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Answers

Answer 1
Answer: For a parabola equation ax^2+bx+c, the vertex would be -b/2a
Therefore, the x coordinate of the minimum would be -(-32)/2(2)=32/4=8
That is the "h" part of the equation. 
Now, we need to find the y coordinate, which will be the "k" part of the equation. We can find that by plugging in x=8 into the equation: 2(8)^2-32(8)+56= -72

Therefore, we plug (h,k) and a in, and get the equation y=2(x-8)^2-72
The x coordinate of the minimum is 8

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Find the distance between point P(2, -1) and Q(10,-7)

Answers

The distance between the two points is 10.

You have 5,814 feet of rope that you need to cut into 27-foot sections. How many sections of rope will you have?a. 215 sections with 8 feet left over
b. 215 sections with 9 feet left over
c. 218 sections with 3 feet left over
d. 215 sections with 3 feet left over

Answers

The answer is d. 215 sections with 3 feet left over

To calculate this, divide the length of the rope (l1) by the length of the section (l2).
n - number of sections

n = l1/l2
l1 = 5,814 ft
l2 = 27 ft

n = 5,814 / 27 = 215.3 sections
215.3 sections can be written as 215 (whole) sections with 3 ft left over.

If w = 7, what is the value of 21 - 2w?

Answers

do order off operations first
so 7 time 2 which is 14
then 21-14
which is 7
21-2(7)=
=21-14
=7
The answer is 7

Help hurry it's timed and I need to pass this

Answers

The answe is D because it's the same
the answer is D. 32 units.

ABC ≈ XYZ

thus, BC = YZ (corresponding parts of congruent triangles)

thus, YZ = BC = 32 units

T=3m-n divided by 5 solve for m

Answers

T = (3m - n)/5

5 * T = (3m - n)/5 * 5

5T = 3m - n

n + 5T = 3m - n + n

n + 5T = 3m

(n + 5T)/3 = (3m)/3

(n + 5T)/3 = m

Answer: m = (n+5T)/3
Hope that helped =)
3m= 35
/3
m=35/3

I hope this is correct

a restaurant manager gives a survey to all of his customers asking them to rate the quality of the service they received. he then keeps track of how many customers return to the restaurant during the next six months. last year, the results showed that of the customers who reported high quality service, 90% returned for additional meals. what conclusion can be drawn from this study. answer choices: only some customers who rate their service as high quality return for additional meals. most customers who rate their service as high quality return for additional meals. high quality services cause customers to return for additional meals. customers who will return for additional meals report a high quality of service.

Answers

I am going with : most customers who rate their service as high quality return for additional meals. Because 90% who rated it as high quality returned for additional meals.....only 10% did not. And lets say u had 100 customers that rated high quality.....90 returned and 10 did not...so that is most customers.

Answer:

Most customers who rate their service as high quality return for additional meals.

Step-by-step explanation:

Only some customers who rate their service as high quality return for additional meals.  - its not this because it says only SOME and 90% is not some it is MOST but not all.

High quality services cause customers to return for additional meals  - just because the restaurant has high quality service that doesn't mean that this causes them to come back for an additional meal.

Customers who will return for additional meals report a high quality of service. - its not this because it just doesn't make sense.
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