6. The table shows the equations Mr. Berger discussed in math

The table below represents a function. Which of the following equations could be its function rule?

worty [1.4K]

Answer:

$y=2x-2$ is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

$y=mx+b$

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-2\right)}{1-0}$

$m=2$

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2 = 2(0)+b$

$-2=0+b$

$b=-2$

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

$y=mx+b$

$y=2x+(-2)$

$y=2x-2$

Thus, $y=2x-2$ is the required equation.

Therefore, the second option is true.

3 0

3 years ago

The graph for the equation Y= 2X+4 is shown below.

Inessa [10]

The correct answer is the second choice

4 0

3 years ago

Read 2 more answers

The quadrilateral shown is a rectangle. What is the measure of PR? (round to the nearest hundredth)

sladkih [1.3K]

Option B) 37.12 is the right answer

Step-by-step explanation:

It is given that the qudrilateral is a rectangle which means that opposite sides wil be equal and all interior angles will be 90 degrees

So

PS = 17

PQ = SR = 33

The diagonal PR will form a right-angles triangle with PR being the hypotenuse

So,

Base = SR = 33

Perpendicular = PS = 17

Hypotenuse = PR = ?

The Pythagoras theorem will be used to find the length of PR

So,

$H^2 = B^2+P^2\\(PR)^2 = (SR)^2 + (PS)^2\\PR^2 = (33)^2+(17)^2\\PR^2 = 1089+289\\PR^2 = 1378\\$

Taking square root on both sides

$\sqrt{PR^2} = \sqrt{1378}\\PR = 37.1214$

Rounding off to nearest 100th

PR = 37.12

Hence,

Option B) 37.12 is the right answer

Keywords: Triangle, Pythagoras theorem

Learn more about triangles at:

#LearnwithBrainly

6 0

4 years ago

BRAINLIEST !!!PLEASE HELP

cricket20 [7]

Marcella would not be able to win the competition because her kite string (159.75 feet) is less than 162 feet.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let l represent the length of the string, hence:

sin(28) = 75/l

l = 159.75 feet

Marcella would not be able to win the competition because her kite string (159.75 feet) is less than 162 feet.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0

2 years ago

Harriet has some five dollar bills and some one dollar bills She has 20 bills. The value of the bills is $72 write and solve a s

boyakko [2]

So let's say
x=number of five dollare bills
y=number of 1 dolar bills

20 bills total
x+y=20

totla is 72 monies
72=5 times x+1 times y=5x+1y=5x+y
solve

x+y=20
5x+y=72
from here you could do 2 things: go to option 1 (longer) or option 2 (shorter)

1.

x+y=20
subtract x from both sides
y=20-x

5x+y=72
subtract 5x from boths ides
y=72-5x
subsitute

y=20-x=y=72-5x
20-x=72-5x
add 5x to both sides
20+4x=72
subtract 20 from both sides
4x=52
divide both sides by 4
x=13

subsitute
x+y=20
13+y=20
subtract 13
y=7

2.

another way is when you got 5x+y=72 and x+y=20
you negative the second equaiton and add to th efirst
I know it sounds like voodo at first but it works
-(x+y=20)=-x-y=-20
add

5x+y=72
<u>-x-y=-20 +</u>
4x+0y=52
4x=52
divide both sides by 4
x=13

subsitute
x+y=20
13+y=20
subtract 13
y=7

8 0

4 years ago