Select all situations that can be modeled with a linear function. A taxi charges an initial fee of $2.00 and $1.50 for each additional mile. Apopulation in a town decreases by 15% each year. An airplane flying at an altitude 33,000 feet descends at a rate 20 feet per minute. A pizza restaraunt charges $5.50 per pizza, and $0.50for each additional topping. A cell phone doubles in time every two years

Answers

Answer 1
The taxi, the airplane, and the pizza can be shown as linear functions
Answer 2

Answer:

Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.

Step-by-step explanation:

Linear function These are those function which are drawn as straight line graph with constant slope.

Here  

Taxi charges  (y) = $2 + 1.50 ( x )

Airplane descends with the slope constant slope of 20 feet per minute.

Pizza charge ( y ) = $5.50 + 0.50 ( x )

Thus from the above equated equation we can conclude Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.

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Related Questions

42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3 = 0

Answers

Answer:

      Roots:  0.79 and 3.79

Step-by-step explanation:

[tex]x^2 + 3x - 3 = 0\\a=1\,,\ \ b=3\,,\ \ c=-3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-3)}}{2\cdot1}=\dfrac{-3\pm\sqrt{9+12}}{2}=\dfrac{-3\pm\sqrt{21}}{2}\\\\x\approx0.79\quad or\quad x\approx3.79[/tex]

Peter is x years old and his sister is 5 years older. If the product of their ages is 84, form an equation in x and solve it to find peter's age

Answers

Answer:

x^2 + 5x - 84 = 0

x = 7

Step-by-step explanation:

let the sister's age = y

sister's age (y)  = 5 + x  equation 1

xy = 84  equation 2

Make y the subject of the formula in equation 2

y = 84/x

equate equation 1 and 2

84/x = 5 + x  equation 3

Multiply equation 3 by x

84 = 5x + x^2

x^2 + 5x - 84 = 0

tjis can be solved using quadratic equation

x^2 -7x + 12x -84 = 0

x(x + 12) -7(x + 12)

x = 7 or - 12

age cant be negative so his age is 7

Personal Finance
Which of these statements is false?
All states have state income taxes.
Different states have different tax rates.
Some states consider some income to be tax free.
Some states tax all taxable income at the same rate; they have a flat tax rate.

Answers

Answer:

Some states consider some income to be tax free. this statement is false

it would probably go with one of the first 2. they sound opposite of each other. probably go with the first 1?

sorry if I'm wrong

​Find the probability that first marble picked is green and second marble picked is red.
​Write your result as a percentage.


Answers

Since there’s 6 marbles and there’s 3 greens and 2 reds, we’re finding P(A and B). Where P(A) is first marble picked is green, and P(B) is second marble picked is red.

P(A) = 3/6

(Because the first marble as already been picked there’s 5 marbles left) so:

P(B) = 2/5

Now we have to find the probability of A and B

P(A and B) = 3/6 • 2/5 = 1/5 = 20%

Answer:

20%

Step-by-step explanation:

3 green, 1 brown, 2 red

3 + 1 + 2 = 6

Total: 6

The probability of picking a green one is 3/6 or 1/2.

———————————————————————

2 green, 1 brown, 2 red

2 + 1 + 2 = 5

New total: 5

The probability of picking a red one is now 2/5.

———————————————————————

First, we multiply them by each other.

2/5 x 1/2 = 1/5

Next, we convert 1/5 to a percentage to get our final answer.

1/5 x 20 = 20/100, which is 20%.

So our final answer is 20%.

I need help, please!!!!!!!!!!!!

Answers

Answer:

Its d!!!!!! Welcome!

Step-by-step explanation:

The ending time is 8:22 P.M. and the elapsed time is 2 1/4 hours what’s the starting time?

Answers

Answer:

6:07

Step-by-step explanation:

8:22 minus 2 hours is 6:22, 1/4 an hour is 15 minutes so 22 minus 15 is 7, leading to the answer of 6:07 being your start time.

Find the surface area of the cube and show your work please : )

Answers

Answer:

150 cm.

Step-by-step explanation:

There 6 squares in a cube.

**SQUARES HAVE EQUAL SIDES.**

To find the area of an individual square, multiply the side length by itself twice. (x^2)

The side lengths of the squares are 5.

5 x 5 = 25.

25 is the area of each individual square.

Since there are 6 squares in total, multiply 25 by 6.

25 x 6 = 150.

Therefore, 150 cm is the surface area of the cube.

will mark brainliest! someone please help me find the area of this!

Answers

60.75 Should be the answer 4.5*3+12*3+7.5*3/2

8 On a map, a trapezoidal piece of farmland has base lengths of 1.25 inches and 1 inch, and a height of 1.1 inches. The scale on the map is 1 inch = 100 yards. What is the actual area of the farmland?

Answers

formula 3.35 times something

Volume of Cylinders and Prisms

Answers

So what is the question?

Formula for finding cylinder:

π • r

This will find the area of the Base (B)

Then you multiply by the height given.

V= π• r • h

Just plug in the numbers

Formula for a rectangular prism:

Find the length • width

This is the area or base area (B)

Then multiply by the h

V= l•w•h

Hope this helps

Marty has read 32% of his 400-page library book. How many pages has Marty read?

Answers

Answer:

128 pages

Step-by-step explanation:

[tex]0.32*400[/tex]

[tex]=128[/tex]

In total, Marty had read 128 pages of his book.

Is -2 x 4 positive or negative? please help i have 19 missing assignments ​

Answers

Answer:

-8

Step-by-step explanation:

a negative number multiplied by a positive one gives as a result a negative number

-2 x 4 = -8

What is the measure of the missing angle

Answers

Answer:

dont you just subtract 90-61 to get 29 since a triangle is 90 degrees

Which expression is equivalent to
d12,
1000
0 100034
0 10006
otos
o too

Answers

Answer: C

Divide powers by 3 and cube root 1000 to get the answer.

what is the highest fractions 2/4 5/6 3/2 1/9 4/5 8/2 ​

Answers

Answer:

8/2

eight halves

Step-by-step explanation:

please mark this answer as brainliest

Identify the equation of the circle B that passes through (5,1) and has center (3,0).

Answers

Answer:

Are you saying look for the slope? because if so can help

Step-by-step explanation:

Answer:   (x − 3)2 +  y2 = 5

a. (x + 3)2 +  y2 = 5

b. (x − 3)2 +  y2 = 25

c. (x − 3)2 +  y2 = 5

d. (x + 5)2 + ( y + 1)2 = 25

Step-by-step explanation:

Begin by determining the length of the radius for the circle. A radius is a line segment from the center of the circle to any point on the circle. Find the length of the radius using the Distance Formula.

r= √(x2 − x1)2 + (y2 − y1)2

Substitute the given values for the center of the circle and the point on the circle into the distance formula and solve for r.

r= √( 5− 3)2 + (1 − 0)2

= √22 + 12

= √4 + 1

= √5

So, the length of the radius is √5 units.

The equation of a circle with center (h, k) and radius r is (x − h)2 + (y − k)2 = r2. Substitute the value for the radius and the coordinates of the center of the circle into the equation.

(x − 3)2 +(y − 0)2 = (√5)2

Simplify.

(x − 3)2 + y2 = 5                                                                                            Therefore, the equation of the circle B that passes through (5, 1) and has center (3, 0) is (x − 3)2 +y2 = 5.

If i have 23 liters in a bucket and i pour it into 4 smaller buckets, how many liters will each bucket have?? PLS HELP

Answers

5.75 I THINK I’m not sure

If -5x-9y=5 is a true equation,would be the value of -5x-9y+2?

Answers

i’m pretty sure it would be equal to 7

Calculate the value of b.
(b-15)
3b°
(2b + 45°
Diagram not drawn accurately​

Answers

Answer:

b = 30

Step-by-step explanation:

The sum of the 2 angles above the line will equal the angle below the line

3b + b - 15 = 2b + 45

4b - 15 = 2b + 45 ( subtract 2b from both sides )

2b - 15 = 45 ( add 15 to both sides )

2b = 60 ( divide both sides by 2 )

b = 30

Can you guys help me I’m a big stuck on this one ?!

Answers

Answer:

the first one

Step-by-step explanation:

AC and AE because it look like it’s going in a diff angle

Write the quotient as a mixed number. 99 ÷ 5 = 19 R4
PLEASE HELP :(

Answers

Answer:

19 4/5

Step-by-step explanation:

99 = 5*19 + 499/5 = 19 + 4/599/5 = 19 4/5

Answer:

Solution given

99/5=19 4/5 is your quotient in mixed number.

[tex]f(x)=1/3(4-x)² what is the value of f(16)[/tex]

Answers

Answer:

wheneveryouseeanxonthe

rightputa16thatwhatf(16)

means.

f(16)=

3

1

(4−16)

2

f(16)=

3

1

(−12)

2

f(16)=

3

1

(144)

f(16)=48

[isyouranswer]

Step-by-step explanation:

mark me as brainliest.oky?

Find the surface area of the figure.
8 ft
19 ft
14 ft
12.1 ft
5 ft

Answers

Answer:

132.00

Step-by-step explanation:

The surface area of the composite figure is S = 706.4 feet²

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the area of the figure be S = 2 ( area of trapezium ) + 2 ( area of opposite rectangles ) + ( area of smaller rectangle ) + area of larger rectangle

On simplifying , we get

2 ( area of trapezium ) = ( a + b ) x h

2 ( area of trapezium ) = ( 19 + 5 ) x 12.1

2 ( area of trapezium ) = 290.4 feet²

Now , 2 ( area of opposite rectangles ) = 2 ( 14 x 8 )

2 ( area of opposite rectangles ) = 224 feet²

Area of smaller rectangle = 5 x 8 = 40 feet²

Area of larger rectangle = 8 x 19 = 152 feet²

Therefore , S = 290.4 feet² + 224 feet² + 40 feet² + 152 feet²

S = 706.4 feet²

Hence , the area of the figure is S = 706.4 feet²

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Help

this should be an easy math question but I learned it a long time ago so help me

Answers

C) Line a increases more rapidly than line B
Ik that’s it’s either a or c, but I think it is a because the graph doesn’t tell you the speed.

Abigail's decorating business charges a initial fee of $100 plus an additional $13.50
for every hour worked. How much would Abigail earn for 3 hours worked?
O $113.50
O $127.50
O $154.00
O $140.50

Answers

Answer: $140.50

Step-by-step explanation: Just multiply $13.50 by 3 then add the $100 initial fee.

A company sells $982 worth of
merchandise this month. This is $40
more than twice the amount
they sold last month. Write a equation
to determine how much they sold
last month.

Answers

Answer:

2x+40=982

Step-by-step explanation:

The shapes that 5 students drew are shown below

Answers

The answer is b because Ashley and Camden are the only quadrilaterals

The shapes that are quadrilateral drawn by the students are Ashley , Camden and Hayden

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the quadrilateral drawn by the respective students be A

Now , the value of A is

The quadrilateral drawn by Ashley has 4 sides

So , it is a quadrilateral

Now , the shape drawn by Camden also has 4 sides

So , it is a quadrilateral

And , the shape drawn by Hayden is a polygon that has 4 side

Hence , the quadrilateral are drawn by Ashley , Camden and Hayden

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Liz flips a coin 30 times. Coin lands heads up 12 times and tails of 18 times. Each statement.

Answers

Answer:

Step-by-step explanation:

Its 50% for the first one

4x−(2x−9)−12x How many terms, constants, and coefficients?

Answers

3 Coefficients 1 Constant but i’m not sure what you mean by terms.

construct the linear equation for the table

Answers

You can use demos graphing calculator it will help you a lot
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