The exponential function which represented by the values in the table is 
⇒ 3rd answer
Step-by-step explanation:
The form of the exponential function is 
, where
- a is the initial value (when x = 0)
- b is the growth/decay factor
- If k > 1, then it is a growth factor
- If 0 < k < 1, then it is a decay factor
The table:
→ x : f(x)
→ -2 : 16
→ -1 : 8
→ 0 : 4
→ 1 : 2
→ 2 : 1
∵
- To find the exponential function substitute the value of x and f(x)
by some values from the table to find a and b, at first use the
point (0 , 4) to find the value of a
∵ x = 0 and f(x) = 4
∴ 
- Remember that any number to the power of zero equal 1
except the zero
∵ 
∴ 4 = a(1)
∴ a = 4
Substitute the value of a in the equation
∴ 
- Chose any other point fro the table to find b, lets take (1 , 2)
∵ x = 1 and f(x) = 2
∴ 
∴ 2 = 4 b
- Divide both sides by 4
∴ 
- Substitute the value of b in the equation
∴
The exponential function which represented by the values in the table is
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
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Answer:
answer A : (2 -5)
Step-by-step explanation:
the midipoint P,Q is the center A of this circle (because PQ is a diameter)
use : (x-6)²+(x+5)² = 16 you have : A(6 , -5) now let Q(x,y) :
(x+10)/2 = 6
(y-5)/2 = - 5
x+10 = 12
y-5 = -10
so : x = 2 and y = - 5....answer A : (2 -5)
Answer:
<em>Explanation below</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
There are two basic relations of angles we need to recall:
- Supplementary angles add up to 180°
- Internal angles of a triangle add up to 180°
Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:
c = 180 - ( a + b )
Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus
c = 180 - d
From the two relations above, it follows that:
a + b = d
Note: In option A, it should be "+" instead of "(".
Given:
The expression is
To find:
The equivalent expression.
Solution:
We have,
Using distributive property, we get
On combining like terms, we get
The expression 
is equivalent to the given expression.
Therefore, the correct option is A.
Answer:
Option 3
Step-by-step explanation:
The coordinates match it
