Negative exponents mean that you flip the number upside down
so -7^-2 would become 1/-7^2
-7^2 would be 49
so the answer is <em>1/49</em>
All you'd do is divide by 4 on both sides,
4/4 = 1
12/4 = 3
Your Answer:
x < 3
Answer:
the solution is x = 2 and y = 4 OR (2,4)
Step-by-step explanation:
From the question
Equation 1: 3x-2y= -2
Equation 2: 3x + y = 10
Subtract equation 1 from equation 2, that is
3x + y = 10 - (3x -2y = -2)
You get
3x - 3x + y - (-2y) = 10 - (-2)
0 + y + 2y = 10 + 2
3y = 12
Divide both sides by 3
∴ y = 12/3
y = 4
Substitute the value of y into equation 2 to get x
3x + y = 10
3x + 4 = 10
Then,
3x = 10 - 4
3x = 6
Divide both sides by 3
∴ x = 6/3
x = 2
Hence, the solution is x = 2 and y = 4
I would start by multiplying both sides of the inequality by 4 to eliminate the fraction
y + 8 >/= 12
Then subtract 8 from both sides
y >/= 4
Because it is greater than OR equal to, when you graph, you use a solid circle. Greater than means the arrow goes to the right on the line.
So, solid circle on the line on 4, arrow pointing to the right. (Third option from the right)
Answer:
72 cubic inches
Step-by-step explanation:
Volume of cone =
--1
Volume of cylinder =
--2
We are given that a cylinder should fit exactly inside the cone
On comparing 1 and 2 we can see:

Since we are given the volume of cone is 24 cubic inches .
So, 


Hence the volume of cylinder is 72 cubic inches
Option D is correct.