A = {0, 1, 2, 3}
C = {0, a, 2, b}
A ∩ C = {0, 2} → E)
A set of the same elements from the set A and the set C.
This graph has a horizontal asymptote so it is an exponential graph. It also passes through two points (0,-2) and (1,3). The horizontal asymptote is at y=-3.
The unchanged exponential equation is y=a(b)^x +k
For exponential equations, k is always equal to the horizontal asymptote, so k=-3.
You can check this with the ordered pair (0,-2). After that plug in the other ordered pair, (1,3).
This gives you 3=a(b)^1 or 3=ab. If you know the base the answer is simple as you just solve for a.
If you don't know the base at this point you have to sort of guess. For example, let's say both a and b are whole numbers. In that case b would have to be 3, as it can't be 1 since then the answer never changes, and a is 1. Then choose an x-value and not exact corresponding y-value. In this case x=-1 and y= a bit less than -2.75. Plug in the values to your "final" equation of y=(3)^x -3.
So -2.75=(3^-1)-3.
3^-1 is 1/3, 1/3-3 is -8/3 or -2.6667 which is pretty close to -2.75. So we can say the final equation is y=3^x -3.
Hope this helps! It's a lot easier to solve problems like these given either more points which you can use system of equations with, or with a given base or slope.
-4(-x-10)= 4x• 40
11g+4-6g+7s-10 =16g+6-7s
3(10+9x)+11-3x= 13x+19
Answer:
sin(B) = 12/13
cos(B) = 5/13
tan(B) = 12/5
csc(B) = 13/12
sec(B) = 13/5
cot(B) = 5/12
Step-by-step explanation:
If ABC is a right triangle, assuming that ∠C = 90°, then the segment AB =13 is the hypotenuse and the other two sides are:
The six trigonometric functions of angle B are:
The students rented 4 small cars and 8 large cars.
Step-by-step explanation:
Given,
Number of people in small car = 4
Number of people in large car = 7
Total people in both type of cars = 72
Let,
x represent the number of small cars rented.
y represent the number of large cars rented.
According to given statement;
4x+7y=72 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 18
Putting x=4 in Eqn 2
The students rented 4 small cars and 8 large cars.
Keywords: linear equation, substitution method
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