Answer:
Step-by-step explanation:
<u>Solving in steps</u>
- 7^-1/7^2 =
- 7^-1 × 7^-2 =
- 7^(-1 - 2) =
- 7^-3
77/5=99/x
77x=5*99
77x=495
x=495/77
x=6.4
she needs to study 6.4 hrs to get 99
Answer:
Step-by-step explanation:
Let:
We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2
Now subtract (2) from 2*(1) in order to eliminate x:
Solving for y:
Multiplying both sides by -1
Finally, replacing the value of y in (1)
Solving for x:
add 41 to both sides:
Multiply both sides by 1/2:
Answer:
212 tickets were sold
Step-by-step explanation:
a (adult) + s (student) = 326
8a + 5s = 1972
-5(a + s = 326)
-5a-5s=1630
3a/3 = 342/3
a = 114
114 + s = 326
s = 212
Answer:
The y-intercept is at y = 10.
Step-by-step explanation:
It will be between y = 14 and y = 7 because the corresponding x values are -2 and 1.
An increase of 3 units of x gives a decrease of 6 units of y fro the above values.
Then an increase of 1 ( 1 to 2) in x gives decrease in y of 2 (8 to 6). The other values show the same pattern.
So very unit increase in x, the y values change by -2.
So from x = -2 to 0 is +2 units for x and this will be -4 units for y so the y-intercept ( when x = 0) will be at y = 14-4 = 10
y-intercept is (0,10).
