Answer:
Step-by-step explanation:
Answer:
The equation has a maximum value with a y-coordinate of -21.
Step-by-step explanation:
Given

Required
The true statement about the extreme value
First, write out the leading coefficient

means that the function would be a downward parabola;
Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.
The maximum value is:

Where:

So, we have:



Substitute
in 


<em>Hence, the maximum is -21.</em>
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Answer:
- GX = 122°
- XU = 148°
- UG = 90°
Step-by-step explanation:
Each arc has the same measure as its central angle. The sum of all of them is 360°.
angle UOG is marked as a 90° angle, so arc UG is 90°.
angle GOX is marked as 122°, so arc GX is 122°.
angle XOU fills out the rest of 360°, so its measure is 360° -90° -122° = 148°. That means are XU is 148°.
The arc measures are ...
- GX = 122°
- XU = 148°
- UG = 90°
Answer:
a) 3
b) 9
c) 81
d) x
Step-by-step explanation:
We know the properties of log function as:
1) log(AB) = log(A) + log(B)
2) 
3) log(aᵇ) = b × log(a)
also,
4) 
Given:
a. y = 
Now,
taking log both sides, we get
log(y) = 
using 3, we get
log(y) = log₃(3) × log(3)
using 4, we get
log(y) =
× log(3)
or
log(y) = 1 × log(3)
taking anti-log both sides
y = 3
b. y = 
Now,
taking log both sides, we get
log(y) = 
using 3, we get
log(y) = log₃(9) × log(3)
using 4, we get
log(y) =
× log(3)
or
log(y) = log(9)
taking anti-log both sides
y = 9
c. y = 
Now,
taking log both sides, we get
log(y) = 
using 3, we get
log(y) = log₃(81) × log(3)
using 4, we get
log(y) =
× log(3)
or
log(y) = log(81)
taking anti-log both sides
y = 81
d. y = 
Now,
taking log both sides, we get
log(y) = 
using 3, we get
log(y) = log₃(x) × log(3)
using 4, we get
log(y) =
× log(3)
or
log(y) = log(x)
taking anti-log both sides
y = x
Answer:
130
Step-by-step explanation: