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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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one serving of cereal is 32 grams ella needs 18 servings of cereal for a soccer team breakfast she wants to buy enough cereal wi
Mumz [18]
You should buy 576 grams of cereal. I believe this is right because 32g x 18=576. But you might want me to work it different or something. 
5 0
3 years ago
Find the average distance each data value in the set is from the mean.
olga55 [171]
To find the mean, you have to add all of the data together and divide by the amount of data sets there are. 2010+2002+2005+2007+2001=10025
10025 divided by 5 sets of data is 2005.
The mean or average is 2005
7 0
3 years ago
Which term best describes the expression 3x2y4 + 5x + 1?
notka56 [123]

Answer:

Trinomial.

Step-by-step explanation:

Note how much terms there are in the given expressions:

Term 1: 3x^{2}y^{4}\

Term 2: 5x

Term 3: 1

Note each meaning of the terms:

Monomial: Having only one term.

Binomial: Having two terms.

Trinomial: Having three terms.

Polynomial: Typically used to describe expressions with 4 or more terms.

In this case, there are only 3 terms, and so your answer is Trinomial.

~

5 0
2 years ago
Please help guys I’m really struggling
tatiyna

Answer: y = -4x - 4

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Plug in y1 and x1, and m. M is the slope, x1 and y1 are the values for a coordinate. You don't need to plug anything in for y or x, just y1 and x1.

First, find the slope. To find the slope, use this "formula" : slope=\frac{rise}{run} =\frac{y1-y2}{x2-x1}

Find two coordinate points. Let's use (-2,4) and (0,-4). Based on this, we know that y1 is 4, y2 is -4, x1 is -2, and x2 is 0. Plug these into the formula:

\frac{4--4}{-2-0} =\frac{4+4}{-2} =\frac{8}{-2}=-4

Then, pick any point to plug into the equation. Let's use (0,-4)

Finally, plug everything into the equation:

y - - 4 = -4(x - 0)

y + 4 = -4x

y = -4x - 4

3 0
3 years ago
Read 2 more answers
What is 5047 divided by 52?
xenn [34]

Answer:

97.06

Step-by-step explanation:

5047 / 52

= 97.06

4 0
3 years ago
Read 2 more answers
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