If my phone bill is calculated using equation c= 50g +75 what is the value and interpretation of the slope of this equation? C= cost and g= gigabytes of data used each month

Answers

Answer 1

Answer:

The value of the slope in this equation is 50

The interpretation is that the rate of change in the cost of the phone bill per unit change in gigabytes of data used each month is 50

Step-by-step explanation:

To answer this question, we need to compare the given equation with the equation of a straight line graph.

The equation we have is;

c = 50g + 75

comparing this with the equation of a straight line, we have

y = mx + c

where m represents the slope and c is the y-intercept

So comparing both, the slope of the equation is 50.

The slope is always the co-efficient of the value on the x-axis

So what does this mean?

The slope also called the gradient represents the rate of change of the y-term divided by the rate of change of the x-term. In simpler terms, when we talk of the slope, we mean the rate of change of the y term per the unit change of the x-term.

So what we mean in this case is the rate of change in cost of the phone bill per unit change in gigabytes of data used each month is 50


Related Questions

Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years

Answers

Answer:

4 years

Step-by-step explanation:

As 4*8 is 32

So 144+32 is 176

And 5*4=20

108-20 is 88

88*2 is 176

-72 + 12 x 4 / (-6) solve it

Answers

Answer:

The answer is -80.

Step-by-step explanation:

First, you need to multiply 12x4.

-72+12x4/(-6)

-72+48/(-6)

Now, we divide 48/-6. (Using P.E.M.D.A.S)

-72+48/-6

-72+-8

Finally, we add the negatives.

This gives us... -80 as your answer.

PLEASE HELP QUICK!!!! Which on are function and which ones are not? A. {(1, 2), (−3, 2), (4, −1), (2, 1), (2, 3)} B. {(−3, 1), (4, 2), (3, −1), (2, −4)} C. {(4, 2), (4, −1), (3, −2), (1, 4), (−2, 4)} D. {(3, −2), (−3, 2), (5, −2), (−1, −1)}

Answers

A. {(1,2) , (-3,2), (4,-1), (2,1), (2,3)}

B. {(-3,1), (4,2), (3,-1), (2,-4)}

C. {(4,2), (4,-1), (3,-2), (1,4), (-2,4)}

D. {(3,-2), (-3,2), (5,-2), (-1,-1)}

Function is something like domain mustn't have the same value in a single set. For example,

{(1,2), (3,4), (5,9)} This is Function because in a single set, none of the domains (x value) are the same. (Domain is the set of x, so the domains are 1,3 and 5)

{(1,2), (1,5), (2,9)} This is NOT Function because in a single set, 2 orders (1,2) and (1,5) both have same domain (x value) and that is both x = 1.

For the A, It's not function because of (2,1) and (2,3)

For the B. It's function because all x values (domain) are different. (they mustn't be the same value or else it won't be function)

For the C, Not function because of (4,2) and (4,-1)

For the D, it's function.

Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*35 (Choice C) C 0.5* 0.35 (Choice D) D 0.05*35 (Choice E) E 5/10*35

Answers

Answer:

B and D

Step-by-step explanation:

5% of 35 can be represented as 5% [tex]\cdot35[/tex].

To find equations that make this work, we need to find different ways to represent 5%.

5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.

So, [tex]\frac{5}{100}[/tex]. Multiplying by 35 gets us [tex]\frac{5}{100}\cdot35[/tex]

This means that Choice B is correct.

Another way to represent 5% is as a decimal.

We already know that the fraction form of 5% is [tex]\frac{5}{100}[/tex]. This means that in the decimal, the number 5 will be two place values to the right of the decimal place.

0.05

So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us [tex]0.05\cdot35[/tex], so choice D works too.

Hope this helped!

Answer:

The answer is option D and B

Step-by-step explanation:

To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number

So we have

5 percent of 35 is written as

[tex] \frac{5}{100} \times 35 \\ = \frac{1}{20} \times 35 \\ = \frac{7}{4} [/tex]

We have the answer as

1.75

From the options the one that has the same value as the above answer are

0.05 × 35 and 5/100 × 35

Hope this helps you

please help me, i will give 20 pts and choose brainlest too!

Answers

Answer:

ABC = 36 , DBC = 44

Step-by-step explanation:

(7x+2) + (7x -6) = 8=

14x -4 = 80

14x = 84

x = 6

The perimeter of a rectangle is 46 millimeters. The length of the rectangle can be represented by (3x+3), and its width can be represented by (x−4). What are the dimensions of this rectangle in millimeters?

Answers

Answer:

The dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2(L + W)

= 2L + 2W

The perimeter = 46 mm

L = 3x + 3

W = x - 4

P = 2L + 2W

46mm = 2(3x + 3) + 2(x - 4)

46 = 6x + 6 + 2x - 8

Collect like terms

46 +8 -6 = 6x + 2x

48 = 8x

x = 48/8

x = 6

Since the Length = 3x + 3

= 3(6) + 3

= 18 + 3

= 21mm

Since the Width = x - 4

= 6 - 4

= 2mm

Therefore, the dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

PLEASE HELP ME ASAP!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS

Answers

Q1

Answer:

[tex]x \leqslant \frac{5}{3} [/tex]

Step-by-step explanation:

[tex]3x \leqslant 5 \\ 3x \div 3 \leqslant 5 \div 3\\ x \leqslant \frac{5}{3} [/tex]

explanation for second step:

you divide each side by 3 to get rid of the '3' in '3x'

Identify the property shown by the equation.
14 × 6 = 6 × 14

Answers

it’s the reflexive property

Simplify the expression (0.4)^3.
A. 0.64
B. 1.2
C. 12
D. 0.064

Answers

Answer:

Step-by-step explanation:

(0.4)^3= (0.4)(0.4)(0.4)= (0.16)(0.4)= 0.064

the answer is D

cosθ=0.5 (to nearest degree)

Answers

Step-by-step explanation:

Hey, there!!

Given,

cos theta = 0.5

To convert it into angle, you have to take cos to right side making it (cos inverse).

Therefore, theta = cos inverse (0.5)

= 60°.

Hope it helps......

if x=2y+1 what is th e value of 10y-5x

Answers

[tex]x=2y+1[/tex]

what is [tex]10y-5x[/tex]?

all you gotta do is substitute the value of [tex]x[/tex] in the equation:

[tex]x=2y+1\\10y-5(2y+1)[/tex]

now solve for [tex]y[/tex]:

[tex]10y-5(2y+1)\\10y-10y-5=-5[/tex]

so the value of [tex]10y-5x =[/tex] [tex]\boxed{-5}[/tex]

List at least three shapes, other than pentagons, in the table. If the shape is a polygon, indicate whether the shape is regular or irregular. Find the number of times that the shape will map back on to itself as the shape rotates 360° about its center. Also, note how many degrees the shape has rotated each time it maps back onto itself.

Answers

Answer:

See below

Step-by-step explanation:

See attached table

Regular polygon with n sides can map onto itself n times

It will rotate 360°/n about its center every time and will map onto itself

Examples are in the attached table

Answer:

PLATO

Step-by-step explanation:

Simplify 4(5x - 6) - 4(2x + 1) 12x - 5 12x - 20 12x - 28

Answers

Answer:

12x -28

Step-by-step explanation:

4(5x - 6) - 4(2x + 1)

Distribute

20x -24  -8x -4

Combine like terms

12x -28

I really need some help! I'm really bad with mathematics/geometry! Given paralleogram ABCD≅parallelogram EFGH, which congruency statement is true? A. ∠B≅∠E B. BC≅GH C. ∠C≅∠G D. AD≅EF

Answers

Answer:

C

Step-by-step explanation:

The congruency statement ∠ C ≅ ∠ G  is the only true statement.

So option C is the correct option.

Given,

parallelogram ABCD parallelogram EFGH

We need to see the properties of parallelograms and make each property congruent to each other and see which of the options given is true.

The given options are:

A. ∠B≅∠E

B. BC≅GH

C. ∠C≅∠G

D. AD≅EF.

What are parallelograms and their properties?

It is a quadrilateral that has two pairs of parallel sides and the opposite angles are equal.

Properties of a parallelogram :

- The opposite sides are parallel and congruent.

- The opposite angles are equal.

- The consecutive angles are supplementary.

- If any one of the angles is a right angle, then all the other angles will be at    

 a right angle.

- The two diagonals bisect each other.

So if we compare two parallelograms the above properties are congruent.

Let's draw the two parallelograms ABCD and parallelogram EFGH.

 A____________ B                    E____________F

   \                            \                       \                         \

     \                            \                       \                         \

       \                            \                        \                         \

        D_____________C.                   H____________G

The following are congruent:

AB≅EF

BC≅FG

CD≅GH

AD≅EH

∠ A ≅ ∠ E

∠ B ≅ ∠ F

∠ C ≅ ∠ G

∠ D ≅ ∠ H

Checking the above congruent we see that we have  ∠ C ≅ ∠ G in the given option.

Thus, ∠ C ≅ ∠ G is the only correct option.

Learn more about parallelogram here:

https://brainly.com/question/11220936

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Evalute this expression: -4y + 7y - 10 + 3

Answers

Answer:

3y-7

Step-by-step explanation:

-4y + 7y - 10 + 3

Combine like terms

-4y + 7y      - 10 + 3

3y              -7

What is the simplest form of 4^square root of 13 times 4^square root of 13 times 4^square root of 13?

Answers

Answer:

[tex]832 \sqrt{13} [/tex]

Step-by-step explanation:

This question means

[tex]4 \sqrt{13} \times 4 \sqrt{13} \times 4 \sqrt{13} [/tex]

Lets solve it in simplest way

[tex](4 \sqrt{13} {)}^{3} [/tex]

[tex]64 \times \sqrt{13} \times \sqrt{13} \times \sqrt{13} [/tex]

[tex]64 \times \sqrt{139} \times \sqrt{13} [/tex]

[tex]64 \times 13 \times \sqrt{13} [/tex]

[tex]832 \sqrt{13} [/tex]

I hope u like it ‍❤️‍

cooment me for any question

Question 5 of 10
What is the solution to this equation?
5x-4 + 3x = 36

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]5x-4+3x=36[/tex]

Combine like terms:

[tex]8x-4=36[/tex]

Add 4 to both sides. The left side cancels:

[tex](8x-4)+4=(36)+4\\8x=40[/tex]

Divide both sides by 8:

[tex](8x)/8=(40)/8\\x=5[/tex]

Thus, the value of x is 5.

Answer:

The value of x=5

Step-by-step explanation:

1) 5x-4+3x=36

2) (Add 4 to each side so that the 4 cancels out) 5x+3x=40

3) (Combine like terms, 5x and 3x) 8x=40

4) (Solve: divide each side by 8) x=40

5) answer: 5

I hope this helps let me know if I am wrong and good luck

у=x+5 3x+y=25 substitution

Answers

Answer:

(5,10)

Step-by-step explanation:

So we have the system of equations:

[tex]y=x+5\\3x+y=25[/tex]

To solve, we can use substitution.

Substitute the first equation into the second:

[tex]3x+y=25\\3x+(x+5)=25[/tex]

Combine like terms:

[tex]4x+5=25[/tex]

Subtract 5:

[tex]4x=20[/tex]

Divide by 4:

[tex]x=5[/tex]

Now, substitute this into the first equation:

[tex]y=x+5\\y=5+5[/tex]

Add:

[tex]y=10[/tex]

So, our answer is (5,10)

And we are done :)

Select all the statements about the number -3 that are true.
It is an integer.
It is an irrational number.

It is a rational number.
It is a whole number.
It is a natural number.

Answers

Answer:

It is a rational integer.

Step-by-step explanation:

'-3' is rational. It could be written as [tex]\frac{-3}{1}[/tex].

It is also a integer. Integers include all whole numbers and negative numbers without a fraction or a decimal.

Whole and natural numbers are only positive values. And since '-3' could be written as a fraction, it is not irrational.

'-3' is a rational number and an integer.

Hope this helps.

What is the square of 9?

Answers

Answer:

3

Step-by-step explanation:

sqrt9 = 3

I’m pretty sure it is 81.

Can someone please help me with 1-9 Sorry 25 points is all I have

Answers

Answer:

see below

Step-by-step explanation:

5.

VW = 4x - 20

UW = 6X - 35

UV = 19

find x to get UW

UV + VW = UW

19 + 4x - 20 = 6x - 35

x = 17

VW = 4(17) - 20

VW = 48

UW = 6(17) - 35

UW = 67

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

6.

HJ = 7x - 27

HI = 3x - 5

IJ = x - 1

find the value of x

HI + IJ = HJ

3x - 5 + x - 1 = 7x - 27

x = 7

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

7.

BC = 4x - 29

CD = 5x - 9

BD = 7x - 10

find each value

BC + CD = BD

4x - 29 + 5x - 9 = 7x - 10

x = 14

BC = 4(14) - 29

BC = 27

CD = 5(14) - 9

CD = 61

BD = 7(14) - 10

BD = 88

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

8.

BD = BC

BD = 5x - 26

BC = 2x + 1

AC = 43

find AB

BD = BC

5x - 26 = 2x + 1

x = 9

AB + BC = AC

AB + 2(9) + 1 = 43

AB = 24

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

9.

LK = MK

LK = 7x - 10

KN = x + 3

MN = 9x - 11

KJ = 28

find LJ

MK + KN = MN

7x - 10 + x + 3 = 9x - 11

x = 4

KJ + LK = LJ

28 + 7(4) - 10 = LJ

LJ = 46

theo can run 1/2 mile in 1/10 hour. If theo continues at this rate how far can he run in a hour?

Answers

1/2 mile x 10 = 5 miles

A manufacturer of tennis balls has a daily cost of C(x) = 200 − 10x + 0.01x
2
, where C(x) is the
total cost in dollars and x is the number of tennis balls produced. The manufacturer has to
produce between 1500 and 3000 balls. What number of tennis balls will produce the minimum
cost?

Answers

Answer:

1000 tennis balls will produce the minimum  cost

Step-by-step explanation:

Daily cost equation of tennis ball : [tex]C(x)=200-10x+0.01x^2[/tex]

Where C(x)  is the  total cost in dollars

x is the number of tennis balls produced

We are supposed to find number of tennis balls will produce the minimum

cost.

Lead coefficient = 0.01

The lead coefficient is positive, the parabola opens up.

Thus ,the minimum is at the vertex.

[tex]x=\frac{-b}{2a}[/tex]

So, [tex]x= \frac{10}{0.01}\\x=1000[/tex]

Substitute the value of x in given equation:

C(x)=200-10(1000)+0.01(1000)^2

C(x)=200

Hence 1000 tennis balls will produce the minimum  cost

In general, the value measured by the horizontal axis is called the ________
variable.

Answers

Answer:

independent

Step-by-step explanation:

We put the independent variable on the x axis ( or horizontal)  and the dependent variable on the y axis ( or vertical)

Answer:

independent

Step-by-step explanation:

2z-1= -9+ z i need the answer RIGHT NOW

Answers

Answer:

z = -8

Step-by-step explanation:

I'm guessing you want to find out what z is equal to, so here you go.

2z - 1 = -9 + z

2z = -8 + z

z = -8

Answer:

z = -8

Step-by-step explanation:

let's simplify the equation by getting the like terms together.

2z-1 = -9+z

first get the z's on the same side:

2z-z-1 = -9

z-1 = 9

then the constants:

z = -9+1

z = -8

Find the transformations from y=x^2 for the following equation: f(x)=(x+4)^2 -9

Answers

y=x^2 moves right 4, down 9.

find the slope of a line perpendicular to y= -6x+4

Answers

Answer:

-6

Step-by-step explanation:

y= -6x+4 is in y=mx +b

[tex]y= -6x+4 \\Slope =m = -6[/tex]

Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)? distance line plane point

Answers

Answer:

its D

Step-by-step explanation:

just took the quiz

The undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) as a point. Therefore, option D is the correct answer.

We need to identify the undefined geometric term from the options.

There are three undefined terms in geometry :

1) point 2) line 3) plane

What is the point?

A point has zero dimension and it is used to locate a figure on a coordinate plane.

The location of the figure is represented by a point in the form of ordered pairs (x,y), on the coordinate plane where x= abscissa and  y= ordinate.

A line is the one-dimensional straight indefinite path on the plane that has no width.

A plane is a two-dimensional flat surface that extends up to infinity.

Therefore, option D is the correct answer.

To learn more about an undefined geometric term visit:

https://brainly.com/question/949373.

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Which number has a 2 with a value ten times less than the 2 in the number 725,983?

Answers

Answer:

"Which number has a 2 with a value ten times less than the 2 in the number 725,983?"

First, the value of the 2 in the number 725,983 can be find by separatig each digit as:

725,983 = 700,000 + 20,000 + 5,000 + 900 + 80 + 3.

Then the value of the 2 is: 20,000.

Now we want a number that has a 2 with a value then times less than 20,000.

this is:

20,000/10 = 2,000.

Then we want a number that has a 2 in the thousands place.

For example, 132,000 is a number that can be an answer, the only thing you need is that the 2 is in the thousands place (the fourth digit counting from the right)

can anyone help me out with this? If possible, please do all of them

Answers

Answer:

this is all I could find

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