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lawyer [7]
3 years ago
12

Complete the square to transform the expression x^2− 2x − 2 into the form a(x − h)^2+ k.

Mathematics
2 answers:
Pavel [41]3 years ago
7 0

Answer:

(x - 1)² - 3

Step-by-step explanation:

Given

x² - 2x - 2

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 2x

x² + 2(- 1)x + 1 - 1 - 2

= (x - 1)² - 3

julia-pushkina [17]3 years ago
6 0

Answer:

b.  (x - 1)^2 - 3.

Step-by-step explanation:

x^2− 2x − 2       Note that x^2 - 2x is equivalent to (x - 1)^2 - 1 so we have:    

(x - 1)^2 - 1 - 2

= (x - 1)^2 - 3.

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John went to dave and busters each game cost $3 what is the rate of change?
Darya [45]
The rate of change is 3 because each game costs $3 and the y-value will go up by 3 when the x-value goes up by 1. Hope this helps!
3 0
2 years ago
What is a factor? _____________________________________________
andriy [413]

Answer: What is a factor?

A factor is a  a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.

Step-by-step explanation: Why can’t certain expressions be factored?

Because there are no common factors other than 1 the constants cannot be factored. And, because there is no x in the second term (10), we cannot factor an x out of the two terms.

4 0
2 years ago
Read 2 more answers
The vertex form of the equation of a parabola is y = 2(x + 4)2 - 21.
Ronch [10]

Answer:

y = 2x^2 + 16x + 11

Step-by-step explanation:

2(x + 4)^2 - 21

2(x + 4)(x + 4) - 21

2(x^2 + 8x + 16) - 21

2x^2 + 16x + 32 - 21

2x^2 + 16x + 11

6 0
3 years ago
Erin uses a spinner divided into four equal sections to decide which drink she’ll have with her lunch. The sections represent wa
lys-0071 [83]

Answer:

Part A

W W W M W W T W W L W W

W W M M W M T W M L W M

W W T M W T T W T L W T

W W L M W L T W L L W L

W M W M M W T M W L M W

W M M M M M T M M L M M

W M T M M T T M T L M T

W M L M M L T M L L M L

W T W M T W T T W L T W

W T M M T M T T M L T M

W T T M T T T T T L T T

W T L M T L T T L L T L

W L W M L W T L W L L W

W L M M L M T L M L L M

W L T M L T T L T L L T

W L L M L L T L L L L L

Part B

There are 64 possible outcomes. The sample size is 64.

Part C

To find the probability that Erin drinks lemonade one day, tea one day, and water one day, consider all the cases in which L, T, and W occur one time. Because the order doesn't matter in this scenario, these six outcomes from the list represent the desired event: W T L, T W L, T L W, W L T, L W T, and L T W.

The size of the sample space is 64. So, the probability that Erin drinks lemonade one day, tea one day, and water one day is 3/32.

Part D

To find the probability that Erin drinks water on two days and lemonade one day, we consider all the cases in which two Ws and one L occur. Because the order doesn't matter in this scenario, these three outcomes from the list represent the event: W W L, W L W, and L W W.

The size of the sample space is 64. So, the probability that Erin drinks water two days and lemonade one day is 3/64

Step-by-step explanation:

8 0
2 years ago
The radius of a bicycle wheel is 80cm. During one trip this wheel rotted 25121 times. To the nearest metre, how far did the bicy
azamat

Answer: someone plz help

Step-by-step explanation:

3 0
3 years ago
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