Answer:
Does 2⁸ = (3√16)⁶? No.
Step-by-step explanation:
2⁸ = (3√16)⁶
Evaluate 2⁸. This can simply be written out as:
2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
4 * 2 * 2 * 2 * 2 * 2 * 2
8 * 2 * 2 * 2 * 2 * 2
16 * 2 * 2 * 2 * 2
32 * 2 * 2 * 2
64 * 2 * 2
128 * 2
256.
256 = (3√16)⁶
Evaluate √16.
256 = (3*4)⁶
Multiply 3 and 4.
256 = 12⁶
Evaluate 12⁶. This can be rewritten as:
12 * 12 * 12 * 12 * 12 * 12
144 * 12 * 12 * 12 * 12
1728 * 12 * 12 * 12
20736 * 12 * 12
248832 * 12
2985984.
Since 256 ≠ 2985984, the answer to this question is no.
Answer:
A) x = 3 or -1
B) x = -7
C)x = -7
Step-by-step explanation:
A) x² + 2x + 1 = 2x² - 2
Rearranging, we have;
2x² - x² - 2x - 2 - 1 = 0
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
B) ((x + 2)/3) - 2/15 = (x - 2)/5
Multiply through by 15 to get;
5(x + 2) - 2 = 3(x - 2)
5x + 10 - 2 = 3x - 6
5x - 3x = -6 - 10 + 2
2x = -14
x = -14/2
x = -7
C) log(2x + 3) = 2log x
From log derivations, 2 log x is same as log x²
Thus;
log(2x + 3) = logx²
Log will cancel out to give;
2x + 3 = x²
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
Answer:
C
Step-by-step explanation:
Answer:
y = 3x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (2, 3) into the partial equation
3 = 6 + c ⇒ c = 3 - 6 = - 3
y = 3x - 3 ← equation of line
Sometimes. A trapezoid only need to have two parallel sides.
