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Vlad [161]
3 years ago
11

What do you notice about the table inputs for the graph of √x?

Mathematics
1 answer:
Airida [17]3 years ago
4 0

Answer:

See below

Step-by-step explanation:

When we talk about the function f(x)=\sqrt{x}, the domain and codomain are generally defaulted to be subsets of the Real set. Once $f:[0,\infty)\to [0,\infty)$ and  $f\subseteq [0,\infty)\times [0,\infty)$ such that $(x,y_1)\in f\wedge(x,y_2)\in f \Rightarrow y_1=y_2$  for $f(x)=\sqrt x$. Therefore,

\[\sqrt{\cdot}: \mathbb R_{\geq 0} \to \mathbb R_{\geq 0} \]

\[x \mapsto \sqrt{x}\]

But this table just shows the perfect square solutions.

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Simplify.<br> (w5)<br> I need this ASAP please
Ilya [14]
I’m pretty sure it’s w^25
5 0
3 years ago
Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.
mafiozo [28]

Answer:

A = 4

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

y = \frac{2}{x}

y'=-2\cdot x^{-2}

The numerical value of the slope is:

y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}

The component of the y-axis is:

y = \frac{2}{9}

Now, the tangent line has the following mathematical model:

y = m \cdot x + b

The value of the intercept is found by isolating it within the equation and replacing all known variables:

b = y - m \cdot x

b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}

Thus, the tangent line is:

y = -\frac{2}{81}\cdot x + \frac{4}{9}

The vertical distance between a point of the tangent line and the origin is given by the intercept.

d_{y} = \frac{4}{9}

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

-\frac{2}{81}\cdot x + \frac{4}{9}=0

-\frac{2}{9}\cdot x + 4 = 0

x = 18

d_{x} = 18

The area of the triangle is computed by this formula:

A = \frac{1}{2}\cdot d_{x}\cdot d_{y}

A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )

A = 4

4 0
4 years ago
WILL MARK BRAINLIEST FOR BEST ANSWER! SERIOUS ANSWERS ONLY!
alexira [117]

Answer:

Step-by-step explanation:

2081.25 ; 2312.50 ; 2543.75 ; ..... 7500

a= 2081.25

d = 231.25

t_{n}= 7500

a + (n-1)d = t_{n}

2081.25 + (n-1) * 231.25 = 7500

(n -1) *231.25 = 7500 - 2081.25

231.25n - 231.25 = 5418.75

231.25n = 5418.75 + 231.25

231.25n = 5650

n = 5650/231.25  = 565000/23125

n = 904/37

n = 24 years 157 days

6 0
2 years ago
Which of the following is not equivalent to 1/25?
taurus [48]
 The answer is D. 5^-2 times 5^4.
3 0
4 years ago
Find an ordered pair (x,y) that is a solution to the equation.<br> x-3y=9<br> (x,y)= ?
Gemiola [76]

Answer:

(9,-3)

Step-by-step explanation:

7 0
3 years ago
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