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3 years ago

the line of a function passes through the points indicated what is the x- intercept of this function? x/0/2/4/6 - y/-1/0/1/2

1 answer:

5 0

(0,-1)(2,0)
slope = (0 - (-1) / (2 - 0) = 1/2

y = mx + b
-1 = 1/2(0) + b
-1 = b

ur equation is : y = 1/2x - 1

ur x intercept can be found by subbing in 0 for y and solving for x
0 = 1/2x - 1
-1/2x = -1
x = 2.....or (2,0) <== ur x intercept

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Lostsunrise [7]

Answer:

Given the function in the question

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since it is similar to f(x) = |x|

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f(x) or y = dependent variable (output variable)

The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable.

c) identify the rule

A function is an equation that has only one answer for y for every x.

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2 years ago

I need to find the derivative. I’m not very good at this so I am answer asap would be sosososo helpful

Bingel [31]

Answer:

See below.

Step-by-step explanation:

First, notice that this is a composition of functions. For instance, let's let $f(x)=\sqrt{x}$ and $g(x)=7x^2+4x+1$ . Then, the given equation is essentially $f(g(x))=\sqrt{7x^2+4x+1}$ . Thus, we can use the chain rule.

Recall the chain rule: $\frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x)$ . So, let's find the derivative of each function:

$f(x)=\sqrt{x}=x^\frac{1}{2}$

We can use the Power Rule here:

$f'(x)=(x^\frac{1}{2})'=\frac{1}{2}(x^{-\frac{1}{2} })=\frac{1}{2\sqrt{x}}$

Now:

$g(x)=7x^2+4x+1$

Again, use the Power Rule and Sum Rule

$g'(x)=(7x^2+4x+1)'=(7x^2)'+(4x)'+(1)'=14x+4$

Now, we can put them together:

$y'=f'(g(x))\cdot g'(x)=\frac{1}{2\sqrt{g(x)}} \cdot (14x+4)$

$y'=\frac{14x+4}{2\sqrt{7x^2+4x+1} } =\frac{7x+2}{\sqrt{7x^2+4x+1} }$

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3 years ago

The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to

Lesechka [4]

Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74

Median is the most appropriate measure of central tendency.

The least appropriate = mean

Yes there is an outlier.

Step-by-step explanation:

Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

First arrange them in increasing order, $\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74$