Answer:
First option: y = 5/6x + 12
Step-by-step explanation:
In the slope-intercept form, y = mx + b:
m = represents the slope
b = represents the y-coordinate of the y-intercept, (0, b).
In your given question, it states that the slope (m) = 5/6, and the y-intercept is (0, 12). This means that the value of (b) for your linear equation is the y-coordinate of (0, 12). Therefore, the correct answer is:
y = 5/6x + 12
Answer:
y = 40x
Step-by-step explanation:
Given - Alex walks from her home to the bus stop at a rate of 40 steps per minute.
To find - Write a rule they gives her from home in steps as a function of time after she leaves her home.
Proof -
The function will be a linear function.
The linear function is in the format of y(x) = mx + c
Let x be the total minutes
y be the total steps
So, the rule becomes
y(x) = 40x + 0
⇒y = 40x
As she walks 40 steps in 1 minutes
So, rate of change will be 40 and constant term will be 0.
Answer:
180
Step-by-step explanation:
If 35% did not wear happy faces, then 100% -35% = 65% did wear happy faces.
Then we have ...
... 117 = 65% × (all children)
... 117/0.65 = all children = 180 . . . . . . divide by 65% = 65/100 = 0.65
There were 180 children in all.
Answer:
x = 1425
Step-by-step explanation:
Given that,
A student found out that 8% of the students in his school are left-handed.
Total no of lefties = 114
We need to find the total number of students in the school. Let they are be x.
ATQ,
8% of x = 114
Hence, there are 1425 students in the school.
Answer:
Assuming you are asked for the equation of the graph, the answer would be y=|x+2|-1.
Step-by-step explanation:
The parent function for the "V-shape" is y=|x|. This particular function is translated to the left two units and down one. This is shown by adding two to x within the absolute value and subtracting one from the absolute value of x+2, leaving you with y=|x+2|-1. If you plug this equation into desmos online graphing calculator, you will see that the graph is identical to the one given.