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katrin2010 [14]
3 years ago
11

Kory bought 2 boxes of candy and 1 soda at the movies and paid $8.00. Christopher bought 1 box of candy and 1 soda and paid $5.5

0.
How much does 1 box of candy cost?
How much does 1 soda cost?
Answer with justification:
Mathematics
1 answer:
worty [1.4K]3 years ago
6 0
2 boxes of candy & 1 soda 8.00, 1box candy & 1 soda 5.50 so subtract the 5.50 from 8.00 leaves 2.50 for a box of candy, subtract that from 5.50 and the soda would would cost 3.00
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A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco
bekas [8.4K]

answer:

f(t) = -9.9788169(t -0.76)^2 +57

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the  number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is f(x)= a(x-p)^2 +q  , where (p,q) is the turning point. now we substitute the turning point

f(t) = a(t-0.76)^2 + 57, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

-57 =a(2.39)^2  

-57 = a(5.7121)

-57/5.7121 =a

-9.9788169 = a      then we substitute a to get the quadratic equation therefore f is

f(t) = -9.9788169(t-0.76)^2 +57

4 0
3 years ago
What are the rules for rotating a figure about the origin?
Anastaziya [24]

A

Step-by-step explanation:

90 Degree Rotation. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). ...

180 Degree Rotation. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). ...

270 Degree Rotation.

6 0
3 years ago
Wanna help a girl out
Bad White [126]

Answer: 3580.50

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
File Is Attached To The Question
Paul [167]

Answer:

<h2>3.05x(output for x)</h2><h2>39.65</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • function
  • PEMDAS
<h3>let's solve:</h3>

according to the question

the function is

f(x)=3.05x(first answer)

let's justify

f(1)=3.05×1

=3.05

LIKEWISE

f(3)=3.05×3

=9.15

therefore

it is the function

answer for the second question

f(13)=3.05×13

=39.65

6 0
3 years ago
What is the slope of the line on the graph?
sattari [20]

Answer:

1/2

Step-by-step explanation:

5 0
3 years ago
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