Answer:
x-intercept: (-3,0)
y-intercept: (0,-3)
Step-by-step explanation:
Looking at the equation, we can see that it is already in standard form, or in a 
format. Whenever a line is put into standard form, the x-intercepts are represented by 
and the y-intercepts are represented by 
. So, let's calculate them by doing the following:
1) Find the x-intercept by using the formula. Substitute the number on the right side of the equation for 
and the coefficient for the x term for 
. So, in this case, 
and 
:
Therefore, the x-intercept is (-3,0).
2) Next, find the y-intercept by using the 
formula and substituting the right values. is still the number on the right side of the equation and 
is the coefficient of the y term. So, and 
.
Therefore, (0, -3) is the y-intercept.
Answer:
ANSWER
n < - 3 \: or \: n > - 2n<−3orn>−2
EXPLANATION
The given inequality is,
|2n + 5| \: > \: 1∣2n+5∣>1
By the definition of absolute value,
- (2n + 5) \: > \: 1 \: or \: (2n + 5) \: > \: 1−(2n+5)>1or(2n+5)>1
We divide through by negative 1, in the first part of the inequality and reverse the sign to get,
2n + 5 \: < \: - 1 \: or \: (2n + 5) \: > \: 12n+5<−1or(2n+5)>1
We simplify now to get,
2n \: < \: - 1 - 5 \: or \: 2n \: > \: 1 - 52n<−1−5or2n>1−5
2n \: < \: - 6 \: or \: 2n \: > \: - 42n<−6or2n>−4
Divide through by 2 to obtain,
n \: < \: - 3 \: or \: n \: > \: - 2n<−3orn>−2
Answer:
1 time unit
Step-by-step explanation:
There is a 1 in 3 chance that the time until the bulb burns out is zero, and a 2 in 3 chance that the time is the average between 0 and 3 (since it is uniformly distributed). Therefore, the expected value for the time until it burns is:
The expected value of the time until the lightbulb burns out is 1 time unit.
Answer:
B. 61
Step-by-step explanation:
7, 10, 13, 16...
ok so were starting with 7 and adding 3 every time
im going to do 3 times 19 like as if we started with 3 then im going to add 4
3 x 19 = 57
57 + 4 = 61
the 19th term is 61
Answer: 500 + 3 + .200 +.008
Step-by-step explanation: You add 500 and 3 then after you get your number add .200 then add .008
