Answer:
(-infinity, infinity)
Step-by-step explanation:
Answer:
Power property for both
Step-by-step explanation:
The power property of logarithms says that if there is an exponent in a logarithm, then that exponent can be pulled to the front.
In the first question, 5 is at the front of the logarithm because it has been pulled from 3. If you move the 5 back to the 3, it would be 3^5, which is 243.
In the second question, 2 is at the front of the logarithm as it has been pulled from the 9. If you move the 2 back to the 9, it would be 9^2, or 81.
Example:
log10^2 would be equal to 2log10.
2x - y = -24
x + 7y = 3
Solve one equation for a variable and plug the resulting value into the second equation.
x + 7y = 3 Subtract 7y from both sides
x = -7y + 3
Now, plug that x-value into the x of the first equation.
2x - y = -24 Plug in the x-value
2(-7y + 3) - y = 24 Use the Distributive Property
-14y + 6 - y = -24 Combine like terms (-14y and -y)
-15y + 6 = -24 Subtract 6 from both sides
-15y = -30 Divide both sides by 15
y = 2
Next, plug the y-value back into the second equation.
x + 7y = 3 Plug in the y-value
x + 7(2) = 3 Multiply
x + 14 = 3 Subtract 14 from both sides
x = -11
y = 2 and x = -11
Answer:
Points apply to the given situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second.
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
Step-by-step explanation:
We have given,
A puppy is running at a rate = 4 feet per second
A wall is 20 feet away from puppy. That means initially puppy is 20 feet away from the wall.
So, time taken by puppy to reach the wall = 
i.e. time take by puppy to reach the wall = 
= 5 seconds
Now we write the points that apply to this situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second. {Since the puppy is moving towards the wall that means horizontal distance is decreasing at a rate of -4 feet per second}
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
