Answer:
The correct options are:
Option B) 
is never zero.
Option F) When x=0, y≠0
Step-by-step explanation:
Consider the provided function.
When we substitute x=0 in above function we get:
When we substitute x=-1 in above function we get:
When we substitute x=1 in above function we get:
The above function is exponential function which does not pass through the origin and the range of the function is a positive number.
The graph of the function is shown in figure 1.
Now consider the provided options.
Option A) is always greater than or equal to 1.
The option is incorrect as the value of the function is less than 1 for negative value of x.
Option B) is never zero
The option is correct.
Option C) When y=0, x=0
The option is incorrect.
Option D) When x=0, y=4
When x=0 the value of y is 1.
Thus, the option is incorrect.
Option E) is zero when x=0
When x=0 the value of is 1.
Thus, the option is incorrect.
Option F) When x=0, y≠0
The option is correct as 0≠1.
A. -1
(1,2) and (2,1)
slope = 2 -1 / 1 -2
slope = 1 / -1
slope = -1
Answers:
- The equation is W = 33T + 500
- After 14 minutes, there are <u> 962 </u> liters of water.
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Explanation:
- T = number of minutes
- 33T = amount of added water in liters, since we're adding 33 liters per min.
- 33T+500 = adding on the initial 500 liters
This leads to the equation W = 33T + 500
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Plug in T = 14
W = 33T + 500
W = 33*14 + 500
W = 462 + 500
W = 962 liters of water are in the pond after 14 minutes
The answer is c not D you are welcome
The side lengths are given in proportions which are 2:3:5:6. The perimeter is given as the sum of all the sides which is given as 48 cm. Using ratio and proportion, the sum of all the sides or the perimeter is proportional to the sum of all the fractions and the largest fraction is proportional to the longest side of the quadrilateral.
Let x be the longest side of the quadrilateral. The largest proportion is 6.
6/(2+3+5+6) = 6/16
6/16 = x/48
x= 18 cm. The longest side is 18 cm. The other sides are 6, 9, 15 using the other proportions.
