Answer:
C. g(x) = 3·2^x +2
Step-by-step explanation:
The graph of g(x) appears to be a translation upward of the graph of f(x).
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To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)
g(x) = f(x) +5
g(x) = (3·2^x -3) +5
g(x) = 3·2^x +2
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You can also determine the correct choice by looking at the value at x=0:
A. g(0) = 3 +6 = 9
B. g(0) = 1 +3 = 4
C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph
D. g(0) = 3
Answer:
Step-by-step explanation:
1 <em>4(1) + 2 6</em>
3 <em>4(3) + 2 14</em>
6 <em>4(6) + 2 26</em>
0 <em>0 + 3 3</em>
2 <em>2 + 3 5</em>
4 <em>4 + 3 7</em>
<em>1 1 - 1 </em> 0
<em>3 3 - 1</em> 2
<em>5 5 - 1</em> 4
Answer:
a. 16
b. 80
c. Blood type AB
Step-by-step explanation:
Given:
O = 45%
A = 40%
B = 11%
AB = 4%
Total number of donors = 145
a. No. of donors that had type B blood = 
Type B blood donors ≈ 16
b. No. of blood donors without blood type O = 
Those without blood type O ≈ 80
c. Find the number of people that had type AB:
Type AB = 
≈ 6. This is less than 10 donors.
Therefore, blood type AB had less than 10 donors.
Answer:
(1,-5)
Step-by-step explanation:
The given system of inequalities are;
and
The point that is a solution will satisfy the two inequalities.
Checking for (1,-5)
and 
: True 
: True
This point lies in the solution region.
Checking for (1,5)
and 
: False 
: False
This point does not lie in the solution region.
Checking for (5,1)
and 
: False 
: True
This point does not lie in the solution region.
Checking for (-1,5)
and 
: True 
: False
This point does not lie in the solution region.
Answer:
x = 15.4
Step-by-step explanation:
Reference angle = 33°
Opposite side reference angle = 10
Adjacent side = x
Therefore, we would apply the trigonometric function, TOA.
Thus:
Tan 33° = Opposite/Adjacent
Tan 33° = 10/x
Multiply both sides by x
x*Tan 33° = 10
Divide both sides by Tan 33°
x = 10/Tan 33°
x = 15.3986496
x = 15.4 (nearest tenth)
