Step-by-step explanation:
p^2-3p(3/2)^2=8+(3/2)^2
p^2-(3/2)^2=8+9/4
√(p-3÷2)^2=√(8+9÷4) take LCM and cancel out the square and square root
p-3÷2=√(32+9÷4)
p=(3+_√41÷2)
4.560, 4.561, 4.562, 4.563, 4.564......all of these, when rounded to the nearest hundredth = 4.56
C = -5/3 = -1 2/3
Write down the equation and solve for c
-3 - 3/4(c-4) = 5/4
Distribute the 3/4
-3 -(3/4)c + 3 = 5/4
Perform the addition of -3 and 3
-(3/4)c = 5/4
Divide both sides by -(3/4)
c = 5/4 / (-3/4) = 5/4 * (-4/3) = -20/12 = -5/3
So the value of c is -5/3. Let's verify it.
-3 - 3/4(-5/3 - 4) = x
Distribute the -3/4
-3 - (3/4)(-5/3) + (3/4)4 = x
-3 +15/12 + 3 = x
Combine terms
15/12 = x
Simplify
5/4 = x
Answer: C
Step-by-step explanation:
The formula for a volume of a square-based prism is L² x h
If we insert 2 for L
We get 2² x 12 = 48
Same thing if we insert 3
3² x 12 = 108
As L is increasing, the volume is also increasing, so options A and D are out
The growth of the volume is not linear; it's exponential, eliminating B to make C the answer
If you want something visual, you can put y=12x² into a graphing calculator.
Answer:
y=7
Step-by-step explanation:
Assuming that the equation is 14-2y=0
We need to isolate 'y' variable to obtain its value, to do that, lets start by subtracting -14 to both sides of equality sign,
14-2y=0 is now this: 14-14-2y=0-14, which is equals to -2y=-14
Now, lets continue by dividing by -2 both sides of equality sign.
We have this
-2y/-2=-14/-2
y=7
Thus, we've obtained the value for 'y' variable
