You only have to sum the expressions of the two functions:
3 * 5 = 15 that is how many hours he works in the mornings
40 - 15 = 25
He works 25 hours in the afternoon every week.
25 / 5 = 5
So his father works 5 hours every after noon 5 days out of the week
Answer:
c. 19
Step-by-step explanation:
This model is describing a function. You put in a number for x, in this case, the input of 7 on the side. You solve the equation with that x-value to get a y-value/output.
x=7
y=3x-2
y=3(7)-2
y=21-2
y=19
The y intercept is 5, since slope is y=mx+b. The x intercept is at -2. If you have more problems like this there is an amazing calculator that graphs equations like this for you. www.symbolab.com. Hope this helps!
Option A
The line is perpendicular to
<u>Solution:</u>
Given that line is
We have to find the line perpendicular to this line.
The given line equation is in form of slope-intercept form
<em><u>The slope-intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of the line and "c" is the y-intercept
On comparing the given equation with slope-intercept form, we get
<em>If a line is perpendicular to another line, then the product of their slopes will always be -1</em>
Let the slope of line which is perpendicular to given line be "a"
Then we get,
Now look at the options and compare with slope intercept form and find out which option has the slope "m" =
Option A has the slope
Thus option A is correct