Answer:
x = 3
y = 4
Step-by-step explanation:
-4x+2y=-4 -----(eq1)
4x-5y=-8 ------(eq 2)
by elimination,
(eq1) + (eq 2),
(-4x+2y) + (4x-5y) = -4 + (-8)
-4x+2y + 4x-5y = -4 -8
2y-5y = -12
-3y = -12 (divide both sides by -3)
y = -12 / (-3) = 12/3 = 4 (sub back into (eq 1) )
-4x+2y=-4 -----(eq1), when y = 4,
-4x+2(4)=-4
-4x+8 = -4 (subtract 8 from both sides)
-4x= -4 - 8
-4x= -12 (divide both sides by -4)
x = -12 / (-4) = 3
The answer 3.8 to the nearest hundreds is 3,800
Let's solve your inequality step-by-step.
−
2
a
−
5
>
3
Step 1: Add 5 to both sides.
−
2
a
−
5
+
5
>
3
+
5
−
2
a
>
8
Step 2: Divide both sides by -2.
−
2
a
−
2
>
8
−
2
a
<
−
4
Answer:
a
<
−
4
216 raised to the power 1/3 can also be written as cube root of 216.
Changing the given expression to radical form, we can write:
![(216)^{ \frac{1}{3} } \\ \\ = \sqrt[3]{216}](https://tex.z-dn.net/?f=%28216%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Csqrt%5B3%5D%7B216%7D%20)
216 is the cube of 6 i.e. multiply 6 three times (6 x 6 x 6), you will get 216.
So we can write the above expression as:
![\sqrt[3]{(6)^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%286%29%5E%7B3%7D%20%7D%20)
The cube root and cube cancel out each other, leaving the answer equal to 6.
So, the correct answer is option B