In Town A, homeowners pay a $25 monthly usage fee and $3 per hundred cubic feet for water. In Town B,
homeowners pay $2.00 per hundred cubic feet and a $50 monthly usage fee for water.
2.
1. Can these situations be represented by linear functions? Why? Why not?
Predict: If you graph both of these water costs on the same axes, will the graphs form the same line,
intersect at one point, or form two separate lines that never intersect? Explain your reasoning.
3. Write equations, in slope-intercept form, for a homeowner's monthly water cost in Town A and Town B,
where y is the total cost for x hundred cubic feet of water.

Answer:

I think it's the Distributive Property

Step-by-step explanation:

I think it's this because in order to get the parentheses out you have to multiply by the outside number.

5(x+2) and get 5x+10

1. If payments are made at the end of each period, the amount of money that will be in the account in 18 months (future value) is $2,094.46.

2. The total interest that Karl earned will be $294.46.

3. Total amount: $2,094.46

Interest earned = $294.46

The future value is the future cash deposits compounded at an interest rate for a period.

The future value can be computed using the future value table or future value formula.  It can also be computed using an online finance calculator.

N (# of periods) = 18 months

I/Y (Interest per year) = 21% (or 1.75% monthly)

PV (Present Value) = $0

PMT (Periodic Payment) = $100

Results:

Future Value (FV) = $2,094.46

Sum of all periodic payments = $1,800 ($100 x 18)

Total Interest = $294.46

Thus, the total future amount in the account will be $2,094.46 with an interest of $294.46.

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Using derivatives, the equation for the marginal product of labor is given by:

Q'(L) = 5 - 2L.

As stated in the problem, the “marginal product of labor” is the change in the total product as we change the amount of hired labor, hence it is given by the derivative of the production as a function of labor.

For this problem, the production function is given by:

Q(L) = 5L - L².

Hence the marginal product of labor is given by:

Q'(L) = 5 - 2L.

Which is the derivative of Q(L), found applying the derivative of a power of x, as follows:

[x^n]' = nx^(n-1).

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Answer:

The opening and shutting of a lunchbox, solving a Rubik's cube, and never-ending parallel railway tracks are a few everyday examples of corresponding angles.

Answer:

Step-by-step explanation:

e

Answer:

down below

Step-by-step explanation:

Brooke's team won 55%. 9 out word of 17 is 52.94% and 7 out of 13 is 53.85%. Now, we compare the numbers. 55% is more so, Brooke's team had the best winning percentage.

Hope this helps! :)

The amount he would pay is $46.40.

Percentage can be described as the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentages is %.

The amount paid = list price of the first shirt + [list price of the second shirt x ( 1 - percentage discount)]

$29 + [$29 x (1 - 0.4)]

$29 + ($29 x 0.6) = $46.40

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Answer:

-x^2-2xy-3x

Step-by-step explanation:

Answer:

7561413

Step-by-step explanation:

6561413+1000000=    Equals Calculator Answer/////7561413

Answer:

7561413

Step-by-step explanation:

The calculator it equals 7561413

Step-by-step explanation:

1 = 7cm2

4 = 4 × 7

= 28cm2

Since 1 is 7 then 4 will multiple of 7

Answer:

5 3/5

Step-by-step explanation:

Answer:

a)9

b)3

c)22

Step-by-step explanation:

(only in 7th so could be wrong)

a

13+7·2

13+14

27

-----------

8-(3+2)

8-3-2

3

----------

27/3

9

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

b

9+3²

9+9

18

----------

2²+2

4+2

6

--------

18/6

3

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

c

(10+2)+(4²-6)

10+2+4²-6

12+16-6

12+10

22

The answer is (-∞.∞).

Draw out a number line. Plot 0 and -4 on the number line.

Shade to the left of x = 0, and have a filled in circle at the endpoint. This is the graph of x≤0

Then graph x ≥−4 by plotting a filled in circle at -4, and shading to the right.

Note how the two graphs overlap to cover the entire real number line

So if we have x≤0  or  x≥−4 then we're basically saying x is any real number. To write this in interval notation, we write (−∞,∞)

This is the interval from negative infinity to positive infinity (or just infinity). We exclude each endpoint because we can't actually reach infinity itself. Infinity is not a number. Infinity is a concept

Side note: if you change the "or" to "and", then the solution to x≤0  and  x≥−4 would be [-4, 0][−4,0] to indicate the interval from x = -4 to x = 0, including both endpoints. This is the region where the two graphs overlap.

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Answer: -8, -3, 2, |-6|

Step-by-step explanation:

-3 , -8, |-6|, 2

|-6|=6

6>2

-3>-8 since a negative number closer to 0 is the greater number.

Order: -8, -3, 2, 6 ==> -8, -3, 2, |-6|

Justin says that the equation for the circle is (x−2)^2+(y+1)^2=4 . The error is  in RHS there should be a square of radius like 16 should be come in RHS instead of 4.

A line that is bent such that its ends meet and all of its points are equally spaced from the middle. We gathered in a circle around the hearth. 2: something shaped like or like a circle.

Dimensional terms include circumference, diameter, radius, chord, segment, tangent, point of contact, arc, angles on major and minor arcs, angle of center, and sectors. A circle's circumference is the distance that surrounds it.

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Step-by-step explanation:

9/32 or 0.28125

hehhehehehehehhehehehe

Answer:

Hello,

Step-by-step explanation:

[tex]\dfrac{\dfrac{3}{8} }{\dfrac{3}{4} } =\dfrac{0.375}{0.75}=\dfrac{375}{750} =\dfrac{1}{2} =0.5\\\\--------------------------------\\\\\dfrac{\dfrac{3}{8} }{\dfrac{3}{4} }=\dfrac{3}{8} * \dfrac{4}{3} \\\\\\=\dfrac{4}{8}\\\\=\dfrac{1}{2}\\\\=0.5\\[/tex]

Answer:

red/pink: l = V/wh

Step-by-step explanation:

Divide both sides by wh.

Answer:

Infinite Solutions

Step-by-step explanation:

3(4x + 6) = 2(6x + 9)

Distribute coefficients

12x + 18 = 12x +18

Same equations which means infinite solutions

Answer:

x = 1

Step-by-step explanation:

2 x [tex]x[/tex] = 10

10 > -10

9 x [tex]x[/tex] = 9

9 < 18

The solution of the function f(x) = 13 is x= 3

According to the question we have been the function f(x), that i s

   f(x) = x² + 4

We need to find the value of x where we have been given that

  f(x) = 13

Therefore, we will put the required value of function f(x) in the above condition we get

 x² + 4 = 13

Subtracting 4 both the sides we get,

 x² + 4 - 4 = 13 - 4

 x² = 9

Taking square root both sides we get,

√x² = √9

  x = 3

Hence the value of x is 3.

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When the surface area is 275 square inches, the radius is approximately 6.17 inches.

The entire area that is occupied by the flat surfaces of the cylinder's bases and its curving surface is known as the surface area of a cylinder. A curved surface area and two flat surface areas make up the cylinder's total surface area.

Let's find out more about what a cylinder's surface area is and how to determine a cylinder's total surface area and lateral surface area.

Total surface area of cylinder=[tex]2\pi r^2 + 2\pi rh[/tex]

Let the total surface area of the given cylinder be written as A(x).

[tex]A(x)=2\pi r^2+2\pi rh\\[/tex]

Now given A(x)=275 and h=8 inches.

[tex]A(x)=2\pi r^2+2\pi rh\\or,275=2\pi(r^2+r8)\\or,r^2+r8=275\div 2\pi\\or,r^2+8r+16=87.535+16\\or,(r+4)^2=\sqrt{103.535}\\or,r+4=10.1752\\or,r=6.1752\\or,r\approx6.17[/tex]

The radius is 6.17 inches when the surface area is 275.

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Answer:

the answer is = 1.125

Step-by-step explanation:

hopefully this helps!

Number of cubs are less than 9.

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.

NO. OF LIONS = 9

Cubs are fewer than 9

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Answer:

Answer:A.)2x^2 + 5x + 3

Step-by-step explanation:

Answer:

here is my answerrrrrrrrrrrrrr

The image of the triangle when rotated is F'(-2,-2), E(0, -3), D(-5,-5)

The vertices of the triangle are given as:

F(2,-2), E(3,0), D(5,-5)

The transformation rule is given as

90 degrees rotation

The rule of 90 degrees rotation is

(x,y) = (y , -x)

When the above rule is applied to the vertices of the triangle, we have:

F'(-2,-2), E(0, -3), D(-5,-5)

Hence, the image of the triangle when rotated is F'(-2,-2), E(0, -3), D(-5,-5)

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Answer:

The figure is reflected over y = -2

Step-by-step explanation:

If you draw a horizontal line through y = -2, so will see that every point is the same distance from y = -2 but in the opposite direction.  For example, Point w is 3 units above  y= -2 and w' is three units below y = -2. That is true for every point on original to the image.

Answer:

No

Step-by-step explanation:

The x-value of 2 maps onto two values of y, 3 and 4, meaning the relation is not a function.

Answer:

0.2777777777777

Step-by-step explanation:

To find the decimal of a fraction, you must divide the numerator by the denominator

5/18 = 0.27  (write a line ontop of the 7 to show that the 7 repeats)

Answer:

Option 4

Step-by-step explanation:

[tex]2.54 \times 10^{19}+3.218 \times 10^{17} \\ \\ =(254+3.218) \times 10^{17} \\ \\ =257.218 \times 10^{17} \\ \\ =2.57218 \times 10^{19}[/tex]

Answer:

2.57218*1019

Step-by-step explanation:

Answer:

it's easy

just use the formulary given and insert the values to Their given letters