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FrozenT [24]
1 year ago
14

The center of an ice rink is located at (0, 0) on a coordinate system measured in feet. sandi skates along a path that can be mo

deled by the equation y = 0.08x2 - 1.6x 13. david starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5). which system of equations models the paths of the two skaters? y = 0.08x2-1.6x 13 and y = 0.08(x-10)2 5 y = 0.08x2-1.6x 13 and y = 1.6(x-10)2 5 y = 0.08x2-1.6x 13 and y = 0.8(x-10)2 5 y = 0.08x2-1.6x 13 and y = 5(x-10)2 5
Mathematics
1 answer:
WARRIOR [948]1 year ago
5 0

The answers to the question are are the equations

y = 0.08x²-1.6x+13

y = 0.08(x-10)²+5

<h3>How to solve for the system of equations</h3>

David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5).

Vertex form of quadratic function is

y = a(x-h)^2+k

13 = a(x-10)²+5

let x = 20

a(20-10)²+5

13 = 100a + 5

take like terms

13 - 5 = 100a

8 = 100a

divide through by 100

a = 0.08

hence the equation would be

y = 0.08(x-10)²+5

Read more on equations here:

brainly.com/question/9621134

#SPJ1

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Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms.
vodka [1.7K]

Answer: it is

Step-by-step explanation: the next numbers are 1.5, 3, 4.5.

6 0
3 years ago
Find a pattern for the sequence. Use the pattern to show the next two terms.
quester [9]

Answer:

about this question the sequence of the pattern is according to the table of 12.

Step-by-step explanation:

Table of twelve is.

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then the answer will be 60

<h3 />
6 0
2 years ago
The difference between two number is 3.take the numbers as x and y form a equation?
Dennis_Churaev [7]

The difference between two numbers are 3 and numbers are x and y so the equation is x-y=3

How to find the equation and what is the equation ?

equation, statement of equality between two expressions consisting of variables and/or numbers. In essence, equations are questions, and the development of mathematics has been driven by attempts to find answers to those questions in a systematic way.

if the difference of two numbers are 3

And one number is x and another is y

So we write the equation with operation of subtraction

x-y=3

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5 0
2 years ago
Which situation best shows causation?
dangina [55]

A cause and effect relationship exist between two variables, when one

variable event is made to happen by the other variable.

The situation which best shows causation is option <u>B) The amount of time a </u>

<u>cell phone is used affects the charge of the battery</u>.

Reasons:

Causation is the condition in which the occurrence of an event is caused by

or contributed to by another event. Such that the incident or observation

identified as the cause is responsible for the event, while the the

occurrence of the event depends on the cause being put in place.

  • Option A) A rectangle of a given width can have different dimensions of length

  • Option C) Milkshakes and ice cream bars can have different customer base, such that the number of milkshake and ice cream bars sold can be equal

  • Option D) The balls used in a soccer match are provided by the officials of the game

Therefore;

  • The situation which shows causation is B) <u>The amount of time a cell phone is used affects the charge of the battery</u>.

The option is correct because, a cell phone is powered by battery, and

therefore, the more the cell phone is used, the battery power is used up

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3 0
3 years ago
Find the slope of the line passing through the points (8,-3) and (4,-1)
docker41 [41]

\rm \to m =  \dfrac{y_2 - y_1}{x_2 - x_1}

\\  \\

\rm \to m =  \dfrac{ - 1 - 3}{4 - 8}

\\  \\

\rm \to m =  \dfrac{ - 4}{4 - 8}

\\  \\

\rm \to m =  \dfrac{ - 4}{ - 4}

\\  \\

\rm \to m = \cancel  \dfrac{ - 4}{ - 4}

\\  \\

\rm \to m = 1

7 0
2 years ago
Read 2 more answers
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