<span>(1,625) No
(0,-25) No
(-1,-1) No
Think about what an integer exponent means for an negative base and you'll understand this problem. For instance the powers of -25 would be
-25^1 = -25
-25^2 = (-25) * (-25) = 625
-25^3 = (-25)*(-25)*(-25) = -15625
and so on, giving 390625, -9765625, 244140625, etc.
But that's a different subject. For the ordered pairs given, let's check them out.
(1,625)
-25^1 + 1 = -25 + 1 = -24. And -24 is not equal to 625, so "No".
(0,-25)
-25^0 + 1 = 1 +1 = 2.
Note: Any real number other than 0 raised to the 0th power is 1. And 2 is not equal to -25, so "No".
(-1,-1)
-25^(-1) + 1 = 1/(-25^1) + 1 = 1/-25 + 1 = 24/25.
And 24/25 is not equal to -1, so also "No".</span>
Answer:
x is equal to thirty-two.
Step-by-step explanation:
x(x - 32) = 0
x² - 32x = 0
x - 32 = 0
x = 32
Answer:
The answer to your question is y = 2/3x + 4
Step-by-step explanation:
Data
Equation y = 2/3 x + 5
New line = ?
Process
Two lines are parallel if the have the same slope. The slope is the coefficient of the x.
1.- Get the slope of the original line
y = 2/3x + 5
slope = 2/3
2.- Two find the equation of a parallel line we need to point I will use (0, 4)
Use the point slope formula
y - y1 = m(x - x1)
y - 4 = 2/3(x - 0)
y - 4 = 2/3 x
y = 2/3x + 4
Answer:
Step-by-step explanation:
After 3 hours, Spike charges 6 dollars per hour. For 3 hours, the charge is only $5×3 = $15 (which is $3 less than $6×3). So the rate after 3 hours can be modeled by ...
s(h) = 6h -3
For 8 hours, s(8) = 6·8 -3 = 45 . . . . dollars
__
After 4 hours, Main Deck charges 8 dollars per hour. For 4 hours, the charge is only $18 (which is $14 less than $8×4). So the rate after 4 hours can be modeled by ...
m(h) = 8h -14
For 8 hours, m(8) = 8·8 -14 = 50 . . . . dollars
__
For 8 hours, the $45 charge at Spike's is $5 less than the $50 charge at Main Deck.
Since the ratio is part-Whole, first you need to find the whole. If you add all of the marble colors together (17+13+23) you get the total marbles (53) in the box. The ratio of red marbles to the total would be 17 to 53.