Answer:
10
Step-by-step explanation:
Step-by-step explanation:
<u>Given</u>
- x + 2y = 3 and xy = 2
- show that x³ + 8y³ + 9 = 0
<u>Solution in steps:</u>
- (x + 2y)³ = 3³
- x³ + 3x²(2y) + 3x(2y)² + (2y)³ = 27
- x³ + 6x(xy) + 12y(xy) + 8y³ = 27
- x³ + 8y³ + 6(x + 2y)xy = 27 ⇒ Substitute values
- x³ + 8y³ + 6*3*2 = 27
- x³ + 8y³ + 36 - 27 = 0
- x³ + 8y³ + 9 = 0
Done
Answer:
y=-1/3x+3
Step-by-step explanation:
Answer:
The percentage of people that scored less than Calvin is 38.21 %
Step-by-step explanation:
In this question, we are concerned with calculating the percentage of exam scores lesser than what Calvin scores.
To calculate this, we first need to calculate the standard score or the z-score of Calvin result.
Mathematically;
z = (x - mean)/SD
from the question, x = 78, mean = 81 and SD = 10
Substituting this, we have
z = (78 -81)/10 = -3/10 = -0.3
So we proceed to calculate the probability.
P(x < 78) or P(z < -0.3)
We make use of the standard table to get this probability
P(z< - 0.3) = 0.38209
In percentage, this is same as 38.209% or more simply 38.21%
1ST Piece =======> 2x ======> 2 * 3 ft. ======> 6 ft.
2ND =========> 5x =======> 5 * 3 ft. ======> 15 ft.
3RD ==========> 4 Feet =======> 4 ft.
Sum ======> 25 Feet
Equation:
(2x + 5x) + (4) = 25
Let's solve your equation step-by-step.
2x + 5x + 4 = 25
Step 1: Simplify both sides of the equation.
2x + 5x + 4 = 25
(2x + 5x) + (4) = 25 (Combine Like Terms)
7x + 4 = 25
7x + 4 = 25
Step 2: Subtract 4 from both sides.
7x + 4 − 4 = 25 − 4
7x = 21
Step 3: Divide both sides by 7.
7x / 7 = 21 / 7
Answer ========> x = 3
Check:
(2x + 5x) + (4) = 25
2(3) = 6
5(3) = 15
3rd Piece = 4
Sum = 25
6ft. + 15ft. + 4ft = 25
25 = 25
Hope that helps!!!!!!!!!!!!! : )
