Hey there :)
Writing in scientific notation means a should be
0 ≤ a < 10
Therefore, 0.000309 will be written as
3.09 x 10ⁿ
3 is the 4th decimal place value
so n = - 4
3.04 x 10⁻⁴
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:
5/11 is your answer.
Step-by-step explanation:
What you do is you need to find a number that goes in to both 125 and 275.
5 goes in to both of them.
125/5=25
275/5=55
25/55 This can still be reduced by 5.
25/5=5
55/5=11
5/11 is your answer.
Answer:
69.08 m
Step-by-step explanation:
C = 2(pi) x r
Radius (r) = 11
Pi = 3.14
C = 2(3.14) x 11 = 69.08
Answer:
16. B
17. B
Step-by-step explanation:
16. The intercept form of the parabola is
where 
are two x-intercepts.
In your case,
so
To find <em>a</em>, substitute coordinates of the point (-6,-4) parabola is passing through
and
17. The vertex form of the parabola equation is
where <em>(h,k)</em> are the coordinates of the vertex and sign "-" because parabola goes down.
In your case, vertex is (2,3), so
The vertex is 3 units from the focus, then
The equation of the parabola is
