9|⁻¹/₃z| + 6 < 30
9|⁻¹/₃z| + 6 < ±30
9|⁻¹/₃z| + 6 < 30 or 9|⁻¹/₃z| + 6 > -30
9(¹/₃z) + 6 < 30 or 9(¹/₃z) + 6 > -30
3z + 6 < 30 or 3z + 6 > -30
- 6 - 6 - 6 - 6
3z < 24 or 3z > -24
3 3 3 3
z < 8 or z > -8
Solution Set: {z|z < 8 or z > -8} and (-∞, 8) or (-8, ∞)
When there's more than one letter, and you just have to solve for one variable, you can just solve it like you would any other equation. Treat the other variables like numbers and add, subtract, multiply, and divide them to both sides of the equation in order to isolate the variable you want to solve for.
No I don’t think so but then again idk
Answer:
You are right
Step-by-step explanation:
So basically find the absolute maximum of the graph that the function creates, the highest peak is the spot with the greatest y-value, in this case is (60, 1600).
The x-value that creates the greatest y is also the x-value of the vertex for that function of yours (since your function has end behavior of both ends down). To find the x-value of the vertex, get the average of the 2 x-intercepts. So (20+100)/2, which is 60.
Hi there!
So for #1:
-12>-36-8x
+36 to both sides of the inequality
24>-8x
Divide both sides by negative 8
Note: when you divide by a negative number, the inequality changes direction.
So you end up with -3-3
For the other two, you forgot to include y and t, so I can't help solve those yet.