Answer:
B. x < -8
Step-by-step explanation:
Well first we need to get x by itself.
To do that we do 4 / -1/2 = -8
And since a negative was divided the > changes to a <.
So x<-8.
If x is less than -8 the line starts at -8 and goes to the left.
<em>Thus,</em>
<em>the answer is choice b.</em>
<em />
<em>Hope this helps :)</em>
Step-by-step explanation:
The sequence is as follows :
-59 ,-67 ,-65 ,-53 ,-31 ,...
The first term = -59
The second term = -67
Common difference = second term - first term
To calculate the second term add (-8).
To calculate each additional term, increase the amount added by -8.
is strictly increasing on [0, 5], so
and
so the integral is bounded between
Number of weekend minutes used: x
Number of weekday minutes used: y
This month Nick was billed for 643 minutes:
(1) x+y=643
The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44
We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44
Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y
Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44
Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72
Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243
Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400
Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
Answer:
Volume of a circle = approximatley 25.12
Step-by-step explanation:
1. Volume of a circle= 4/3*pi*radius
2. Radius equals 1/2 of diameter
3. 12/2=6
4. radius=6
5. 4/3*3.14*6=25.12
6. Volume of a circle = approximatley 25.12
