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torisob [31]
3 years ago
6

4)

Mathematics
1 answer:
AysviL [449]3 years ago
8 0
B. 200.96 in. The area of the pizza with a 16" diameter (8" radius) is 201.06.
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HELP!!! PLEASE!!!!
Makovka662 [10]

Answer:

  • y = 2x² - 5x + 7

Step-by-step explanation:

For this problem, imagine the standard form, which is:

f(x) = ax² + bx + c = y

Using the table, and adding that y at the end, we can plug in and write out the following equations. (<em>Writing it out is important</em>):

f(-1) = a(-1)² + b(-1) + c = 14

f(0) = a(0)² + b(0) + c = 7

f(1) = a(1)² + b(1) + c = 4

f(2) = a(2)² + b(2) + c = 5

Now if this doesn't look familiar, it's actually a <u>systems of equations</u> using the a, b, and c elements as your three variables! If you simplify the equations:

f(-1) = a - b + c = 14

f(0) = c = 7

f(1) = a + b + c = 4

f(2) = 4a + 2b + c = 5

Something unique just happened. We have already defined what ' c ' is!

<u><em>c = 7</em></u>

Setting that aside, if you remove the f(x) portion of the equations, you're left with:

a - b + c = 14

a + b + c = 4

4a + 2b + c = 5

Using the two upper equations, if we add them together (you can do that as it doesn't change the values of the variables) you get:

2a + 2c = 18

Note: the ' b ' variables cancelled out in the addition [ b +  (-b) ]

If you further simplify the equation:

a + c = 9

Awesome. Now we already know that <u>c = 7</u>, so if you plug that into the equation:

a + 7 = 9

Solve for a. So then a = 2

Now that we know the following:

a = 2

c = 7

We can then use the equation:

a + b + c = 4

And solve for b!

2 + b + 7 = 4

Simplify.

b + 9 = 4

Simplify.

b = -5

Now at this point, since you know what a, b and c are, you can write the equation!

f(x) = 2x² - 5x + 7

You can confirm your work by putting any of the x values in the table through!

4 0
3 years ago
Read 2 more answers
a local restaurant offers a deal if you purchase 3 medium pizza, you get 2 sides dishes for free. if you get a total of 8 side d
Paul [167]
12 pizzas because

3 pizzas for ever 2 sides
3/2

x/8

X=12.
7 0
3 years ago
Help me plssssssssssssss
nikdorinn [45]

Answer:

C .......

Step-by-step explanation:

7 0
2 years ago
working together Jacob and Kayla can clan an attic in 4.24 hours. had she done it alone it would have taken Kayla nine hours. ho
Marizza181 [45]
That’s not enough information to say how long he could do it. He could go slower or faster than her but by how much if so. So it’s not enough info.
5 0
3 years ago
50 coins all dimes and quarters total is 10.25 how many dimes?
Yanka [14]

Answer:

You can do these "in your head" like this:

50 dimes would be $5.00

Each quarter adds 15 cents.

10.25 - 55.00 = $5.25 added

Step-by-step explanation:

525/15 = 35 quarters

--> 15 dimes

==========================

or,

d + q = 50

10d + 25q = 1025

etc

8 0
2 years ago
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