Answer:
9:15 am
Step-by-step explanation:
Alarms sound at 7:15 am
Alarm frequencies are 40 min and 60 min
Since 40= 20*2 and 60= 20*3, the overlapping frequency is:
- 20*2*3= 120 min = 2 hours
So next time both alarms sound at 7:15 am + 2 hours = 9:15 am
Answer:
C. Add 13 to both sides of the equation.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, m. Add 13 to both sides of the equation:
m - 13 = 24
m - 13 (+13) = 24 (+13)
m = 24 + 13
m = 37
~
Answer:
Equation of the parabola: y = 3 - 7x^2
Step-by-step explanation:
The equation of the parabola with vertex (h,k) is y = a(x - h)^2 + k
Thus, the equation of this parabola is y = ax^2+3
To find a, use the fact that the parabola passes through the point (1,−4):
-4 = a(1)^2 +3
Solving this equation, we get that a = −7.
Thus, the equation of the parabola is y = 3 − 7x^2.
Regarding question number 47, which is what I can read well ...
Equation 4 (3x-2) ² = 36 It can be solved in the following way:
-Apply distributive property
4 (9x ²-12x +4) = 36
-We order the terms and equalize to zero
36x² -48x +16 -36 = 0
36 x ² -48x -20 = 0
The roots of this equation are
(-48 + √(48 ²-4 ×36 × -20)) / 2 ×36
and
(-48 - √(48 ²-4 × 36 ×-20)) / 2 ×36
Finally the solution is:
option C
x = -1 / 3
x = 5/3
