Answer:
-2x+19
Step-by-step explanation:
9x-(-19+11x)=9x+19-11x=-2x+19
These are 3 questions and 3 answers.
Question 1.
Answer: bot equations have the same potential solutions, but equation A may have extraneous solutions
Explanation:
1) Equation A

Replace x = -4 in the right side of the equation:

Which is not defined, so this is a extraneous solution.
2) Equation B.
Since it is a cube root, it is defined for any (negative, zero, and positive) values of x.
Question 2.
Answer: cubing both sides once.
Explanation:
![\sqrt[3]{5x-2} -\sqrt[3]{4x} =0\\ \\ \sqrt[3]{5x-2} =\sqrt[3]{4x}\\ \\ (\sqrt[3]{5x-2} )^3=(\sqrt[3]{4x})^3\\ \\ 5x-2=4x\\ \\ 5x-4x=2\\ \\ x=2](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B5x-2%7D%20-%5Csqrt%5B3%5D%7B4x%7D%20%3D0%5C%5C%20%5C%5C%20%20%5Csqrt%5B3%5D%7B5x-2%7D%20%3D%5Csqrt%5B3%5D%7B4x%7D%5C%5C%20%20%5C%5C%20%20%28%5Csqrt%5B3%5D%7B5x-2%7D%20%29%5E3%3D%28%5Csqrt%5B3%5D%7B4x%7D%29%5E3%5C%5C%20%20%5C%5C%20%205x-2%3D4x%5C%5C%20%5C%5C%20%205x-4x%3D2%5C%5C%20%5C%5C%20%20x%3D2%20)
3) Question 3.
Answer: c - 2 = 25 + c + 10√c
Explanation:

Answer:
3 sqrt(3)
----------- or -----------
2 sqrt(3) 2
Step-by-step explanation:
3 sqrt(8)
-----------------
4 sqrt(6)
3 sqrt(4*2)
-----------------
4 sqrt(3*2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
3 sqrt(4) sqrt(2)
------------------------
4 sqrt(3) sqrt(2)
Canceling the sqrt(2) and sqrt(4) is 2
3*2
----------
4 sqrt(3)
3
-----------
2 sqrt(3)
We can simplify the answer be multiplying by sqrt(3)/sqrt(3)
3 sqrt(3)
----------- * ----------
2 sqrt(3) sqrt(3)
3 sqrt(3)
-----------
2 *3
sqrt(3)
-----------
2
We have the following data:
Under 3 years = 0 $
3 to 12 years = $ 34
Over 12 years = $ 45
103 people
There were 64 children aged 12 and under, of which some children were under 3 years
If x represents the number of children under 3 years
We have then that the equation is
34 * (64-x) + 45 (103-64) = C
answer
C = 34 * (64-x) + 45 (103-64)
Area of Trapezoid is = 1/2 x height x (base1 + base2)
Here, Area = 98, base1 = 8, base2 = 20 and height = unknown (x)
So, 1/2 x height x (8+20) = 98
==> 1/2 x height x 28 = 98
==> height x 14 = 98
==> height = 98/14
==> height = 7 units
So, the final answer is --> the value of x = 7 units