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NemiM [27]
3 years ago
5

Give the range of the function f(x) = -x 2. a.all reals b.y ≤ 0 c.y ≥ 0

Mathematics
1 answer:
Bumek [7]3 years ago
5 0

Answer:

b. y ≤ 0

Step-by-step explanation:

Do you mean f(x) = -x^2?

If so, think of f(x) = x^2. You can use any real number for x. Once you square each value of x, you can get zero or a positive real for y. f(x) can only be a non-negative number. Now look at your function: f(x) = -x^2. The values of y are the opposite of the values of y in f(x) = x^2, so the range of f(x) = -x^2 is zero and all negative reals.

Answer: b. y ≤ 0

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The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including
anyanavicka [17]

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

$=\frac{48}{2}$

= 24 feet

a). So the rise of the roof is $= \sqrt{(26)^2-(24)^2}$  

                                         = 10 feet

b). Pinch of the roof is $=\frac{\text{rise}}{\text{run}}$

                                     $=\frac{10}{24}$

                                     $=\frac{5}{12}$

c). The percent of the roof used as overhung is

     $=\frac{4+4}{60}\times 100$

     $=\frac{80}{6}$

       = 13.33 %

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3 years ago
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Misha Larkins [42]
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8 0
3 years ago
What happens when you add and subtract integers
Furkat [3]
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5 0
3 years ago
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Tommy can ride his bicycle 4.5 miles in 15 minutes. How many miles can he ride in 75 minutes
adoni [48]
Here, we need to set up a proportion.

4.5 miles in 15 minutes.

In 75 minutes, how much miles can he ride?

4.5/15 = x/75

Cross multiply

4.5 * 75 = 337.5
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15x = 337.5

15x/15 = 337.5/15
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Final answer:- Tommy can ride 22.5 miles in 75 minutes. 


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Answer:

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Step-by-step explanation:

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