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Ira Lisetskai [31]
3 years ago
7

Which factor pair does not belong to 36

Mathematics
1 answer:
vekshin13 years ago
7 0

Answer:

36 is a composite number as it has factors other than 1 and itself. Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Pair factors of 36 are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2). 1 is a factor of every number.

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Find the area of a circle with radius, r = 1cm. Give your answer in terms of π .
natulia [17]

Answer:

A = 1cm*pi

Step-by-step explanation:

5 0
3 years ago
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
Place the steps for finding f'(X) in the correct order.<br><br><br> Plz help <br> Thank you!
SashulF [63]

Answer:

See below

Step-by-step explanation:

Given function is ,

=> f(x) = 4x + 7.

Replace f(x) with y ,

=> y = 4x + 7

For finding the inverse , interchange x and y ,

=> x = 4y + 7

Now solve for y ,

=> 4y = x - 7

=> y = x-7/4

Replace y with f-¹(x) ,

=> f-¹(x) = (x-7)/4

These are the required steps .

8 0
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Sever21 [200]

Answer:

Step-by-step explanation:

Linear means strait but what are you asking ?

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Answer:

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Step-by-step explanation:

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