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kolbaska11 [484]
3 years ago
5

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
Alborosie3 years ago
4 0
The equation is  

                        y=2x^2-32x+56.

Factoring 2, we get 
 
                        y=2(x^2-16x+28).


We notice that (x-8)^2=x^2-16x+64, so x^2-16x=(x-8)^2-64.

Substituting in the previous equation, we have:

                       y=2(x^2-16x+28)=2[(x-8)^2-64+28]=2[(x-8)^2-36], 

distributing 2 over the two terms inside the brackets, we finally get:

                                   y=2(x-8)^2-72.


This is a parabola opening upwards, since the coefficient of x^2 in the original equation is positive, and whose vertex is (8, -72), which is the lowest point of this parabola.


Answer:  y=2(x-8)^2-72.; x-coordinate of the minimum: 8.
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If you toss a coin and spin the spinner, what is the probability of landing on heads and spinning blue?
ivann1987 [24]

Answer:

Step-by-step explanation:

There are two sides on a coin, heads and tails. So, the probability  of flipping heads is going to be 1/2, as there is one chance out of the two options that you will flip a head. As for spinning blue, there are 3 options that are blue out of the four color options given. So, the probability of spinning blue would be 3/4. Hope this helped :) Take this with a grain of salt, though. It's been a while since I reviewed probabilities.

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3 years ago
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8 0
2 years ago
The probability of drawing 2 defective pieces one after the other on the first and second samples, without replacement, from a l
ValentinkaMS [17]

Answer: The required probability is 0.004.

Step-by-step explanation:

Since we have given that

Number of pieces = 50

Number of defective pieces = 5

So, we need to draw 2 defective pieces.

So, the probability of drawing 2 defective pieces one after the other on the first and second samples would be

\dfrac{5}{50}\times \dfrac{4}{49}\\\\=\dfrac{20}{2450}\\\\=0.004

Hence, the required probability is 0.004.

4 0
3 years ago
lexi wants to share the sheet of tiger stickers with two friends are there enough stickers to make equal shares for lexi and her
zalisa [80]
Hello! 
"Lexi wants to share the sheet of tiger stickers with two friends are there enough stickers to make equal shares for lexi and her two friends"
So there's only 1 sheet of stickers so there's not really enough to share with 2 friends because there's only one sheet which means however many is on the sheet won't be an equal amount to share amongest  3 people. 
Hope this helps! 
~Nadia~
6 0
3 years ago
Combine the like terms to create an equivalent expression:{-5r+8r+5}−5r+8r+5
Feliz [49]

Answer:

u add al of em up then u subtract to get 4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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