Answer:
Simplifying
6x + -3 = 21 + -2x
Reorder the terms:
-3 + 6x = 21 + -2x
Solving
-3 + 6x = 21 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
-3 + 6x + 2x = 21 + -2x + 2x
Combine like terms: 6x + 2x = 8x
-3 + 8x = 21 + -2x + 2x
Combine like terms: -2x + 2x = 0
-3 + 8x = 21 + 0
-3 + 8x = 21
Add '3' to each side of the equation.
-3 + 3 + 8x = 21 + 3
Combine like terms: -3 + 3 = 0
0 + 8x = 21 + 3
8x = 21 + 3
Combine like terms: 21 + 3 = 24
8x = 24
Divide each side by '8'.
x = 3
Simplifying
x = 3
Step-by-step explanation:
I think the answer be C? Sorry if it's wrong
Answer:
No real
solution
Step-by-step explanation:
Firstly, let us check if we would be having a real solution
We start by rewriting the equation
We have this as;
8x^2 -25x + 24 = 0
We proceed to get the discriminant
Mathematically, we have this as;
D = b^2 - 4ac
b is the coefficient of x which is -25
a is the coefficient of x^2 which is 8
c is the last number which is 24
So we have;
D = (-25)^2 - 4(8)(24)
D = 625 - 768 = -143
Since the value of the discriminant is negative, there cannot be real roots
What we have as solution are complex roots
Hi there!
We can use the following equation:
z = amount of standard deviations away a value is from the mean (z-score)
σ = standard deviation
x = value
μ = mean
Plug in the knowns for both and rearrange to solve for the mean:
Other given:
Set both equal to each other and solve:
Area of the bottom triangle = 1/2 x 10 x 8.7 = 43.5 cm²
Area of the 3 rectangles = 3(10 x 6) = 180 cm²
Area of the top triangle = 3 (1/2 x10 x 4) = 60 cm²
Total surface are = 43.5 + 180 + 60 = 283.5 cm²
Answer: 283.5 cm²
