If f(x) = 3x + 2 and g(x) = 2x - 1, find gof(x).​

Answers

Answer 1

Answer:

6x + 3 depending if i read it right

Step-by-step explanation:

if you mean

g(f(x)) then:

2(3x + 2) - 1

6x + 4 - 1

6x + 3


Related Questions

I’ve been stuck on this question for a while can someone help please

Answers

True because they are adjacent to each other

Find the value of x.
115
x
95
70

Answers

Answer:

x° = 80°

Step-by-step explanation:

[tex] {x}^{o} + {115}^{o} + {95}^{o} + {70}^{o} = {360}^{o} \\ [/tex]

(The measure of the interior angle of a square is 90°)

[tex]{x}^{o} + {115}^{o} + {95}^{o} + {70}^{o} = {360}^{o} \\ {x}^{o} + {280}^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {280}^{o} \\ {x}^{o} = {80}^{o} \\ [/tex]

Solve for x in the proportion below be sure to show work 5/x=25/6

Answers

Answer:

I think it is x is equals to 5/6.

Step-by-step explanation:

5/x = 25/6

x/5 * 5/x = 25/6 * x/5

x = 5/6

▪ Answer:

x = 5/6

▪ Step-by-step explanation:

Hi there !

5/x = 25/6

x = 5×6/25

x = 30/25

simplist 5

x = 6/5

Good luck !

14 f ( x ) = √ 7 + x range

Answers

[tex]f(x) = \sqrt{7 + x} [/tex]

We know that anything underneath a square has to be positive. so accordingly

[tex]7 + x \geqslant 0[/tex]

[tex]x \geqslant - 7[/tex]

[tex]domain \: - 7 \leqslant x \leqslant \infty [/tex]

The answer to any value of x that that you plug, between -7 & ∞ will be between 0 & infinity.

[tex]range \: \: 0 \leqslant f(x) \leqslant \infty [/tex]

please help please help

Answers

Answer:

6 quarts because 2/3 of 9 is 6 :)

The container holds 9 quarts and she wants only 2/3 of the way. 2/3 of the way is the same thing as 2/3 of 9.

  [tex]\frac{2}{3} *9=6[/tex]

Thus Lauren needs to fill 6 quarts of the 9 quarts to get to the 2/3 of the way.

Hope that helps!

Between 0 and 1

Between 2 and 3

Between 5 and 6

Between 7 and 8

Answers

between 2 and 3

the square root of seven is 2.6 !

What is the value for x that makes the equation
4r - 2 + 3x - 7= -51 true?

Answers

Answer:

x = -4r/3 - 14

Farmland A farmer has a rectangular plot of land shaped like the figure in the graph. There is another identical plot of land 100 yards east and 120 yards north of the original plot. Graph both plots of land. Then find the combined area of the two plots of land

Answers

The graph of both plots would be the one graph in option C.

Combined area = 2(area of one rectangular plot) = 720 sq. yds.

What is the Area of a Rectangular Shape?

Area of a rectangular shape = length × width

From the graph given, 1 unit represents 20 yards. Therefore:

100 yards east of the original plot is going to be 5 units to the left on the x-axis.120 yards north of the original plot would be 6 units upwards on the y-axis.

Therefore, the graph of both plots would be the one given in option C.

The plot is rectangular in shape having 60 yards × 60 yards. Therefore:

Area of 1 plot = length × width = 60 × 60 = 360 square yards.

Combined area = 2(area of one rectangular plot) = 2(360) = 720 sq. yds.

Learn more about area of rectangular shapes on:

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Hello! Can you read the comments? Thanks!
However, my math question is, what is the equation represented by this graph?

Answers

Answer:

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

Step-by-step explanation:

slope is [tex]\frac{6}{1}[/tex]

y=mx+b

replace m with slope

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

(1,6)(0,0)

Slope:-

m=0-6/0-1m=6

Equation in point slope form

y-6=6(x-1)y-6=6x-6y=6x

HELPPPP, I need help finding the value!

Answers

Answer:

65

Step-by-step explanation:

1*5*2 + -1*0*-3 + 3*2*1 - -3*5*3 - 1*0*1 - 2*2*-1 =

10 + 0 + 6 + 45 - 0 + 4 =

65

see attached picture, that shows the recipe to do the other one.

What are the x- and y-intercepts of the line?

2x – 3y = –12



x-intercept 6, y-intercept –4


x-intercept –4, y-intercept 6


x-intercept –6, y-intercept 4


x-intercept 4, y-intercept –6

Answers

Answer:

3rd option

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

2x - 3(0) = - 12

2x  - 0 = - 12

2x = - 12 ( divide both sides by 2 )

x = - 6 ← x- intercept

To find the y- intercept let x = 0 in the equation and solve for y

2(0) - 3y = - 12

0 - 3y = - 12

- 3y = - 12 ( divide both sides by - 3 )

y = 4 ← y- intercept


Which statement is not true about the data shown by the box plot below?

Answers

answer:

a is not true but C and b is true

What is the slope of a line that is perpendicular to the
line y = -1/2X + 5?

Answers

Answer:

the slope is −12

Step-by-step explanation:

The equation of a perpendicular line to y=−x2+5 y = - x 2 + 5 must have a slope that is the negative reciprocal of the original slope.

Hope it helps!!!Brainliest pls!!!

-1/2

That would be the answer

∠A and ∠B are supplementary. m∠A = (6x + 5), m∠B = (2x + 15). Find the measure of each angle.

Answers

Answer:

125 and 55

Step-by-step explanation:

180=8x+20

160=8x

x=20

6(20)+5                            2(20)+15=

120+5=125 degrees           40+15=55 degrees

What is the slope and y-intercept of this line?
y=−12x+7

Answers

Answer:

-12

Step-by-step explanation:

y = mx + b

the one being multiplied  to x is the slope

Answer:

slope: -12

y-intercept: 7

Step-by-step explanation:

The slope-intercept form of the equation of a line is

y = mx + b

where m = slope, and b = y-intercept.

Your equation is

y = -12x + 7

Your equation is already in the slope-intercept form.

m = -12

b = 7

slope: -12

y-intercept: 7

A running shoe store mounts a new promotional campaign. Purchasers of new shoes may, if dissatisfied for any reason, return them within 7 days of purchase and receive a full refund. The cost to the dealer of such a refund is $105. The dealer estimates that with an 11% probability each purchaser, for whatever reason, will return their pair of shoes and obtain refunds. Suppose that 120 pairs of shoes are purchased during the campaign period. Clearly the exact number of purchasers who return their product is unknown. Answer the following questions:

a. Describe the probability distribution of the number of pairs of shoes that will be returned for refunds.
b. What is the mean and standard deviation of the number of pairs of shoes that will be returned for refunds.
c. What is the mean and standard deviation of the total refund costs that will accrue as a result of these refunds.

Answers

Answer:

a

             [tex]P(K = k ) = \  ^nC_x * p^k  *  (1-p)^{n-k}[/tex]

Here  k is the random number of number of pairs of shoes that will be returned for refund, which can be  k = 0,1 ,2,3,4 ..., 120

b

The mean is   [tex]E(K) =  np =  13.2[/tex]  

The  standard deviation is  [tex]\sigma =  3.43[/tex]

c

The mean is  [tex]E(C) =   E(105 K) =  1386[/tex]

The standard deviation is   [tex]\sigma  =  381.48 [/tex]  

Step-by-step explanation:

From the question we are told that

   The  cost to dealer for each refund is  [tex]C =  \$105[/tex]

   The  probability  that a shoe will refunded is  [tex]P(x) =  0.11[/tex]

   The number of shoes purchased is  n  =  120 pairs

Generally the probability distribution of the number of pairs of shoes that will be returned for refunds is

          [tex]P(K = k ) = \  ^nC_x * p^k  *  (1-p)^{n-k}[/tex]

Here  k is the random number of number of pairs of shoes that will be returned for refund, which can be  k = 0,1 ,2,3,4 ..., 120

Generally the mean is mathematically represented as

     [tex]E(K) =  np =  120 * 0.11[/tex]

=>    [tex]E(K) =  np =  13.2[/tex]  

Generally the  standard deviation is mathematically represented as

     [tex]\sigma  =  \sqrt{ n*  p  (1-p)}[/tex]

=>    [tex]\sigma  =  \sqrt{ 120* 0.11  (1-0.11)}[/tex]

=>    [tex]\sigma =  3.43[/tex]

Generally the total refund cost is mathematically represented as

     [tex]C =  105 K[/tex]

Here K denotes the number of shoes returned

Generally the mean of the total refund cost is mathematically represented as

           [tex]E(C) =   E(105 K) =  105 E(K)[/tex]

=>         [tex]E(C) =   E(105 K) =  105 * 13.2[/tex]

=>         [tex]E(C) =   E(105 K) =  1386[/tex]

Generally the variance of the total refund cost is mathematically represented as

       [tex]Var(K) =  105^2 *  E(K)[/tex]

=>     [tex]Var(K) =  105^2 *  13.2[/tex]

=>    [tex]Var(K) =  145530[/tex]  

=>      [tex]\sigma =  \sqrt{145530 }[/tex]

=>    [tex]\sigma  =  381.48 [/tex]  

   

Please help me xx this is what I really need to finish

Answers

Answer:

bjc hnfj yn yt NV ubf. giving! y NV,

Answer:

x= 45°

x+10=55°

2x-10=80°

Step-by-step explanation:

According to ASP,

x+x+10+2x-10=180°

4x=180°

Therefore, x=180/4

                    =45°

x+10=45+10

        =55°

2x-10=90-10

         =80°

Mark me Brainliest!!!

You go to ice cream place for dessert one day. You can get vanilla, chocolate, or twist ice cream. You have a choice of rainbow sprinkles, chocolate sprinkles, or no sprinkles. You can get your ice cream in a cup or a cone and they each come in small, medium m, and large sizes. How many different combinations are there in all?

Answers

The answer Is 54 hope that helps

Damita says the equations 0.8x - 0.8 = 1.6 and 4/5 ( x - 1 ) = 1 (3/5) are the same. How can she show this without solving the equations?

Answers

To show that the equations are the same, we need to rewrite one of the equations as an equivalent equation of the second

Damita's claim is true

How to show the equations are the same

The equations are given as:

0.8x - 0.8 = 1.6

4/5 ( x - 1 ) = 1 (3/5)

We need to rewrite one of the equations, as follows:

4/5 ( x - 1 ) = 1 (3/5)

Express as decimal

0.8 ( x - 1 ) = 1 + 0.6

Open the brackets

0.8x - 0.8 = 1.6

Now we have:

0.8x - 0.8 = 1.6 (the first equation) and 0.8x - 0.8 = 1.6 (the equivalent of the second equation)

The above shows that both equations are the same

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First, rewrite 5/7 and 8/11 so that they have a common denominator.

Answers

common denominator = 7x11 = 77

5/7 = (5x11) / (7x11) = 55/77

and

8/11 = (8x7) / (11x7) = 56/77

5/7 and 8/11 can be rewritten as 55/77 and 56/77, respectively, so that they have a common denominator of 77.

What is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

To rewrite 5/7 and 8/11 with a common denominator:

We can find the least common multiple (LCM) of the denominators 7 and 11, which is 77.

Then, we can multiply each fraction by the appropriate form of 1 so that the denominators are equal to 77.

Here are the steps:

5/7 = (5/7) x (11/11) = 55/77 (multiply the numerator and denominator of the first fraction by 11)

8/11 = (8/11) x (7/7) = 56/77 (multiply the numerator and denominator of the second fraction by 7)

Therefore, 55/77 and 56/77 are the required fractions.

To learn more about fractions;

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The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all your work.

The figure shows a triangle with 2 congruent sides. The angle between the congruent sides measures x degrees and a different angle measures 70 degrees.

Answers

Answer:

40

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent, so the other base angle is also 70 degrees.

This means that the interior angles are 70, 70, and x

Since the sum of the measures of the angles of a triangle is 180 degrees,

70+70+x=180

140+x=180

x=40

x equals -4 Y X + 5y equals to​

Answers

Step-by-step explanation:

use -4y for x in the second equation

-4 y + 5 y = 2

so

y = 2

then x = -4(2) = -8

(-8 , 2)

Hope it helps you

:DD

Super Painters charges $1.00 per square foot
plus an additional fee of $25.00 to paint a
living room. If x represents the area of the
walls of Francesca's living room, in square
feet, and y represents the cost, in dollars,
which graph best represents the cost of
painting her living room?

Answers

You circled b and i would agree. Because Francesca is doing a living room, it would natuarly start at $25. So it cant be c. And Because x represents the walls, the graph would be a possitive corrolotion so i would say it is b

The graph b shows the adequate information for painting cost of living room. Option b is correct.

Graph that shows adequate information for cost of painting for living room to be determine.

What is graph?

The graph is a demonstration of curves  which gives the relationship between x and y axis.

Here, equation for the painting of living room can be given as y = 1x+25.
This relation ship clearly seen in graph b.


Thus, the graph b shows the adequate information for painting cost of living room.

Learn more about graphs here:

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Jeffrey has a fish tank that holds 8 L of water he already has a tank filled with one liter of water how many more liters of water does free need to complete feel the fish tank​

Answers

Answer:

7L

Step-by-step explanation:

8-1

Minus 8-1=7

I hope it is the right answer

1) Find the general solution to the following differential equation x^3•y’- y = 0

Answers

Answer:

y(x) = c_1 e^(-1/(2 x^2))

Step-by-step explanation:

Solve the separable equation x^3 (dy(x))/(dx) - y(x) = 0:

Solve for (dy(x))/(dx):

(dy(x))/(dx) = y(x)/x^3

Divide both sides by y(x):

((dy(x))/(dx))/y(x) = 1/x^3

Integrate both sides with respect to x:

integral((dy(x))/(dx))/y(x) dx = integral1/x^3 dx

Evaluate the integrals:

log(y(x)) = -1/(2 x^2) + c_1, where c_1 is an arbitrary constant.

Solve for y(x):

y(x) = e^(-1/(2 x^2) + c_1)

Simplify the arbitrary constants:

Answer:  y(x) = c_1 e^(-1/(2 x^2))

What improper fraction equal to the mix number 4 7/9?

Answers

Answer:

43/9

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

9 × 4 = 36

Step 2

Add the answer from Step 1 to the numerator

36 + 7 = 43

Step 3

Write answer from Step 2 over the denominator

43/9

=439

You and your friends order a meal for $116.29. How much tip should you leave if you want to leave a 12% tip?

Answers

Answer:

$13.95

Step-by-step explanation:

$166.29 ×12/100

=$13.95 will be the tip.

Answer:

$13.95

Step-by-step explanation:

Convert the 12% to an actual number that can be used in a calculator. For percents, this is done by dividing the percent (in this case 12%) by 100%.So, the conversational term "12%" becomes 12% / 100% = 0.12 in terms of a real mathematical number. Then you need to find out what 12% of your $116.29 meal cost is.This is always done by multiplying 0.12 by $116.29, or 0.12 x $116.29=$13.95.

Choose all the constant terms in the expression. 12+15x-16-4x-10

Answers

The constant terms are 12, -16, -10.

Look at the attached image for an example of how to identify constants!

Hope that helped!

Answer:

[tex]\huge\boxed{\sf{12, -16, -10}}[/tex]

Step-by-step explanation:

Hello.

Please remember that a constant is a number without any variables next to it.

Let's search for constants in this expression.

The first term is 12. It has no variables, thus, it's a constant.

The second term is 15x. It does have a variable, thus, it's not a constant.

The third term is -16. It has no variables, thus, it's also a constant.

The 4th term is -4x (not a constant)

The last term is -10 (a constant)

I hope it helps & have an outstanding day.

[tex]\boxed{imperturbability}[/tex]

R=6
Find The Area Of A Circle

Answers

Answer:

36π

Step-by-step explanation:

The sum of all the terms in an infinite geometric sequence is 81 and the sum
of all terms starting from the third is 9. What is the second term in the sequence?

Answers

Step (1)

We know that the sum of all the terms in an infinite geometric sequence finding from following equation whenever |q| < 1 .

q = magnitude

[tex]s( \infty ) = \frac{t(1)}{1 - q} \\ [/tex]

So :

[tex]s( \infty ) = \frac{t(1)}{1 - q} \\ [/tex]

[tex]81 = \frac{t(1)}{1 - q} \\ [/tex]

[tex]81(1 - q) = t(1)[/tex]

Remember it I'll use it again.

_________________________________

Step (2)

We know that the sum of the n first terms of a geometric sequence finding from following equation.

[tex]s(n) = \frac{t(1) \times (1 - {q})^{n} }{1 - q} \\ [/tex]

_________________________________

Sum of all terms starting from the third is 9.

So :

[tex]s(2) + s(3 - \infty ) = 81[/tex]

[tex]s(2) + 9 = 81[/tex]

Sides minus 9

[tex]s(2) = 81 - 9[/tex]

[tex]s(2) = 72[/tex]

So :

[tex]t(1) + t(2) = 72[/tex]

[tex]t(1) + t(1) \times q = 72[/tex]

Factoring t(1)

[tex]t(1) \times (1 + q) = 72[/tex]

We have found t(1) = 81 ( 1 - q ) in step (1).

So :

[tex]81(1 - q)(1 + q) = 72[/tex]

Divided sides by 81

[tex](1 - q)(1 + q) = \frac{72}{81} \\ [/tex]

[tex](1 - q)( 1 + q) = \frac{8}{9} \\ [/tex]

[tex]1 - {q}^{2} = \frac{8}{9} \\ [/tex]

Subtract sides minus -1

[tex] - {q}^{2} = \frac{8}{9} - 1 \\ [/tex]

[tex] - {q}^{2} = \frac{8}{9} - \frac{9}{9} \\ [/tex]

[tex] - {q}^{2} = - \frac{1}{9} \\ [/tex]

Negatives simplifies

[tex] {q}^{2} = \frac{1}{9} \\ [/tex]

Radical sides

[tex]q = + \frac{1}{3} \\ q = - \frac{1}{3} [/tex]

_________________________________

Step (4)

If q = 1/3 :

[tex]81(1 - q) = t(1)[/tex]

[tex]81(1 - \frac{1}{3}) = t(1) \\ [/tex]

[tex]81( \frac{2}{3}) = t(1) \\ [/tex]

[tex]t(1) = 27 \times 2[/tex]

[tex]t(1) = 54[/tex]

So :

[tex]t(2) = t(1) \times q[/tex]

[tex]t(2) = 54 \times \frac{1}{3} \\ [/tex]

[tex]t(2) = 18[/tex]

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

If q = - 1/3 :

[tex]81(1 - q) = t(1)[/tex]

[tex]81(1 - ( - \frac{1}{3})) = t(1) \\ [/tex]

[tex]81(1 + \frac{1}{3}) = t(1) \\ [/tex]

[tex]81( \frac{4}{3}) = t(1) \\ [/tex]

[tex]t(1) = 27 \times 4[/tex]

[tex]t(1) = 108[/tex]

So :

[tex]t(2) = t(1) \times q[/tex]

[tex]t(2) = 108 \times - \frac{1}{3} \\ [/tex]

[tex]t(2) = - 36[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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