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Olin [163]
3 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]3 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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Connor wants to attend the town carnival. The price of admission to the
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Answer:

14 rides

Step-by-step explanation:

16 = 0.79x + 4.5

11.5 = 0.79x

x = 14.55 or 14

rounding down because it can't go over $16.

0.79(14) + 4.5 = $15.56

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3 years ago
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3 years ago
what is te discontinuity of the function f(x) = the quantity of x squared plus 6x plus 8 all over x plus 4?
seropon [69]

Answer:

A hole at x=-4.

Step-by-step explanation:

This is a fraction so we have to worry about division by zero.

The only time we will be dividing by 0 is when x+4 is 0.

Solving the equation

x+4=0 for x:

Subtract 4 on both sides:

x=-4

So there is either a vertical asymptote or a hole at x=-4.

These are the kinds of discontinuities we can have for a rational function.

If there is a hole at x=-4, then x=-4 will make the top zero and can be cancelled out after simplification.

If is is a vertical asymptote, x=-4 will make the top NOT zero.

Let's see what -4 for x in x^2+6x+8 gives us:

(-4)^2+6(-4)+8

16+-24+8

-8+8

0

Top and bottom are 0 when x=-4.

Let's see what happens after simplication.

We are going to factor a^2+bx+c if factorable by finding two numbers that multiply to be c and add up to be b.

So what 2 numbers together multiply to be 8 and add up to be 6.

I hoped you said 4 and 2 because (4)(2)=8 where 4+2=6.

\frac{x^2+6x+8}{x+4}=\frac{(x+4)(x+2)}{x+4}=x+2

We we able to cancel out that factor that was giving us x=-4 is a zero.  

Therefore there is a hole at x=-4.

7 0
3 years ago
X=5y: 2x+5y=60<br><br> A) 10,4<br> B) 15,4<br> C) 20,4<br> D) 25,4
elena-14-01-66 [18.8K]

Answer:

C) 20, 4

Step-by-step explanation:

X = 5y

2x + 5y = 60

substitute in 5y for x: 2(5y) + 5y = 60

10y + 5y = 60

15y = 60

y = 4

x = 5y

x = 5(4) = 20

3 0
3 years ago
Read 2 more answers
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