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Olin [163]
2 years ago
7

Mrs. Jolley is thinking of buying solar panels to put on the roof of her new house. The sunny solar company told her that for ev

ery 2 panels, she will save $60 on her electric bill.
(a) Draw a model or make a visual representation for the ratio for the panels to the money that she will save on her electric bill.


(b) Write the ratio of panels to money saved as a reduced fraction.
Mathematics
1 answer:
Nataliya [291]2 years ago
8 0

Answer:

y = $30x ;

1 : $30

Step-by-step explanation:

Given that :

$60 is saved in electricity bill for every 2 panels

Model, y

Amount saved, y = amount saved per panel * number of panels

Let number of panels = x

Hence, total amount saved, y ;

y = $30x

Ratio of panels to money saved :

Number of panels : amount of money saved

2 : $60

1 : $30

Hence, $30 is saved in cost of electricity bill per 1 solar panel purchased.

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A supermarket needs to display 64 boxes of detergent.
Amiraneli [1.4K]
  • All the listed combination of row and boxes are correct and can be chosen from.

From the question, we are asked to find the row arrangement of a stack of boxes. Let us take a look at each one of the aforelisted answers

  • x rows with 16 boxes in each row
  • 8 rows with x boxes in each row
  • 16 rows with x boxes in each row

Since we are told that the total number of boxes to be stacked is 64, then for the first arrangement, we can deduce that the "x" is going to be 4. This is because multiplying 4 by 16 gives 64. For the second row, using the same calculation, we find that "x" is 8. And that of the third gives our "x" to be 4 as well. We can then adjudge that;

  • 4 rows with 16 boxes in each row
  • 8 rows with 8 boxes in each row
  • 16 rows with 8 boxes in each row

Bearing this in mind, we can see that each of the 3 answers fits into the requirements we are asked.

  • At least 3 rows, and at least 4 boxes in each row.

Hence, all of the options are correct.

To learn more about rows and columns, see here brainly.com/question/13196178

5 0
2 years ago
If f(x) = x² – 5, evaluate: f(x+h)-f(x)/<br> h
Likurg_2 [28]

The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.

<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>

In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:

f(x) = x² - 5                                         Given

f' = [(x + h)² - 5 - x² + 5] / h                Definition of derivative

(x² + 2 · x · h + h² - 5 - x² + 5) / h       Perfect square trinomial

(2 · x · h + h²) / h                                Associative, commutative and modulative properties / Existence of additive inverse

2 · x + h                                              Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse

2 · x                                                     h = 0 / Result

The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.

To learn more on derivatives: brainly.com/question/25324584

#SPJ1

6 0
1 year ago
Find the first five terms of the sequence given by a 1 = 2, a n = 3 a n -1 - 1.
lara31 [8.8K]

Answer:

2, 5, 14, 41, 122

Step-by-step explanation:

Using the recursive rule with a₁ = 2

a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5

a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14

a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41

a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122

The first 5 terms are 2, 5, 14, 41, 122

8 0
2 years ago
Read 2 more answers
A box of chalk contains 10 pieces. how many pieces of chalk are in 40 boxes
Ivanshal [37]
10 x 40 = 400 so the answer is 400 pieces of chalk.
3 0
2 years ago
Read 2 more answers
A transformation T : (x, y) → (x + 3, y + 1). Find the preimage of the point (4, 3) under the given transformation. (7, 4) (1, 2
motikmotik

Answer:

(1, 2)

Step-by-step explanation:

Remember that the final shape and position of a figure after a transformation is called the image, and the original shape and position of the figure is the pre-image.

In our case, our figure is just a point. We know that after the transformation T : (x, y) → (x + 3, y + 1), our image has coordinates (4, 3).

The transformation rule T : (x, y) → (x + 3, y + 1) means that we add 3 to the x-coordinate and add 1 to the y-coordinate of our pre-image. Now to find the pre-image of our point, we just need to reverse those operations; in other words, we will subtract 3 from the x-coordinate and subtract 1 from the y-coordinate.

So, our rule to find the pre-image of the point (4, 3) is:

T : (x, y) → (x - 3, y - 1)

We know that the x-coordinate of our image is 4 and its y-coordinate is 3.

Replacing values:

                (4 - 3, 3 - 1)

                (1, 2)

We can conclude that our pre-image is the point (1, 2).

6 0
2 years ago
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