B would be the answer i’m pretty sure , it said TWICE as many push ups so it would be 2x
Answer:
x < -2 (No, he shouldn't have reversed the inequality symbol).
Step-by-step explanation:
Given the algebraic expression;
19 - 2(1 - x) < 13
Opening up the bracket, we have;
19 + (-2*1) + (-2*-x) < 13
19 + (-2) + (2x) < 13
19 - 2 + 2x < 13
17 + 2x < 13
Rearranging the equation, we have;
2x < 13 - 17
2x < -4
Dividing both sides by 2, we have;
<em>x < -2</em>
Hence, your friend shouldn't have reversed the inequality symbol (sign).
Note: you should only flip the inequality symbol (sign) when you're dividing by a negative number such as -2.
For example, if we had re-arranged the equation as;
17 - 13 < -2x
4 < -2x
Dividing both sides by -2, we have;
4 > x
<span>we now know that the slope is -2 and since parallel lines have the same slope we know the line we are getting the equation to has a slop of -2. From here there are 2 ways to do this problem we can either use point slope formula or sub in the point and slope into the eqation y=mx+b and solve for b.
<span>Using point slope formula
y-y1=m(x-x1)
where y1=1, x1=3, and m = -2
y-1=-2(x-3)
y=-2x+6+1
y=-2x+7
</span><span>using algebra
y=mx+b
where y=1 m=-2 and x=3
1=-2(3)+b
1=-6+b
7=b
y=-2x+7</span></span>
Answer:
The population of interest is all the students at the University, to find their parking times.
Step-by-step explanation:
Sampling
This is a common statistics practice, when we want to study something from a population, we find a sample of this population.
For example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.
Here, the population of interest is all New York state residents.
An administrator inconspicuously followed 250 students and carefully recorded their parking times.
Sample of 250 students at the University.
So the population of interest is all the students at the University, to find their parking times.
Answer:
Mount Everest is taller by 9,688 ft.
Step-by-step explanation:
Find the difference between the heights.
29,028 - 19,340 = 9,688