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

Can someone help me with this ASAP please and thank you

Answers

Answer:

C

Step-by-step explanation:

Triangles will only be right triangles if a² + b² = c² where a and b are legs and c is hypotenuse. Numbers 1 and 2 pass this test so the answer is c.

Answer:

C. I and IV only

Step-by-step explanation:

Apply the Pythagorean theorem to all triangles, and see which ones make the equation true.

I.

8^2 + 15^2 = 64 + 225 = 289

17^2 = 289

289 = 289

Right Triangle

II.

4^2 + 5^2 = 16 + 25 = 41

6^2 = 36

41 is not equal to 36

Not a Right Triangle

III.

2^2 + 2^2 = 4 + 4 = 8

3^2 = 9

8 is not equal to 9

Not a Right Triangle

IV.

9^2 + 12^2 = 81 + 144 = 225

15^2 = 225

225 = 225

Right Triangle

Answer: C. I and IV only

(x³-4x²+7x-5)+(13x-15x²+x³)

Answers

Answer:

2x^3−19x^2+20x−5

Step-by-step explanation:

combine the x's and numbers, when fully simplified:

2x^3−19x^2+20x−5

Answer:

[tex]\sf 2x^3-19x^2+20x-5[/tex]

Step-by-step explanation:

[tex]\sf\left(x^3-4x^2+7x-5\right)+\left(13x-15x^2+x^3\right)[/tex]

[tex]\sf x^3-4x^2+7x-5+13x-15x^2+x^3[/tex]

[tex]\sf x^3+x^3-4x^2-15x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-4x^2-15x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-19x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-19x^2+20x-5[/tex]

Line d is parallel to line c in the figure below. Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6. Which statements about the figure are true? Select three options. Vertical angles prove that Angle 2 is congruent to angle 5. In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles. Vertical angles prove that Angle 3 is congruent to angle 6. The triangles are similar because alternate interior angles are congruent. In the two similar triangles, Angle 2 and Angle 4 are corresponding angles. The triangles are similar because corresponding sides are congruent.

Answers

Answer:

Its the 2nd, 3rd, and 4th answer.

Step-by-step explanation:

i figured it out cause i did somehow

Answer:

it is 2 3 and 4 on edge 2021

Step-by-step explanation:

have a good day because i said so but mostly because you want to....ok bye love you

27 30 33 36 identify d in this

Answers

Answer:

d = 3

Step-by-step explanation:

d represents the common difference between consecutive terms in the sequence, that is

d = 30 - 27 = 33 - 30 = 36 - 33 = 3

Point M divides AB such that AM:MB = 1:4. If A has coordinates (-4, 3) and B has coordinates (6, 8). What are the coordinates of M?

Answers

Answer:

Coordinates of M = [tex]\left ( -2,4 \right )[/tex]

Step-by-step explanation:

Given: AM:MB = 1:4, A has coordinates (-4, 3) and B has coordinates (6, 8)

To find: coordinates of M

Solution:

According to section formula, if M(x, y) divides line joining points [tex]A(x_1,y_1)\,,\,B(x_2,y_2)[/tex] in ratio [tex]m:n[/tex] then coordinates of point M are [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]

Put [tex]A(x_1,y_1)=(-4,3)\,,\,B(x_2,y_2)=(6,8)\,,\,m:n=1:4[/tex]

Therefore,

[tex](x,y)=\left ( \frac{6-16}{1+4},\frac{8+12}{1+4} \right )=\left ( -2,4 \right )[/tex]

What is the domain of f(x)=√(x)?

Answers

Answer:

f(x)=√x f ( x ) = x is x≥0 x ≥ 0

Step-by-step explanation:

The domain of the function f(x)=√x f ( x ) = x is x≥0 x ≥ 0 . The range of a function is the set of results, solutions, or ' output ' values (y) to the equation for a given input.

How do you simplify ( 5 x 10-4 ) ( 2.4 x 10-6 ) into a scientific notation?

Answers

Answer:

I do not know this is harddd


The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
, and bags of cookies cost $4
, and sales equaled $40
in total. There were 3 more bags of cookies than candy sold.
Find the number of bags of candy and cookies sold by the football club.

Answers

Answer:

Candy=x=2.8 bags

Cookies=3+2.8=5.8 bags

Step-by-step explanation:

Price

Bag of candy=$6.00

Bag of cookies=$4

Total sales=$40

Quantity

Let cookies=y=3+x

Let candy=x

There are 3 more bag of cookies than candy sold

Total sales=price*quantity of x + price*quantity of y

40=$4*(3+x) + 6*x

40=12+4x+6x

40=12+10x

40-12=10x

28=10x

X=28/10

x=2.8 bags

The point-slope form of the equation of the line that passes through points 8,4 and 0,2 is y-4=1/4 (x-8) what is the slope intercept form of the equation for this line​

Answers

Answer:

Step-by-step explanation:

y - 4 = 1/4(x - 8)

y -4 = 1/4x - 2

y = 1/4x + 2

Which inequality is graphed below?
y<1/4x-1
y>1/4x-1
y<=1/4x-1
y>=1/4x-1

Answers

I think it is the first answer I just now did this problem yesterday z.Y<1/4x-1

find the slope of the line that passses thruogh 1,5 and 10,9

Answers

The answer is 4/9

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

A jar contains 5 red, 4 blue, and 3 yellow marbles. What is the probability of pulling a red marble, then pulling a blue marble, without

replacement? Calculate to the nearest tenth.

O 15.2 %

O 13.9%

14%

O 17.1%

Answers

Answer:

15.2%

Step-by-step explanation:

The total number of marbles in the jar is:

5 + 4 + 3 = 12 marbles

The jar contains 5 red, 4 blue, and 3 yellow marbles.

The probability of pulling a red marble is 5/12

There are now 11 marbles in the jar.

The probability of pulling a blue marble is 4/11

Therefore, the probability of pulling a red marble, then, pulling a blue marble, without  replacement is:

5/12 * 4/11 = 5/33

Converting to percentage:

5/33 * 100 = 15.2%

find the greatest common factor (3x^4y^2+12x^2y^3+6x^3y4)

Answers

Answer:

3x^2y^2

Step-by-step explanation:

the gcf is 3x^2y^2 since it is the common factor in all of the terms

Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
A. It is a function of x but not a relation.
B. It is a relation but not a function of x.
C. It is both a function of x and a relation.
D. It is neither a function of x nor a relation.

Answers

Answer:

B. It is a relation but not a function of x.

Step-by-step explanation:

I just took the quiz on edge

Answer:

B. It is a relation but not a function of x

Step-by-step explanation:

Use the Multiplication Law of Exponents to solve the expression below.
121/2.121/2 =

Answers

Answer:

12.

Step-by-step explanation:

12^1/2 * 12^1/2

= 12^(1/2 + 1/2)

= 12^1

= 12.

Which is the most efficient way to solve this equation?

+4=17


Subtract 4
from both sides because that will result in an equivalent equation with
alone on one side.


Subtract 17
from both sides of the equation so all terms will be on the same side of the equal sign.

Nothing, because the equation is already solved.


Add 4
to 17
because
equals 21

Answers

Answer:

Which is the most efficient way to solve this equation?

+4=17

Subtract 4

from both sides because that will result in an equivalent equation with

alone on one side.

Subtract 17

from both sides of the equation so all terms will be on the same side of the equal sign.

Nothing, because the equation is already solved.

Add 4

to 17

because

equals 21.

Step-by-step explanation:

MARK ME AS THE BRAINIEST

could someone please help me figure this out...

Two lines are intersecting. What is the value of x?
(x + 40)°
(4x - 5)”​

Answers

Answer:  29

====================================================

Work Shown:

The two angles shown are a linear pair. They are adjacent and supplementary. Supplementary angles add to 180 degrees.

(4x-5)+(x+40) = 180

5x+35 = 180

5x = 180-35

5x = 145

x = 145/5

x = 29

--------

As a check, if x = 29, then

4x-5 = 4*29-5 = 116-5 = 111

x+40 = 29+40 = 69

The two angles are 69 and 111 degrees which add to 69+111 = 180, which helps confirm the answer.

Answer:

x = 29

Step-by-step explanation:

The two angles with measures are a linear pair.

Angles in a linear pair are supplementary, so their measures add to 180 deg.

4x - 5 + x + 40 = 180

Combine like terms on left side.

5x + 35 = 180

Subtract 35 from both sides.

5x = 145

Divide both sides by 5.

x = 29

Which expressions are equivalent to 5x-15? Select three options

B,C,E

Answers

Answer:

5(x-3)

Step-by-step explanation:

5(x - 3)

= 5*x - 5*3

= 5x - 15

Answer:

yup this is correct b,c,e

Step-by-step explanation:

When adding to integers with different signs, how do you find the sign?

Answers

Answer:

the largest number would be the sign that that number has

Step-by-step explanation:

Which could be the area of a face of the rectangular prism?

A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.

[Not drawn to scale]
5 m2
6 m2
7 m2
9 m2

Answers

Answer:

6m squared

Step-by-step explanation:

cause one of the faces is 2 times 3 and that is 6m squared

Answer:

8 m^2, 12 m^2, or 6 m^2

Step-by-step explanation:

4x2=8 m^2

4x3=12 m^2

2x3=6 m^2

It depends which face you want the area of

what is the value of x?

Answers

Answer:

x = 3 will be the answer.

Step-by-step explanation:

From right triangle ABC,

By applying Sine rule,

Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]

    [tex]\frac{1}{\sqrt{2}}[/tex]  = [tex]\frac{BC}{6\sqrt{2}}[/tex]

BC = 6 units

Now from right triangle BCD,

By applying Cosine rule,

Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]

[tex]\frac{1}{2}=\frac{x}{6}[/tex]

x = [tex]\frac{6}{2}[/tex]

x = 3

(07.06 LC) Which statement is true about the equation fraction 4 over 5z − fraction 1 over 5z + 4 = fraction 3 over 5z + 6? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.

Answers

Answer: no solution

Step-by-step explanation: 4/5z - 1/5z = 3/5z

3/5z + 4 = 3/5z + 6

No solution

Answer:

[tex]$z=-\frac{48}{55} $[/tex]

It has one solution.

Step-by-step explanation:

[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]

Once we have fractions we already know the values when the equation is not true. I'm talking about division when the denominator is 0. It is undefined.

The values for [tex]z[/tex] are:

[tex]$0 ; -\frac{4}{5} \text{ and } -\frac{6}{5} $[/tex]

Now let's find [tex]z[/tex]. First, we have to find the least common multiplier:

In this case: [tex](5z+4)(5z+6)(5z)[/tex]

[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]

[tex]$\frac{4(5z+4)(5z+6)}{(5z+4)(5z+6)(5z)}-\frac{1(5z)(5z+6)}{(5z+4)(5z+6)(5z)}=\frac{3(5z)(5z+4)}{(5z+4)(5z+6)(5z)} $[/tex]

I will not proceed in the way above because it would take some time to type, instead, multiply [tex](5z+4)(5z+6)(5z)[/tex] both sides.

[tex]4(5z+4)(5z+6)-1(5z)(5z+6)=3(5z)(5z+4)[/tex]

[tex](20z+16)(5z+6)-(5z)(5z+6)=15z(5z+4)[/tex]

[tex]100z^2+200z+96-25z^2-30z=75z^2+60z[/tex]

[tex]200z+96-30z=60z[/tex]

[tex]200z-90z=-96[/tex]

[tex]110z=-96[/tex]

[tex]$z=-\frac{96}{110} $[/tex]

[tex]$z=-\frac{48}{55} $[/tex]

Help!!!

An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?

Answers

Answer: $13.47 per hour.

Step-by-step explanation:

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

Total earnings = 9.25 (h) + 8 (t/20)

Where h is the number of hours and t is the number of transformers.

Since he worked for 36 hours and assembled 380 transformers:

Total earnings = 9.25 (36) + 8 (380/20)

Total earnings = 333+152 = $485

Finally, to find how much he earned per hours, we simply have to divide the result by the number of hours worked (36):

485/36 = $13.47 per hour.

does anyone know the answer to this?

Answers

Answer: 1/3

Step-by-step explanation:

The multiples of 4 and 6 that are in this 1-12 interval is 4, 6, 8, and 12

Thats a 4/12 chance which simplifies to 1/3

Answer:

1/3

Step-by-step explanation:

There are 3 numbers between 1 and 12 that are either multiples of 4 or 6 (4, 8, 6). 12 is a multiple of both, therefore we get 4 numbers out of 12. This is 4/12 = 1/3

HELP!!
Solve for x in the figure below!

Answers

Answer:

x= 9

Step-by-step explanation:

(3x + 4) and 50 are complementary angle

=> (3x + 4) + 50 = 90

-> 3x+4 = 40

-> 3x = 36

-> x= 9

I REALLY NEED HELP PLEASE!!

Answers

Answer:

To me the triangles in #6 appear to be the same shape as the first triangle in #7(EFG) with different lengths on the sides. But not much else is the same. I mean they are all triangles but the shape of the second triangle in #7(XYZ) isn't the same as either of the triangles in #6.

I hope that made sense to you!

Hope this helped! Have a great day! :)

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)

Pleaseee helppp

Which of the following uses a variable to represent a person, place, or thing
that is unknown?

A. a C-sharp on the piano

B. apartment 12A

C. a B+ grade

D. Mr. X

Answers

Answer:

D. Mr. X

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

All of them could represent something or someone, but Mr. X is the closest because X is usually used as a variable.

Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y.
log x^3 y^4

Answers

Answer:

  log x³ y⁴   =  3 log ( x ) + 4 log( y)

Step-by-step explanation:

Given function log x³ y⁴

step(i):-

Applying logarithmic formula

                      log ( a b ) = log  (a) +log (b)

                      log x³ y⁴   = log ( x³ ) + log( y⁴)

step(ii):-

Applying logarithmic formula

                    log (x ⁿ) = n log x

                log x³ y⁴   = log ( x³ ) + log( y⁴)

                log x³ y⁴   =  3 log ( x ) + 4 log( y)

final answer:-

  log x³ y⁴   =  3 log ( x ) + 4 log( y)

Can someone please help

Answers

The answer is B) Translation, Congruent
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