Answer: 15x² + 2x + 4
x = -2/3, 0, 1/2
Step-by-step explanation:
5x(3x + 2) - 4(2x - 1)
First, distribute:
15x² + 10x - 8x + 4
Combine like terms:
15x² + 2x + 4
This is your polynomial!
If you needed to solve for x, take your original factored polynomial and set each term equal to 0:
5x(3x + 2) - 4(2x - 1)
5x = 0
x = 0
3x + 2 = 0
3x = -2
x = -2/3
-4 = 0
No solution
2x - 1 = 0
2x = 1
x = 1/2
x = -2/3, 0, 1/2
Hope this helps!
They are corresponding angles because they are in the same spot on either side of the parallel lines.
Answer:
the number is -11
Step-by-step explanation:
let the number be written as x
so 3-4x=47
collect like terms
-4x=47-3
-4x=44
divide both sides by -4
-4x/-4=44/-4
x=-11
1.0649 to the nearest thousandths is 1.065
You could get this by finding where the thousandths place is, which is the third number.
Now, look at the number to the right.
If it's 5 or higher, round up.
If it's 4 or lower, round down.
Since it is 9, we round up.
The 4 turns into a 5.
So, 1.065
Hope I helped!
Answer:
At least 68% of observations lie between 22 and 26 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 24
Standard deviation = 2
22 = 24 - 2
22 is one standard deviation below the mean
26 = 24 + 2
26 is one standard deviation above the mean.
So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.