Answer:
Step-by-step explanation:
Let t represent the number of hours of lessons Audrey can take. Then 15t will be the cost of the lessons. Her total cost will be ...
15t +45 = 120 . . . an equation
15t = 75
t = 5
Audrey can afford 5 hours of lessons.
Step-by-step explanation:
4x + 2y = 10 --------(1)
2x + 3y = 33 -----------(2)
Multiply 2 with eq. (1) and 4 with eq. (2)
8x + 4y = 20 ____________(3)
8x + 12y = 132 ______(4)
Subtracting (3) from (4),
8x + 4y = 20
- 8x -12y = -132
----------------------
0 -8y = -112
y = 112/8
y = 4 is the answer.
Putting the vakue of y in eq. (2),
2x + 12 = 33
2x = 33-12
2x = 21
x = 21/2 is the answer.
Answer:
using exponent rules, the sign of the exponent changes when you take it to the denominator
Step-by-step explanation:
————————————-The answer is 3.78
The first equation
6x^2 -18x-24=0
-the graph opens up
6(x^2 -3x -4)=0
6(x^2 -3x +9/4-4-9/4)=0
6(x-3/2)-25x6/4=
6(x-3/2)-75/2
-Vertex is at (3/2, -75/2)
-Axis of symmetry is x=3/2
Second equation
3r^2 -16r -12=0
-the graph opens up
...