Answer:
-4x^2 -3x - 5
Step-by-step explanation:
-4x^2 + 2x - 5(1 + x)
Distribute
-4x^2 + 2x - 5 -5x
Combine like terms
-4x^2 -3x - 5
Answer:
$4/ hour
Step-by-step explanation:
every hour you go you add 4 dollars
example: 1 hour is $2
2 hours is $6
Answer:
Probability (Roulette ball not landing on red) = 10 / 19
Step-by-step explanation:
Given:
Number of total slots = 38
Number of red slots = 18
Number of black slots = 18
Number of green slots = 2
Find:
Probability (Roulette ball not landing on red)
Computation:
Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)
Probability (Roulette ball not landing on red) = 1 - (18 / 38)
Probability (Roulette ball not landing on red) = 20 / 38
Probability (Roulette ball not landing on red) = 10 / 19
Answer:
no of 5 kg disks is 3, and no of 2 kg disks is (10-3) i.e. 7
Step-by-step explanation:
Let the no of 2kg disks be a.
Let no of 5 kg disks be b.
2a+5b=29
a+b=10
Using substitution, we have
2(10-b) + 5b=29
20-2b+5b=29
20+3b=29
3b=9
b=3
So no of 5 kg disks is 3, and no of 2 kg disks is (10-3) i.e. 7
Let's examine the given function first:
f(x) = x^2 + 1 is the same as f(x) = 1(x-0)^2 + 1.
The vertex of the graph of this function is at (0, 1).
Let x=0 to find the y-intercept: f(0)=0^2+1 = 1; y-int. is at (0,1) (which happens to be the vertex also)
Comparing f(x) = x^2 + 1 to y = x^2, we see that the only difference is that f(x) has a vertical offset of 1. So: Graph y=x^2. Then translate the whole graph UP by 1 unit. That's it. Note (again) that the vertex will be at (0,1), and (0,1) is also the y-intercept.
