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3 years ago

10

Find the equation of the line shown.

1 answer:

SVEN [57.7K]3 years ago

7 0

Answer:

I think that it is y= -2x +9

Step-by-step explanation:

I am sure about the slope but the y-intercept (9) might be wrong.

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The table represents an exponential function.

Stels [109]

The exponential function is given in the form

$y= a (b)^{x}$

where a is the initial value and b is the multiplicative rate of change

So lets plug the first two values of the table in this function , we get

$2= a(b)^1$

or

$2= ab............................(eqn 1)$

Now plug second

$2/5 = a(b)^2 .............................( eqn2)$

Divide equation 2 by equation 1

$\frac{2=ab}{\frac{2}{5}=ab^2}$

On simplifying we get

$5= \frac{1}{b}$

or

$b=\frac{1}{5}$

So the multiplicative rate of change of the function is

$a) \frac{1}{5}$

8 0

3 years ago

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Kate borrowed $400 from her friend. She will repay this amount plus 3 percent simple interest after one year. What is the total

bagirrra123 [75]

$412 i am pretty sure that is right if not i'm sorry but good luck :)

7 0

3 years ago

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Describe how to represent 53 – 34 on a number line.

vampirchik [111]

C- Begin at 53, travel 34 units to the left

3 0

3 years ago

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What is the inverse of the function

sleet_krkn [62]

Answer:

$x^2-10x+31$

Step-by-step explanation:

$y=\sqrt{x-6}+5$

$x=\sqrt{y-6}+5$

$\sqrt{y-6}+5=x$

$\sqrt{y-6}+5-5=x-5$

$\sqrt{y-6}=x-5$

$\left(\sqrt{y-6}\right)^2=\left(x-5\right)^2$

$\left(\sqrt{y-6}\right)^2$

$=\left(\left(y-6\right)^{\frac{1}{2}}\right)^2$

$=y-6$

$\left(x-5\right)^2$

$=x^2-10x+25$

$y-6=x^2-10x+25$

$y-6+6=x^2-10x+25+6$

$y=x^2-10x+31$

6 0

3 years ago

Find the slope of the line that passes through the pair of points (2,6) , (7,0)

iVinArrow [24]

Slope is defined as the change in y-coordinate over the change in x, so if you find the change then you can find the slope.
$\frac{change~in~y}{change ~in~x} =\frac{0-6}{7-2}=\frac{-6}{5}$
Thus, your slope is -6/5.

8 0

3 years ago