What is the inverse of the function f(x) =1/4x – 12?

In this problem, we have a pair of like terms in our x terms.

3x and -2x are like terms because they are exactly alike except for the coefficients or the numbers in front of the variables.

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Hey!!

3x and -2x are the like terms.

Explanation:

To add and subtract the algebraic expression, there should be the like and unlike terms.Unlike terms are those which do not have the same base and like terms are those which have the same base.

Hope it helps

Good luck on your assignment

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[tex]the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

y = 4x - 18

Step-by-step explanation:

Write out y = mx + b.

The slope of the line in question is 4.  Thus we have y = 4x + b.

Finally, substitute -6 for y, 3 for x and solve for b:

-6 = 4(3) + b, or -6 = 12 + b.  Then b = -18, and the equation of this line is

y = 4x - 18

Answer:

18

Step-by-step explanation:

y=4x-18 is the solution and 18 is the y-intercept because the b (18) is the y-intercept.

Answer:

equation in standard form is  -3x + 5y = -26

Step-by-step explanation:

standard form of equation of line is

Ax + By = C

where A,B and C are integers.

such line has slope -A/B

Another form of line equation is slope intercept form, which can be written as

y = mx+ c

since in problem m = 3/5

thus, equation is

y = 3/5 x + c

Given that (2,-4) passes through this line, this point will satisfy the above equation

-4 = 3/5 *2 + c

=> - 4 = 6/5 + c

=> c = -4 -6/5 = (-4*5 - 6)/5

=> c = (-20 - 6)/5 = -26/5

Thus, equation in slope intercept form is

y = 3/5 x -26/5

lets rewrite this equation in  Ax + By = C

Multiplying LHS and RHS by 5 we have

5y =( 3/5 x)* 5 - (26/5 * 5)

=> 5y = 3x - 26

we have to bring 3x on LHS for that

we subtract 3x from both side

5y  -3x = 3x - 26 -3x

=> 5y  -3x =  - 26

rearranging the equation

-3x + 5y = -26

Thus, equation in standard form is  -3x + 5y = -26

Answer:

It is a gain.

Step-by-step explanation:

CLEAR STATEMENT:

Given that the fruit seller buys 10 apples for 45Rs each from wholesale market.

This implies her buys them for 10 × 45Rs = 450Rs.

UNCLEAR STATEMENT:

He packs them in a fruit basket for 40 and sells them each for 20 baskets Rs. 600.

ASSUMING:

What you are trying to say is that he bought baskets for 40Rs, and sold the apples for 600Rs.

Subtracting his expenses from this value, we have

600Rs - 450Rs - 40Rs = 110Rs

Since this amount is positive, we conclude that it is a gain of 110Rs.

Answer:

Step-by-step explanation:

Initial prediction of sales = 45 automobile

Actual amount sold = 48 automobiles

Absolute error ratio a = actual amount sold - initial prediction/initial prediction

Absolute error ratio a = 48-45/45

Absolute error ratio a = 3/45

%error = actual amount sold - initial prediction/initial prediction * 100%

% absolute error = 48-45/45 * 100

% absolute error = 3/45 * 100

% absolute error b = 6.67%

Answer:

a = Start Fraction 3 over 48 End Fraction; b = 6.25 percent

Step-by-step explanation:

Your Welcome;)

Answer:

2.5 sec

Step-by-step explanation:

Height of wall = 2.5 m

initial speed of ball = 14 m/s

height from which ball is kicked = 0.4 m

we calculate the speed of the ball at the height that matches the wall first

height that matches wall = 2.5 - 0.4 = 2.1 m

using [tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as

where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)

[tex]V^{2}[/tex] = [tex]14^{2}[/tex] + 2(-9.81 x 2.1)

[tex]V^{2}[/tex] = 196 - 41.202

[tex]V^{2}[/tex] = 154.8

v = [tex]\sqrt{154.8}[/tex] = 12.44 m/s

this is the velocity of the ball at exactly the point where the wall ends.

At the maximum height, the speed of the ball becomes zero

therefore,

u = 12.44 m/s

v = 0 m/s

a = -9.81 m/s^2

t = ?

using V = U + at

0 = 12.44 - 9.81t

-12.44 = -9.81

t = -12.44/-9.81

t = 1.27 s

the maximum height the ball reaches will be gotten with

[tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as

a = -9.81 m/s^2

0 = [tex]14^{2}[/tex] + 2(-9.81s)

0 = 196 - 19.62s

s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.

height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m

we calculate for the time taken for the ball to travel down this height

a = 9.81 m/s^2 (positive in downwards movement)

u = 0

s = 7.49 m

using s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]

7.49 = (0 x t) +  [tex]\frac{1}{2}[/tex](9.81 x [tex]t^{2}[/tex] )

7.49 = 0 + 4.9[tex]t^{2}[/tex]

[tex]t^{2}[/tex]  = 7.49/4.9 = 1.53

t = [tex]\sqrt{1.53}[/tex] = 1.23 sec

Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec

Answer:

[tex]802[/tex]

Step-by-step explanation:

[tex]18^3=5832[/tex]

[tex]19^3=6859[/tex]

[tex]2018+2019+2020=6057[/tex]

[tex]6859-6057=802[/tex]

Check.

[tex]6057+802=6859[/tex]

[tex]\sqrt[3]{6859} =19[/tex]

Answer:

2019.

Step-by-step explanation:

Let x = 2018, then x + 1 = 2019 and x + 2 = 2020.

x(x + 1)(x + 2)

= x(x^2 + 3x + 2)

= x^3 + 3x^2 + 2x ................(A)  

Now the perfect cube of x + 1 is:

(x + 1)^3 = x^3 + 3x^2 + 3x + 1

If we add x + 1 to (A) we get this expression so the answer is x + 1

= 2019.

Answer:

8.5 units

Step-by-step explanation:

first we gotta find the length of the diameter. they made it into a triangle, so we can use pythagorean theorem.

15² + 8² = c²

225 + 64 = c²

289 = c²

17 = c

so now we know that the length of the diameter is 17 units, so the radius would be half of that.

17 ÷ 2 = 8.5

so the radius is 8.5

The radius of the given circle, it can be calculate by using theorem of circle and it will come out, 13/2

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

A circle which has diameter AOB,

Two chords are, AC & BC their lengths are respectively, 15 and 8 units

According to theorem of circle,

Angle made by end-points of diameter at any point on a circle is 90

Pythagoras theorem can be used here,

AB² = AC² + BC²

AB² = 12² + 5²

AB² =  169

AB = 13

Radius = AB/2

           =  13/2

Hence, the radius is 13/2 units

To know more about Pythagoras theorem check:

https://brainly.in/question/54178582

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Answer: 60

Step-by-step explanation:

Cost of 1 cup = 80

Actual cost of 6 cups = 80 x 6 = 480

1/2 dozen cups were bought for 420

Discount 480 - 420 = 60

Answer:

222x + 888 = 303030

Step-by-step explanation:

If he raises the amount of push-ups he does by 222, then we can put the x with it, which represents the number of days. Since we are adding onto the 888 a day we can put that without the variable. If you were to solve this equation you would get the amount of days it would take to reach 303030 push-ups a day.

Hope this helps!

Answer:

8+2x=30

Step-by-step explanation:

did it on khan its correct

Steps:

Shape: Sphere

Solved for volume

Radius: 3

Formula: V=4 /3πr3

1: know the height. We don't have to round to the nearest tenth. The correct answer for this question is 113.0.

Answer:  113.0

Please mark brainliest

Hope this helps.

Answer:

(0, -4)

Step-by-step explanation:

The lines intersect at 0, -4. That is also the solution.

Answer:

D

Step-by-step explanation:

The solution of two functions is the point(s) where they intersect. Since these two graphs intersect at the point (0,-4), this is the solution to the system. Hope this helps!

Answer:

4,20,11,2,1y

Step-by-step explanation:

The first graph has a constant additive rate of change of -1/4.

First of all, when we talk about a rate of change, that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.

Also, if you observe the linear graph, you would see that the line represents a negative rate of change, because the line is going down (the function is decreasing). In other words, as x-variable increases, y-variable decreases.

Therefore, the first graph shows a ratio of change of -1/4.

Learn more about function click;

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Answer:24

Step-by-step explanation:

By Pythagoras

a^2=b^2 +c^2

74^2-70^2=c^2

C=√576

C=24

Answer:

∛2 can be written as [tex]2^\frac{1}{3}[/tex]. The way i like to remember how to write fractional exponents is that the index of the radical (3 in this case) is the denominator of the fractional exponent and the power of the number inside the radical (1 in this case) is the numerator.

Answer:

2 1/3 is the answer

Step-by-step explanation:

Answer:

at the top of the high slope in the top right sqaure and in the middle of the bottom slope in the bottom left

Step-by-step explanation:

The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'm' be the number of months and 'y' be the population. Then the equations are given as,

y = (125 - 100) m + 33,950

y = 25m + 33950          ...1

y = 150m + 35700          ...2

From equations 1 and 2, then we have

150m + 35700 = (125 - 100) m + 33950

125m - 100m + 33950 - 35700 - 150m = 0

175m = 1750

m = 10 months

The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Answer:

x= 50

Step-by-step explanation:

The unknown angle is also x since we have an isosceles triangle and the bases angle are the same

The sum of the angles of a triangle are 180 degrees

x+x+80 =180

2x+80 = 180

Subtract 80 from each side

2x= 180-80

2x= 100

Divide by 2

2x/2 =100/2

x= 50

Answer:

[tex]x=50[/tex]°

Step-by-step explanation:

This is an isosceles triangle since 2 of it's sides are the same length. That means the missing angles are the same. Since a triangles' interior angles add up to 180°, we get:

(180°-80°)÷2=x°

100°÷2=x°

50°=x°

x°=50°

Answer: £2598.80

Step-by-step explanation:

Let those under 16 be x

Those over 16 be y

49 + y = 155

y = 155-49

y = 106 = over 16

for over 16, y * 18.60

= 106 * 18.60 = 1971.60

For under 16, x * 12.80

= 49 * 12.80 = 627.20

Answer:

£ 35

Step-by-step explanation:

Ratio = 6 : 1

Gordon's share = 6x

Malachy's share = x

6x - x = 25

5x = 25

x = 25/5

x = 5

Gordon's share = 6x = 6*5 = 30

Malachy's share = x = 5

Total money they get = 30 + 5 = £35

Answer:

1.103,1.13,1.1322,1.4

Step-by-step explanation:

find the decimal places and u can figure out with they are greater than this decimal or less

Answer:

1.103, 1.13, 1.1322, 1.4

Step-by-step explanation:

hope that helped:D

Answer:

It's B

explanation

Answer:

the answer is A because the pair of ratios are equivalent.

Answer:

p: 42

a: 82.16

Step-by-step explanation:

For perimeter, add all the sides together

For area, multiple the longer side by the shorter side

Answer:

Slope of this line is given by:

Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

[tex]x_1=3, y_1=1.5\\x_2=5, y_2=2.5[/tex]

Change in x coordinate = [tex]x_2-x_1=5-3 = 2[/tex]

i.e. total time taken is 2 hours.

Change in y coordinate = [tex]y_2-y_1=2.5-1.5 = 1[/tex]

i.e. total land mowed taken is 1 acre.

In other words, it takes 2 hours for Aaron to mow 1 acre of land.

So, "option 1)  It takes Aaron about 1 hour to mow 2 acres." is incorrect.

Rate of mowing lawn is the land mowed by Aaron in 1 hour.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = [tex]\frac{1}{2}[/tex] acre i.e. 0.5 acre

Also, slope of a line is given as:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here [tex]y_2 - y_1 = 1[/tex]

[tex]x_2 - x_1 = 2[/tex]

As per formula:

[tex]m = \dfrac{1}{2} = 0.5[/tex]

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

Using the slope concept, it is found that the correct option is:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

---------------------------

A linear function has the following format:

[tex]y = mx + b[/tex]

---------------------------

[tex]m = \frac{2.5 - 1.5}{5 - 3} = \frac{1}{2} = 0.5[/tex]

Thus, the correct option is:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

A similar problem is given at https://brainly.com/question/17460142

Answer:

187.5 in^3

Step-by-step explanation:

V=(lwh )/3

7.5 x 5 x 5= 187.5

Answer:

62.5 inches squared

Step-by-step explanation:

To find the volume of a pyramid, you need to use the formula : (length x width x height)/3. It's simple once you plug the values in.

Length = 5

Width = 5

Height = 7.5

1. 5 times 5 times 7.5 = 187.5

2. 187.5/3 = 62.5

3. The answer is 62.5 inches squared

Answer:

Where are the questions....?

Answer:

Hey!

Well there aren't any question up here!!

Step-by-step explanation:

Maybe put another one!

Hope this helps!

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Median=3

Mean=3.12

Step by step explanation:

1. Arranging the data in ascending order:

=1,1,2,2,3,3,4,5,7

N(total number of items)=9

Now,

Median= (N+1/2) th item

=(9+1/2)th item

=(10/2) th item

=5 th item.

Median= 3

------------------------------------------------------------

2. Given data: 3,2,4,2,1,5,1,3,7

Summation FX= 28

N(total number of items)=9

Now,

Mean= summation FX/N

= 28/9

=3.12

Mean =3.12

Good luck on your assignment

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Step-by-step explanation:

median (need to be arranged first):

1,1,2,2,3,3,4,5,7 (9 numbers)

median=9+1/2

=5 (5th)

=3

mean=x/n

=(1+1+2+2+3+3+4+5+7)/9

=28/9

=3.111

Answer:

Cannot

Can

Cannot

Cannot

Step-by-step explanation:

10+3 < 18

16+8>23

6.5+3.4 < 10.8

7+7< 23

Answer:

what's the question men let me no