What is negativity 7/9 shown as a decimal

The table represents the function f(x).

Irina18 [472]

Step 1

Find the slope of the function f(x)

we know that

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

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

Let

$A(-6,0)\\B(0,4)$

substitute

$m=\frac{4-0}{0+6}$

$m=\frac{4}{6}$

$m=\frac{2}{3}$

Step 2

Find the y-intercept of the function f(x)

The y-intercept is the value of the function when the value of x is equal to zero

in this problem the y-intercept of the function is the point $B(0,4)$

so

the y-intercept is equal to $4$

Step 3

Verify each case

we know that

the equation of the line into slope-intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

case A) $f(t)=t+4$

In this case we have

$m=1\\y-intercept=4$

therefore

the function of case A) does not have the same slope as the function f(x)

case B) $f(t)=t-6$

In this case we have

$m=1\\y-intercept=-6$

therefore

the function of case B) does not have the same slope and y-intercept as the function f(x)

case C) $f(t)=\frac{2}{3}t+4$

In this case we have

$m=\frac{2}{3}\\y-intercept=4$

therefore

the function of case C) does have the same slope and y-intercept as the function f(x)

case D) $f(t)=\frac{2}{3}t+6$

In this case we have

$m=\frac{2}{3}\\y-intercept=6$

therefore

the function of case D) does not have the same y-intercept as the function f(x)

therefore

the answer is

$f(t)=\frac{2}{3}t+4$

4 0

3 years ago

Read 2 more answers

(I may give brainliest) The roof of a lean-to-garden shed has a gradient of 0.35.find the height?

UkoKoshka [18]

Answer: 2.325 meters

Step-by-step explanation:

The roof of a lean-to-garden shed has a gradient of 0.35.find the height....they have given the base as 1.5m and a shorter height 1.8m its like a house

-------

It sounds like you have a right triangle with base = 1.5,

----

Use a proportion to get:

(height of that triangle)/1.5 = 35/100

height of that triangle = 1.5*0.35 = 0.5250

-----

greater height of the lean-to = 1.8 + 0.5250 = 2.325 meters

3 0

2 years ago

Read 2 more answers

How do I solve and find x?

oee [108]

Answer:

x=60

Step-by-step explanation:

First get x all alone on 1 side of the equation. Add 14.5 to both sides of the equation to cancel out the negative. You will then be left with

x/5= 12

Multiply both sides of the equation by 5 to cancel out the division and you'll get x=60

5 0

2 years ago

F(x) = -4x – 6 g(x) = x - 3 find f(g(3))

qaws [65]

Answer:

F (X-3) =4X-18

Step-by-step explanation:

6 0

3 years ago

4. The salaries of a school cook, custodian, and bus driver are in the ratio 2:4:3. If their

saw5 [17]

Answer:

cook: $1840
custodian: $3680
bus driver: $2760

Step-by-step explanation:

There are a total of 2+4+3 = 9 "ratio units", so each one is worth ...

$8,280/9 = $920

Multiplying the ratio by $920, we get ...

cook : custodian : bus driver = $920 × (2 : 4 : 3) = $1840 : $3680 : $2760

3 0

2 years ago