Answer:
Slope = 5.
y-int = (0, -2).
Step-by-step explanation:
y = 5x - 2
The slope intercept form is
y = mx + b where m = the slope and b = the y-intercept.
So here, the slope = 5 and the y-intercept is where y = -2. That is the point (0, -2).
Answer:
160 students
Step-by-step explanation:
89 + 215 = 304
464 - 304 = 160
Answer:
The y-intercept of f(x) has the same value as the -x-intercept of f inverse-
The function f^1 (x) has a range including all values greater than or equal to 0; therefore, the -domain of f- does also
Step-by-step explanation:
Answer:
speed = (3/8 mi)/(3/5 h)
Step-by-step explanation:
... speed = distance/time
Fill in the given values:
... speed = (3/8 mi)/(3/5 h)
_____
<em>Comment on units</em>
You can use the units to provide both guidance and assurance. You know speed is generally expressed in <em>miles per hour</em>. If you consider "per" to mean "divided by", this expression of units tells you speed is calculated by dividing miles by hours.
If you leave the units with the numbers, as we have above, they enter into the calculation the same way any variable might. You can do the arithemetic with the numbers, and you can indicate the arithmetic with the units (just as you would with any variables). Here, the result of evaluating the equation would be ...
The fact that the units come out mi/h (the units of speed) provides assurance that you probably did the math correctly.
Answer:
D. $2,511
Step-by-step explanation:
First off, we need to write down the facts we know.
There are about 52.177 weeks in a year
Cesar works 28 hours each week
Cesar makes $23 an hour
There are 12 months in a year
Cesar has $3,360 after his monthly expenses
To figure out how many hours are in a "work year," multiply the number of work hours in a week by the number of weeks in a year. In other words, multiply Cesar's 28 hour work week by about 52.177 weeks. That makes 1,456 hours in his work year. That means he makes $33,492 a year. If you multiply $2,511 by the months in a year (12), you get $30132. Finally, subtract his annual salary by $30132 to get $3,360, which is what was left of Cesar's earnings after paying all of his monthly expenses. This means that your answer is: D. $2,511.
