The equation of the linear function represented by the table is
y = -x + 9
Step-by-step explanation:
The equation of a linear function is y = m x + b, where m is the slope
and b is the y-intercept
To find the equation:
- Use any two points from the table to find the slope m
- Substitute x and y in the equation by the coordinates of any point in the table to find b
The formula of the slope is , where
and are two points in the table
The table:
x → -5 -2 1 4
y → 14 11 8 5
Let us use points (-5 , 14) and (-2 , 11) to find the slope of the equation
∵ = -5 and = -2
∵ = 14 and = 11
∴
∴ m = -1
∵ The form of the equation is y = mx + b
- Substitute the value of m in the form
∴ y = -x + b
- To find b substitute x by -5 and y by 14
∴ 14 = -(-5) + b
∴ 14 = 5 + b
- Subtract 5 from both sides
∴ 9 = b
- Substitute the value of b in the equation
∴ y = -x + 9
The equation of the linear function represented by the table is
y = -x + 9
Learn more:
You can learn more about the linear equation in brainly.com/question/9801816
#LearnwithBrainly
Answer:
2z+-z-1, so it will be
z-1
Step-by-step explanation:
I hope it helped a little, please give me brainliest
<h3>
Answer: 6 hours, 40 minutes</h3>
======================================================
Work Shown:
(x hours strength)/(4 hours endurance) = 5/3
x/4 = 5/3
3x = 4*5
3x = 20
x = 20/3
x = (18+2)/3
x = 18/3 + 2/3
x = 6 + 2/3
x = 6 & 2/3
He needs to spend 6 full hours, plus an additional 2/3 of an hour, on strength training.
1 hr = 60 min
2/3 hr = (2/3)*60 min
2/3 hr = 40 min
6 hr + 2/3 hr = 6 hr + 40 min
Therefore, he needs to spend 6 hours, 40 minutes on strength training.
This is equivalent to 6*60+40 = 360+40 = 400 minutes.
Rewrite 1 1/5 as 6/5
Now you have 12 / 6/5
When dividing by a fraction, flip the fraction over and multiply:
12 / 6/5 = (12 x 5) /6 = 60/6 = 10
The answer is 10