QUESTION 18
A natural gas company charges a fixed customer fee of $ 12.60 every
month even if no natural gas is used. For every unit of natural gas used,
the customer is charged an additional $0.64.
a. Using was the number of units used in a month and y as the total
monthly cost, write an equation that fits this problem.

Answers

Answer 1

Answer:

y = 0.64w + 12.60

Step-by-step explanation:

This is a linear relationship y= mx + b and:

The y-intercept is b = 12.60The slope is m = 0.64

The monthly total is:

y = 0.64w + 12.60

Related Questions

Pls help me find the answer of the ratio ​

Answers

Answer:

pretty sure it's 10 1/2

Answer:

I think the answer is D. 12 1/2

Step-by-step explanation:

If you add up the two thing it becomes: 15 cups of flour and 6 cups of milk. So if you divide 15 by 6, it's 2.5. Now all you have to do is 5 (since there are 5 cups of milk) times 2.5, and you get 12.5. And 12.5 is 12 1/2 in fraction form. Hence, the answer is D. 12 1/2.

1 X 30 =
0.1 X 30 =
0.01 X 30 =

Answers

Answer: 0.3

Step-by-step explanation:

i used a calculator ya hope this helps

Use the point-slope form to find the equation of the line that goes
through the point (7,1) with slope 7. Write your final answer in
slope-intercept form.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]y = 7x - 48[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{\underline{Point-Slope Form Is:}}}\\\\y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\\\boxed{\text{\underline{Key:}}}\\\\$\bullet \text{ }(x_1,y_1) - \text{Point Given}\\\\$\bullet \text { } m - \text{Slope Given}\\\rule{150}{0.5}\\\\\boxed{\text{\underline{Information Given:}}}\\\\$\bullet\text { } (7,1) - \text{Point}\\\\$\bullet\text{ } 7 - \text{Slope}\\\rule{150}{0.5}\\\\\text{Replace the variables with the appropriate value.}\\\\y-y_1=m(x-x_1)\\\\\text{\textbf{Becomes...}}\\\\[/tex]

[tex]\boxed{y-1=7(x-7)}\\\rule{150}{0.5}[/tex]

[tex]\boxed{\text{\underline{Converting into Slope-Intercept:}}}\\\\y-1=7(x-7)\\\rule{150}{0.5}\\\\\rightarrow y - 1 = 7x - 49\\\\\rightarrow y - 1 + 1 = 7x -49 + 1\\\\\rightarrow \boxed{y=7x -48}\\\rule{150}{0,5}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

What statement is true

Answers

The first one because the slope of B is 3.


Using the method of completing the square, rewrite x² – 14x in the form (x + b)2 +c.
x2 – 14x = x(x - 14)
x² – 14x =

Answers

If you want to have

[tex]x^2-14x = (x+b)^2+c[/tex]

notice that expanding the right side gives

[tex]x^2-14x = x^2+2bx+b^2+c[/tex]

so that

[tex]\begin{cases}2b=-14 \\ b^2+c=0\end{cases}[/tex]

It follows that b = -7 and c = -49. Then

[tex]x^2-14x = \boxed{(x-7)^2-49}[/tex]

Use the given information to write an equation and solve the problem.
(28-31 in the picture)

Answers

Answer:

28. 120 degrees

29. 30 degrees

30. 56 degrees & 124 degrees

31. 72 degrees, 108 degrees, and 18 degrees

Step-by-step explanation:

We assign variable x for the answer we are looking for (28-29).

28.

Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.

29.

Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.

30.

Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.

31.

Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees.  Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees.  Therefore, x = 72 degrees, y = 108 degrees.

Answers :
28/ 120 degrees
29/ 30 degrees
30/ 56 & 124 degrees
31/ 72, 108, 18 degrees

Find the length s of the circular arc. (Assume r = 2 and = 116°.)

Answers

Answer:

length of an arc = θ/360 × 2πr

θ=116°

r=2

π= 3.14

l= 116/360 ×2×3.14×2

l= 4.047= 4.05cm

simplify each expression by combining like terms -x+8x

Answers

The answer to your question is: 7x

Answer:

7x

Step-by-step explanation:

when you add -1 aka -x to 8 8x it takes away one, so 7x

help me guys !!!!!!!!​

Answers

Answer:

67

Step-by-step explanation: because your x for y and x

what are the steps to this math problem 3+6(5+4)=

Answers

solve parentheses first then multiply 9 and 6 you get 54 add 3 = 57
Parentheses
Exponents
Multiply
Divide
Add
Subtract

start w parenthesis 5+4=9
6x9=57
57+3=60

Factor -4 out of 12x+20

Answers

Answer:

-4(3x-5)

Step-by-step explanation:

you pull out a -4

Help me pls

Thank u ☺️

Answers

Answer:

Step-by-step explanation:

Add the -5.57 to both sides then divide it by 2 which is -0.91

Question
Find the equation of the line with slope m
=
2 that contains the point (8,19).

Answers

Answer: y= 2x + 3

Step-by-step explanation:

Point slope formula: y = mx + b

Since the given point is (8,19), 19 is our y, and 8 is our x. Since the slope is 2, our m is 2.

Sub in values.

y = mx + b

19 = 2(8) +b

19 = 16 + b

b = 19-16

b = 3

Now that we have m and b, we can make the equation.

y = mx + b, sub in 2 for m and 2 for b

y = 2x + 3

19 = 2(8) + 3

19 = 16 + 3

19 = 19

So the answer is y = 2x+3

According to www.cleanair.org, the amount of trash generated in the US in one year
averages out to 112,000 pounds of trash per person. Write this number in scientific
notation.

Answers

Answer:

The scientific notation:11,200×10^1

1,120×10^2

112×10^3

11.2×10^4

1.12×10^5

0.112×10^6

Step-by-step explanation:

PLS MARK BRAINLIEST

No links pls

Evaluate 6 to the power of negative 2

A. -1/36
B. -12
C. -36
D. 1/36

Answers

Answer:

Positive 1 over 6 raised to the 2nd power 1/62 or 1 over 36 which is 1/36. To find -6-2, take the inverse of -62.

(first find -62) -62 = -6 * -6 = 36

(then take the inverse of 36, which is 1 over 36) = 1 / 36 = 0.0277

so, -6-2 =0.0277

Step-by-step explanation:

Answer:

whqt other dude said B)

Step-by-step explanation:

Use the graph to determine the y intercept

Answers

Answer:

y intercept is where it crosses the y axis so therefore the 9 intercept has got to be 9.

the roots of the graph show that:

zeros: -3, -1, 1, 3 y-intercept: 9

Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate

Answers

Step-by-step explanation:

Area of a Triangle:

bh/2

8 ft is the given height

6 ft is the given base (or width)

(8)(6)/2

48/2

= 24 ft²

In addition to this, we will have to find the area of the semicircle.

Area of a Semicircle:

πr²/2

The question tells us to use 3.14 in place of π.

3.14r²/2

The diameter is 8 ft as it is given to us in the diagram, but in the formula we would have use the radius, and because the radius ia half of the diameter we will divide 8 by 2.

8/2

= 4

3.14(4)²/2

Solve...

3.14(16)/2

50.24/2

= 25.12 ft²

Now that we have found the area of both the triangle and the semicircle, we can add them together to find the area of the figure.

24 ft² + 25.12 ft²

= 49.12 ft²

Our final answer is A=49.12 ft² because it is already in the hundredths place.

Find the sides of a rectangle whose area is given as x2 +15x +56.

Answers

(x+7) (x+8) so the sides of the rectangle is 7 and 8

x^2 + 15x + 56

Good way to factor quadratic functions:

In a function x^2 +bx + c

Find two number that when multiplied together will form c (in our case 56) and that when added together form b (in our case 15)

Number 1 x Number 2 = 56

Number 1 + Number 2 = 15

Number 1 = 8

Number 2 = 7

(It'll be easier to find these numbers with practice)

Now in the function instead of bx, split it and use (number 1)x + (number 2)x

It's allowed because it's the same value since N1 + N2 = bx already

x^2 + 15x + 56

Now is:

x^2 + 8x + 7x + 56

Now you can factor this function much easily because it can transformed into:

(x + 8)(x) + (x + 8)(7)

x + 8 is the common factor

it can become:

(x + 8) (x + 7)

The sides of the rectangle are 8 and 7

Hope this helps you with factoring :)

What is the equation written in vertex form of a parabola with a vertex of (9, -1) that passes through (7. 7)?
O
A. y = 2(x - 992 - 1
B. y = 2(x + 1)2 - 9
O C. y = 2(x - 7)2 + 7
D. y = 7(x - 9)2 - 1

Answers

Answer:

[tex]y = 2\, (x - 9)^{2} - 1[/tex].

Step-by-step explanation:

If the vertex of a parabola is [tex](h,\, k)[/tex], there would exist a constant [tex]a[/tex] ([tex]a \ne 0[/tex]) such that the following would be an equation for this parabola:

[tex]y = a\, (x - h)^{2} + k[/tex].

The equation above is in the vertex form.

In this question, the vertex of this parabola is [tex](9,\, -1)[/tex]. (Such that [tex]h = 9[/tex] and [tex]k = -1[/tex].) Therefore, the equation of this parabola in the vertex form would be:

[tex]\text{$y = a\, (x - 9)^{2} + (-1)$ for some $a \ne 0$}[/tex].

It was also given that the point [tex](7,\, 7)[/tex] is on the parabola. In other words, if [tex]x = 7[/tex] and [tex]y = 7[/tex], the equation of this parabola ([tex]\text{$y = a\, (x - 9)^{2} + (-1)$}[/tex]) should be satisfied. In other words:

[tex]7= a\, (7 - 9)^{2} + (-1)[/tex].

Solve this equation for [tex]a[/tex].

[tex]a = 2[/tex].

Therefore, the equation of this parabola in vertex form would be[tex]y = 2\, (x - 9) + (-1)[/tex], which is equivalently [tex]y = 2\, (x - 9)^{2} - 1[/tex].

A geometric sequence h starts at 16 and has a growth factor of 1.75 what are the first 5 terms

Answers

16, 17.75, 19.5, 21.25, 23, 24.75

The required first five-term of the geometric progression is 16, 28, 49, 85.75, 150.06.

Given that,
A geometric sequence h starts at 16 and has a growth factor of 1.75 what are the first 5 terms is to be determined.

What is geometric progression?

Geometric progression is sequence of series whose ratio with adjacent values remains same.

Here,
For the geometric progression,
a = 16
r = 1.75
The required sequence is given as,
1st = a = 16
2nd = ar = 16 (1.75) = 28
3rd = ar² = 16(1.75)² = 49
Similarly,
4th = 85.75
5th = 150.06

Thus, The required first five-term of the geometric progression is 16, 28, 49, 85.75, 150.06.

Learn more about geometric progression here: https://brainly.com/question/4853032

#SPJ5

In Exercises 15–20, find the remaining zeros of a polynomial
P(x) with real coefficients and with the specified degree
and zeros.
19. Degree 6; zeros: 0, 5, 1, 3i

Answers

Answer:

sending love to you that work is hard

Answer:

Assuming that the multiplicities of the five aforementioned                         roots ( {0, 5, 1, 3i, -3i} ) are each 1, the 6th zero can be any real number.  

Step-by-step explanation:

Because P(X) has real coefficients, and 3i is a zero, we conclude that -3i is also a zero of P(X).  Assuming that the multiplicities of the five aforementioned   roots ( {0, 5, 1, 3i, -3i} ) are each 1, the 6th zero can be any real number.  

what is 0.8^2 3.15 please i need the answer by tonight

Answers

Answer:

2.016

Step-by-step explanation:

In your equasion, I couldn't tell if you need to multipy 0.8^2 by 3.15 or are you asking something else? If you want to multiply, the answer is 2.016.

There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?

Answers

Answer:

5/14

Step-by-step explanation:

There are 5 red marbles out of 8.

The probability of the first red:

P(r1) = 5/8

Now we have 7 total marbles and 4 of them are red.

The probability of the second red:

P(r2) = 4/7

The probability of two red is:

P(rr) = 5/8*4/7 = 5/14

An opaque bag contains 27 yellow marbles and 9 teal marbles. If two marbles are randomly chosen from the bag at the same time, find the probability that both marbles are teal. Round your answer to four decimal places.

Answers

Answer:

1 out of 9

Step-by-step explanation:

I did this on khan academy a minute ago

Probability that both marbles are teal is 0.0571

What is probability ?

Probability is a field of mathematics concerned with numerical representations of the likelihood of an event occurring or a statement being true.

What is the probability that both marbles are teal ?Using the given information

Number of yellow marbles = 27

Number of teal marbles  = 9

Two marbles are drawn randomly

Probability that both marbles are teal

[tex]=\frac{9}{36}\times \frac{8}{35} \\=0.0571[/tex]

Hence the probability that both marbles are teal is 0.0571.

Learn more about the probability at

https://brainly.com/question/25870256

#SPJ2

Arrange these numbers in order from least to greatest.

0.125

2.5%

1/4 ​

Answers

Answer:

2.5%, 0.125, 1/4

Step-by-step explanation:

Given the definitions of f(x) and g(x) below, find the value of
(gof)(0)
f(x) = -3x + 5
g(x) = 2x² + 2x - 3

Answers

Answer f(x)= -3x + 5Hope it helps liked my answer please

someone help please haha​

Answers

Answer:

{-8, -7, 0, 6, 9}

Step-by-step explanation:

1. The range of a relation is the set of its possible output values, also known as the y-values of a function.

2. Let's find the y-coordinate of each point.

[tex]9, 6, 0, -7, -8[/tex]

3. Now, let's order them (from least to greatest) to get the range.

[tex]-8, -7, 0, 6, 9[/tex] {-8, -7, 0, 6, 9}

Therefore, the range of this relation is {-8, -7, 0, 6, 9}.

Help help pleaseplaaZa help

Answers

Answer: 10

Step-by-step explanation:

using ratio;

[tex]\frac{4}{x} =\frac{2}{5}[/tex]

[tex]\frac{4}{2} = \frac{x}{5}[/tex]

2 × 5 = x

x = 10

please give me a brainliest answer


Is the graph of g(x) =x2 - 1
symmetric with respect to the origin? Explain how you determined your answer.

Answers

Cancel the 2 to get x then x-1 divided by x

5(2x – 3) = x – 15 + 9x for x

Answers

see the attachment

hope it helps

Answer:

Step-by-step explanation:

5(2x – 3) = x – 15 + 9x

10x-15=10x-15

10x-10x=15-15

0=0

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