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3 years ago

Equation represents table

Mathematics

1 answer:

AlekseyPX3 years ago

5 0

Answer: H

Step-by-step explanation:

The slope can be found using two points and the formula (y2-y1)/(x2-x1)

if we use (0,-2) and (1,1), x1 = 0, y1 = -2, x2 = 1, y2 =1

plug these into the formula to get

(1- -2)/(1-0)

= 3/1

= 3

so the slope is 3, so the coefficient on the x would be 3 in the y = mx+b formula

b would equal the y-intercept or the number when x = 0

when x = 0, y = -2, so b = -2

plug these into y = mx+b to get

y = 3x -2

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2 years ago

Complete the table for the following function<br> y=(1/3)^x

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x=-3 then y= 27

x= -2 then y= 9

x=2 then y: $y=\frac{1}{9}$

x=3 then y: $y=\frac{1}{27}$

The graph of the function decreases from left to right.

Option C is correct.

Step-by-step explanation:

We are given the function: $y=(\frac{1}{3})^x$

and we need to fill the table

if x = -3 then y=?

Putting value of x in the given function:

$y=(\frac{1}{3})^x$

$y=(\frac{1}{3})^-3$

Applying exponent rule a^-b= 1/a^b

$y=\frac{1}{(\frac{1}{3})^3 }\\y=\frac{1}{\frac{1}{27}}\\y=27$

if x = -2 then y=?

Putting value of x in the given function:

$y=(\frac{1}{3})^x$

$y=(\frac{1}{3})^-2$

Applying exponent rule a^-b= 1/a^b

$y=\frac{1}{(\frac{1}{3})^2 }\\y=\frac{1}{\frac{1}{9}}\\y=9$

if x = 2 then y=?

Putting value of x in the given function:

$y=(\frac{1}{3})^x$

$y=(\frac{1}{3})^2$

Applying exponent rule a^-b= 1/a^b

$y=\frac{1}{(\frac{1}{3})^2 }\\y=\frac{1}{9}$

if x = 3 then y=?

Putting value of x in the given function:

$y=(\frac{1}{3})^x$

$y=(\frac{1}{3})^3$

Applying exponent rule a^-b= 1/a^b

$y=\frac{1}{(\frac{1}{3})^3 }\\y=\frac{1}{27}$

So, x=-3 then y= 27

x= -2 then y= 9

x=2 then y: $y=\frac{1}{9}$

x=3 then y: $y=\frac{1}{27}$

Graph of the function is shown in figure attached.

The graph of the function decreases from left to right.

Option C is correct.

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

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3 years ago

What will be the amount and compound interest, if Rs. 5000 is invested at 8% per annum 2 years?

Andreas93 [3]

Answer:

Step-by-step explanation:

formula.- p(1+r/100)^n

principle=5000

rate=8%

years (n)=2

5000(1+8/100)^2

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<u>=5832(amount)</u>

compound interest

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3 0

3 years ago