Answer:
-3
Step-by-step explanation:
f(x)=-2x+7
f(5)=-2×5+7
=-10+7
=-3
Answer:
log₅(3125) = 5
Step-by-step explanation:
Given:
log₅(3125)
Now,
using the property of log function that
logₐ(b) = 
thus,
Therefore, applying the above property, we get
⇒
(here log = log base 10)
now,
3125 = 5⁵
thus,
⇒ 
Now,
we know from the properties of log function that
log(aᵇ) = b × log(a)
therefore applying the above property we get
⇒ 
or
⇒ 5
Hence,
log₅(3125) = 5
Answer:
y = 6 or 8
Step-by-step explanation:
1. Subtract the constant:
y^2 -14y = -48
2. Add the square of half the y-coefficient:
y^2 -14y +49 = -48 +49
Write as a square, if you like:
(y -7)^2 = 1
3. Take the square root:
y -7 = ±√1 = ±1
4. Add the opposite of the constant on the left:
y = 7 ±1 = 6 or 8
The solution is y = 6 or y = 8.
Answer:
a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.
Step-by-step explanation:
For the same home (x1 is the same), x2 = 1 if it is on a busy street and x2 = 0 if it is not on a busy street. If x2 = 1, the value of 't' decreases by 3.6 when compared to the value of 't' for x2=0. Since 't' is given in thousands of dollars, when a home is on a busy street, its value decreases by 3.6 thousand dollars.

Therefore, the answer is a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.
Answer:
t = 8.9
Step-by-step explanation:
6.35t = 56.515
56.515 / 6.35 = t
t = 8.9