What is the factored form of 2x^2-200

Mathematics

2 answers:

Luden [163]3 years ago

8 0

Answer:

2 (x - 10) (x + 10)

Step-by-step explanation:

Factor the following:

2 x^2 - 200

Factor 2 out of 2 x^2 - 200:

2 (x^2 - 100)

x^2 - 100 = x^2 - 10^2:

2 (x^2 - 10^2)

Factor the difference of two squares. x^2 - 10^2 = (x - 10) (x + 10):

Answer: 2 (x - 10) (x + 10)

tiny-mole [99]3 years ago

6 0

Find the Greatest Common Factor (GCF)

GCF = 2

Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2(2x^2/2 - 200/2)

Simplify each term in parenthesis

2(x^2 - 100)

Rewrite x^2 - 100 in the form; a^2 - b^2, where a = x and b = 10

2(x^2 - 10^2)

Use the Difference of Squares: a^2 - b^2 = (a + b)(a - b)

2(x + 10)(x - 10)

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andrew11 [14]

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4 years ago

Which is another way to check the sum of 104+34+228+877?

Alex787 [66]

The answer is digit sum method.

Digit sum method is method used to check the sum of sum numbers. If the sum of all of the digits of numbers is equal to the sum of all of the digits of the total sum, then the arithmetic process was correct.

We need to check the sum of 104+34+228+877:
104 + 34 + 228 + 877 = 1243

Let's first summarize the digits of individual numbers:
104 *** 1 + 0 + 4 = 5
34 *** 3 + 4 = 7
228 *** 2 + 2 + 8 = 12 *** 1 + 2 = 3
877 *** 8 + 7 + 7 = 22 *** 2 + 2 = 4

Now, let's sum these sums:
5 + 7 + 3 + 4 = 19 *** 1 + 9 = 10 *** 1 + 0 = 1

Then, let's summarize the digits of the total sum:
1243 *** 1 + 2 + 4 + 3 = 10 *** 1 + 0 = 1

Since the sums of the digits on the both sides of equation is 1, than the arithmetic process was correct and the sum of 104 + 34 + 228 + 877 is really 1243.

7 0

3 years ago

Determine the period of the function g(x) = (cos ;)

Romashka [77]

Answer:

6 $\pi$

Step-by-step explanation:

The period of a sinusoidal function in the form a * cos (b (x + h)) + m is $\frac{2\pi }{|b|}$ . Therefore, we can see that "b" in g(x) is 1/3 and 1/3 substituted into $\frac{2\pi }{|b|}$ is 2 $\pi$ /1/3 which is 6 $\pi$ .