maximum area the length is 98 meters and the width 98 meterss

Which equation is equivalent to 2^4x = 8^x-3?

Answers

Answer:

x=-3

Step-by-step explanation:

2^4x = 8^x-3

writing 8 as 2^3

2^4x = 2^3^x-3

We know a^b^c = a^(b*c)

2^4x = 2^(2*(x-3))

2^4x = 2^(2x-6)

The bases are the same so the exponents are the same

4x = 2x-6

Subtract 2x from each side

4x-2x= 2x-6-2x

2x=- 6

Divide by 2

2x/2 = -6/2

x = -3


Can someone please help me on these 2 problems thank you Sm!:)

Answers

9: 140
Since 20% or 1/5 of the class played basket ball to find the whole you would multiply by 5 which gives you 140
11: a

Since it’s says and 5 you need to add 5 before you multiply by 6 ( it’s kinda hard to explain)

From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *

Answers

17 feet away from your house

if you have 5 red shirts, 4 blue shirts and 7 green shirts how many apples do you have?

Answers

I’m gonna say 69
Yeah I think that’s the right answer

Answer:

About 4 oranges I think...

Which is greater 15/27 or 16/24

Answers

Answer:

16/24

Step-by-step explanation:

let’s use the GCF of both which is 3 for 15/27

15/27 divided by 3 is 5/9

for 16/24 the gcf is 8

16/24 / 8 is 2/3

now we have to multiply 2/3 times 3

2/3 times 3 6/3 which is 2

so 16/24 is greater.

Mr. Martin currently makes 25,000 per year and gets a 5% raise on
his salary each year.
Which equation models the growth of his salary?

Answers

Answer:

My milkshake brings all the boys to the yard

And they're like, it's better than yours

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