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natka813 [3]
3 years ago
12

Find the value of x.

Mathematics
1 answer:
amm18123 years ago
7 0

Answer:

Step-by-step explanation:

By similar triangles (use the two smaller ones

7 / x = x / 3         Cross multiply

x^2 = 21              Take  the square root of both sides

√x^2 = √21

x = √21

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Given the table of data, determine the function that would most appropriately model the data. x 0 1 2 3 f(x) 1.5 2 2.5 3 linear
azamat

Answer:

  linear

Step-by-step explanation:

The x-values are evenly spaced (1 apart), so it is helpful to look at the differences of the f(x) values.

Successive f(x) values all differ by the constant 0.5, a characteristic of a linear function.

_____

<em>Comment on differences</em>

The differences of successive y-values are called "first differences". The differences of those are called "second differences". And the differences of those are "third differences." The "degree" of the differences that are constant is the degree of the function describing the sequence.

That is, a sequence (like this one) with constant first differences can be described by a first-degree polynomial, a linear function. If third differences are constant, the sequence is described by a third-degree polynomial, a cubic function.

A square root function will have first differences that decrease by a decreasing amount. Successive differences of differences will continue to decrease, never becoming constant.

An exponential function will have first differences with a common ratio.

3 0
4 years ago
when a cannonball is fired, the equation of its pathway can be modeled by h=-16t squared + 128t. find the time it will take for
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At the time the cannonball reaches the ground, the vertical height of the cannonball from the ground is 0, i.e. h = 0.

Thus, the time it will take the cannonball to reach the ground is given by

-16t^2+128t=0 \\  \\ \Rightarrow t(-16t+128)=0 \\  \\ \Rightarrow t=0\ or\ -16t+128=0 \\  \\ \Rightarrow16t=128 \\  \\ \Rightarrow t= \frac{128}{16} =8

Therefore, it will take the cannonball 8 seconds to reach the ground.
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The integers that are less than 2 but greater than -4
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Answer:

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Step-by-step explanation:

Area of the rectangle is:

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        = 2x² - 3x - 14x - 21

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4 0
3 years ago
Melanie got a new job through the Jones Employment Agency. The job pays $32,400 per year, and the agency fee is equal to 45% of
eduard

The fee is described as 0.45×$32,400/12 = $1215.

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