Answer:
k = +/-√48
Step-by-step explanation:
4x^2 + kx + 3 = 0
For equal (duplicate) roots the discriminant = 0, so
k^2 - 4*4*3 = 0
k^2 - 48 = 0
k^2 = 48
k = +/-√48
The simplification form of the provided expression is 2x²y⁴ option first is correct.
<h3>What is an expression?</h3>
It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
![= \rm \sqrt[3]{8x^6y^{12}}](https://tex.z-dn.net/?f=%3D%20%5Crm%20%5Csqrt%5B3%5D%7B8x%5E6y%5E%7B12%7D%7D)
![\rm =\sqrt[3]{8}\sqrt[3]{x^6}\sqrt[3]{y^{12}}](https://tex.z-dn.net/?f=%5Crm%20%3D%5Csqrt%5B3%5D%7B8%7D%5Csqrt%5B3%5D%7Bx%5E6%7D%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D)
![\rm \rm = \rm 2\sqrt[3]{x^6}\sqrt[3]{y^{12}}](https://tex.z-dn.net/?f=%5Crm%20%5Crm%20%3D%20%5Crm%202%5Csqrt%5B3%5D%7Bx%5E6%7D%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D)
![\rm =2x^2\sqrt[3]{y^{12}}](https://tex.z-dn.net/?f=%5Crm%20%3D2x%5E2%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D)
Thus, the simplification form of the provided expression is 2x²y⁴ option first is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ1
Answer:
x = 1
y = 5
Step-by-step explanation:
You can use either substitution or elimination for this problem. I will use substitution.
Step 1: Replace x in the 1st equation
-10(y-4) + 3y = 5
-10y + 40 + 3y = 5
-7y = -35
y = 5
Step 2: Plug <em>y </em>into an original equation to find <em>x</em>
x = 5 - 4
x = 1
And you have your final answers!
Answer:
16
Step-by-step explanation:
When you start off with 55 stuffed bear and take away 7 you get 48 and, 48/3 =16
Answer:
12hours
Step-by-step explanation:
24inch-2feet
24/2=12
