Answer:
a) 2
b) 5
c) -1
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 = log₂(2²)
thus, using 3
y = 2log₂(2)
or using 4
y = 2 × 
or
y = 2 × 1 = 2
b. y = log₂(2⁵)
thus, using 3
y = 5 × log₂(2)
or using 4
y = 5 ×
or
y = 5 × 1 = 5
c. y = log₂(2⁻¹)
thus, using 3
y = -1 × log₂(2)
or using 4
y = -1 ×
or
y = -1 × 1 = -1
d. y = log₂(2ˣ)
thus, using 3
y = x × log₂(2)
or using 4
y = x ×
or
y = x × 1 = x
5/10 in 3 equivalent forms is: 1/2 2/4 4/8
Short Answer f(x) down 5 units, left 2 units and right side up from g(x)
Step OneFind out what -g(x+2) is.
There are two steps to this. The first is to deal with the minus sign
(g(x)) = - x^2 + 5. Be very careful what you do next.
Put brackets around both terms on the right.
g(x) = (-x^2 + 5) Now put the minus sign in front of g(x) and another one in front of the brackets.
-g(x) = - (-x^2 + 5) Remove the brackets.
-g(x) = x^2 - 5
<em>Result</em>
So far g(x) moves down 5 units and opens upward.
Step TwoThe second step is to see what the x + 2 does.
-g(x + 2) = (x + 2)^2 - 5
The final result is that the graph opens upward, moves left 2 spaces and down 5.
There is a graph enclosed to show you the key steps.
The red graph is g(x) = x^2 - 5
The blue graph is g(x+2) = (x+2)^2 - 5
Answer:
the first one goes to the 3rd one and the last on goes to the last one
Step-by-step explanation:
Answer:
134.1 ft²
Step-by-step explanation:
<u>Fine the area of the square first, then subtract the area of the circle to find the area of the shaded part.</u>
The area of the square
= 25²
= 625 ft²
The radius of the circle
= 25 ÷ 2
= 12.5 ft
The area of the circle
= π × 12.5²
= 490.87385...
= 490.9 ft² (rounded up to the nearest tenth)
The area of the shaded part
= 625 - 490.9
= <u>134.1 ft²</u>
