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SOVA2 [1]
3 years ago
11

Factor the following: x2-17x+60

Mathematics
1 answer:
marissa [1.9K]3 years ago
4 0

Answer:

Factor  = (x-12) , (x-5)

Step-by-step explanation:

Answered By Huntermike976  

------------------------------

Please mark brainliest  

Have a good day

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Find the exact value of cos 157.5°.
Nonamiya [84]
Cos 157.5º=-cos (180º-157.5º)=-cos 22.5=-cos(45/2)

cos Ф/2=⁺₋√((1+cosФ)/2).

In this case 157.5º is in the second quadrant, therefore we use the following equation:
cos Ф/2=-√((1+cosФ)/2).          (we will have a negative number)

cos 157.5º=-cos (45/2)=-√((1+cos 45º)/2)
=-√((1+√2/2)/2)
=-√((2+√2)/4)
=-√(2+√2) / 2   (≈-0.92387...)

Answer: cos 157.5º= -√(2+√2) / 2

3 0
3 years ago
Can you find a strategy for splitting any number so that you always get the largest product?
Alex

9514 1404 393

Answer:

  split the number into equal pieces

Step-by-step explanation:

Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.

We have to assume that the number being split is positive and all of the parts are positive.

<h3>2 parts</h3>

If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.

<h3>3 parts</h3>

Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...

  p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4

This will be maximized where its derivative is zero:

  p' = (1/4)(3x^2 -4nx +n^2) = 0

  (3x -n)(x -n) = 0 . . . . . . . . . . . . . factor

  x = n/3  or  n

We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.

<h3>more parts</h3>

A similar development can prove by induction that the parts must all be equal.

6 0
3 years ago
Can someone help me please I don’t understand
Alchen [17]

Answer:

answer is 3.144

Step-by-step explanation:

6 0
3 years ago
9) Three times a number added to 12 gives -6. Find the number.​
KatRina [158]

Answer:

The number is -6.

Step-by-step explanation:

Variable x = a number

Set up an equation:

3x + 12 = -6

Isolate variable x:

3x = -18

x = -6

Check your work:

3(-6) + 12 = -6

-18 + 12 = -6

-6 = -6

Correct!

7 0
3 years ago
Read 2 more answers
A rectangular field is 1/3 as wide as it is long and is enclosed by x yards of fencing. What is the area of the field in terms o
frozen [14]

Answer:

It is 1/3x wide

Step-by-step explanation:

add the terms, the answer is 1/3x

3 0
3 years ago
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