(1/3)x-4(-1)=2 solve for x.

The rule for Function A is y= -2/3x

Rom4ik [11]

Answer:

Both functions have negative rates of change

Function B has a greater rate of change than Function A

Step-by-step explanation:

we know that

Function A

The rule for Function A is

$y=-\frac{2}{3}x$

This is the equation of a proportional relationship (the line passes through the origin)

The slope is equal to $m=-\frac{2}{3}$

Function B

Find the equation of the function B

we have the points (-2,0) and (0,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-2-0}{0+2}$

$m=\frac{-2}{2}$

$m=-1$

The equation of the function B in slope intercept form is equal to

$y=mx+b$

we have

$m=-1\\b=-2$

substitute

$y=-x-2$

Verify each statement

Option 1) Both functions have negative rates of change

The statement is true

Because, the rate of change is the slope of the linear equation

Function A ----> $m=-\frac{2}{3}$

Function B ----> $m=-1$

Option 2) Both functions have the same rate of change.

The statement is false (see the explanation)

The rate of change are different ( m=-2/3 and m=-1)

Option 3) When graphed, Function A and Function B are parallel

The statement is false

When graphed, Function A and Function B are intersecting lines, because their slopes are different

Option 4) Function B has a greater rate of change than Function A

The statement is true

Remember that the rate of change can be either positive (increasing function) or negative (decreasing function). To find out which function has a greater rate of change, compare the absolute value of their slopes

therefore

1 > 2/3

6 0

3 years ago

What is the quotient of 42 divided by 9124

Sunny_sXe [5.5K]

The answer is 0.0046032441911442

4 0

3 years ago

How do i solve divide 5/8 by 50%

Ede4ka [16]

50% is $\frac{50}{100}$
We have two ways to do this, pick your favor:
either by fractions:
$\frac{5}{8}$ ÷ $\frac{1}{2}$
( $\frac{50}{100} = \frac{1}{2}$
Multiply by the reciprocal of $\frac{1}{2}$ which is 2(flip it)

$\frac{5}{8}$ × 2 = $\frac{5}{4}$ = 1.25

Or change them to decimals:
$\frac{5}{8} = 0.625$
$\frac{50}{100}$ = 0.5

0.625 ÷ 0.5

0.5 I 0.625
multiply by 10 to make it easier to divide(it still gives us the same answer)
0.5 × 10 = 5
0.625 × 10 = 6.25
1.25
5 I 6.25
-5
12
-10
25
-25
0

0.625 ÷ 0.5 = 1.25

7 0

3 years ago

How do you find pie?

KiRa [710]

Well pie is 3.14 etc.
And the way to find that out is by:
~Using the formula.
~To find out what the circumference is you have to use this formula
C= π*d =2*π*r
~Pi equals a circle's circumference divided by its diameter.
~If you plug in the numbers in a calculator the numbers should be 3.14.

4 0

3 years ago

Read 2 more answers

A population has a mean of 300 and a standard deviation of 40. Suppose a sample of size 100 is selected and is used to estimate

bazaltina [42]

Answer:

a: 0.9544 9 within 8 units)

b: 0.9940

Step-by-step explanation:

We have µ = 300 and σ = 40. The sample size, n = 100.

For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:

P(292 < x < 308).

We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.

We have P(292 < x < 308) = 0.9544

Next we want the probability of the sample mean to be within 11 units of the population mean, so we want the values from 289 to 311. We want to find

P(289 < x < 311)

We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.

We have P(289 < x < 311) = 0.9940

5 0

3 years ago