Answer:
For this problem, simply substitute x in 
with the given x-values. The resulting coordinates should be (-3,2/27), (-2,2/9), (-1,2/3), (0,2), (1,6), (2,18), and (3,54). Now, you can plot the points, in order to get the exponential graph.
Answer:
10. 85°
11. 70°
12. 50°
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
1. Absolute value
: d. | - 7| = 7
2. All real numbers
: b. 3x = 3x
3. x = -5 : c. 5x = -25
4. No solution
: a. |2x| = -10
5. Adding the opposite to both sides of the equation.
: e. Canceling
Step-by-step explanation:
1. Absolute value
: d. | - 7| = 7
The absolute value is considered the distance to 0... so if there's a negative sign in the value, the negative sign disappears.
2. All real numbers
: b. 3x = 3x
If we divide both sides by 3, we have x = x, which will always be true.
3. x = -5 : c. 5x = -25
If we multiply each side by 5, we have 5(x) = 5(-5) thus 5x = -25
4. No solution
: a. |2x| = -10
The result of an absolute value cannot be a negative number. So, that has no solution since there's no value of x that would make this true.
5. Adding the opposite to both sides of the equation.
: e. Canceling
If you have for example (x = -5) and you add 5 on both sides, you cancel the value on the right side... (becomes x + 5 = 0).
A² - 2a - 8 = 0
(a - 4) (a + 2) = 0
a - 4 = 0 or a + 2 = 0
a = 4 or a = -2
