Answer:
The answer is ⇒ x = 0.73244
Step-by-step explanation:
∵ 90^x = 27 ⇒ insert log in both sides
∴ 
∵ 90 = 9 × 10 , 27 = 3³
∵ log(a)^<em>b</em> = <em>b</em><em> </em>log(a)
∴ log(9 × 10)^x = x log(9 × 10)
∴ 
∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)
∴ ![x[log(9)+log(10)]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%289%29%2Blog%2810%29%5D%3D3log%283%29)
∵ log(10) = 1 , 9 = 3²
∴ ![x[log(3)^{2}+1]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%283%29%5E%7B2%7D%2B1%5D%3D3log%283%29)
∴ ![x[2log(3)+1] = 3log(3)](https://tex.z-dn.net/?f=x%5B2log%283%29%2B1%5D%20%3D%203log%283%29)
∴ x = (3log3)/[2log(3)+1]
∴ x = 0.73244
Answer:
C. y = 2x + 8
Step-by-step explanation:
✔️First, find the slope of the line that goes through points (-2, 4) and (6, 20):
Slope (m) = ∆y/∆x = (20 - 4) / (6 - (-2))
Slope (m) = 16/8
m = 2
✔️Find the y-intercept (b):
To do this, substitute (x, y) = (6, 20) and m = 2 into y = mx + b
Thus:
20 = 2(6) + b
20 = 12 + b
20 - 12 = b
8 = b
b = 8
✔️Write the equation by substituting m = 2 and b = 8 into y = mx + b
Thus:
y = 2x + 8
Answer:
B
Step-by-step explanation:
In the set of ordered pairs {(3, 4), (4, 3), (4, 4), (5, 2)}, the domain is the set of the first number in every pair (those are the x-coordinates): {3, 4, 5}.
Answer:
A.Point
Step-by-step explanation:
He need 7 blankets because if you take away 3 7 times from the 21 u get 0
