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OLga [1]
4 years ago
11

The library is 1.75 miles directly north from the school. The park is 0.6 miles directly south of the school. How far away is th

e library from the park?

Mathematics
1 answer:
Kryger [21]4 years ago
7 0

Answer:

2.35 miles

Step-by-step explanation:

Please find the attachment for visual understanding.

We are told that the library is 1.75 miles directly north from the school and the park is 0.6 miles directly south of the school.

To find distance between library and park we will add distance of library from school to the distance of park from school.

(1.75+0.6)\text{ miles}=2.35\text{ miles}  

Therefore, library is 2.35 miles away from park.  

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How would I use factoring to write equivalent expressions for the following expressions?
Sedbober [7]

Answer:

4(a + 6)

3(x - 4)

Step-by-step explanation:

Factoring is just rewriting an expression into the parts that multiply together to make the original...like if I had a 100 but decided instead to write 4×25 or if I had 25x I wrote 5(5x) .

If you look at your

4a + 24

You're looking for whatever is the same in both pieces (the 4a and also the 24) So there is a 4 in 4a and there is also a 4 "in" 24 (as in 4×6 is 24)

So if you pull out that 4 and throw it up front, whatever is left behind goes into a pair of parentheses.

4 (____ + ____)

4(a + 6)

This is your factored form bc if you multiply that 4 back in you'll get the original expression back again.

4a + 24

= 4(a + 6)

It's like factoring is "un-distributive" property.

Theres a 3 in 3x and also in 12

3x - 12

= 3(x - 4)

6 0
3 years ago
Graph this rational equation. Identify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asy
irakobra [83]

Step-by-step explanation:

We have given,

A rational function : f(x) = \frac{x-2}{x-4}

W need to find :

Point of discontinuity : - At x = 4, f(x) tends to reach infinity, So we get discontinuity point at x =4.

For no values of x, we get indetermined form (i.e \frac{0}{0}), Hence there is no holes

Vertical Asymptotes:

Plug y=f(x) = ∞ in f(x) to get vertical asymptote   {We can us writing ∞ = \frac{1}{0}}

i.e ∞ = \frac{x-2}{x-4}

or \frac{1}{0}=\frac{x-2}{x-4}

or x-4 =0

or x=4, Hence at x = 4, f(x) has a vertical asymptote

X -intercept :

Plug f(x)=0 , to get x intercept.

i.e 0 = \frac{x-2}{x-4}

or x - 2 =0

or x = 2

Hence at x=2, f(x) has an x intercept

Horizontal asymptote:

Plug x = ∞ in f(x) to get horizontal asymptote.

i.e f(x) = \frac{x-2}{x-4} = \frac{x(1-\frac{2}{x} )}{x(1-\frac{4}{x} )}

or f(x) = \frac{(1-\frac{2}{∞} )}{(1-\frac{4}{∞} )}

or f(x) = 1 = y

hence at y =f(x) = 1, we get horizontal asymptote





4 0
3 years ago
Sam's bank account balance on Monday was $8. On Tuesday, his account balance was -$2. How much money did Sam withdraw from his a
ss7ja [257]

It would be 8. To solve, look at it like this: 8-b=(-2). I would then look at a number line or create one if your not to sure of yourself. 8-8=0, and then 0-2=-2. 2+8=10 (the numbers you subtracted). So the answer is 10.

6 0
4 years ago
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Vedmedyk [2.9K]

Answer:

It's 45, and it appears none of them are right.

Step-by-step explanation:

43 + (6 - 4)

43 + 2 =

45

Hope that helps!

4 0
3 years ago
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A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from
Grace [21]

Your question is  store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue?

The answer is C. $12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.

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3 years ago
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