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Marat540 [252]
2 years ago
10

See attached photo for question

Mathematics
1 answer:
ad-work [718]2 years ago
6 0

Answer:6\pi

Step-by-step explanation:

240/360 can be simplified to 2/3. r^2 can be substituted for 9, and 2/3*9 is 6.

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Jon ran 4 miles in 35<br> minutes. How long did it<br> take him to run a mile
sesenic [268]

Answer:

35/4 minutes per mile

Step-by-step explanation:

rate = time/distance, therefore the answer is 35/4

4 0
3 years ago
How to simplify 24/3
Arturiano [62]

You can simplifying 24/3 by dividing 24 by 3.

24÷3=8

The answer is 8.

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2 years ago
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Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
here is points my children &lt;3 enjoy them just answer the question for the points: regards - drip king.
allochka39001 [22]

Answer:

thxs <3

Step-by-step explanation:

8 0
3 years ago
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