The ordered pairs which lie on the graph of the exponential function, f(x) = 3(0.2)^x is; Choice A; (0, 3).
<h3>Ordered pair Solution;</h3>
The given exponential function is;
By testing all values; Only the pair; (0, 3) is a solution to the graph of the exponential given.
By testing;
- Where, (0.2)⁰ = 1 (from indices).
Read more on ordered pairs;
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y=7m+6
subtract 6 from each side
y-6 = 7m
divide by 7
(y-6)/7 =m
A = 6b
divide by 6
A/6 = b
Answer:
( 5, 7), ( 5, 7), Yes M is the center
Step-by-step explanation:
It could help you under stand this by drawing it out on paper. I can't draw it here. You just need to visualize a circle with points A and B on the outside portion of the circle. Then there is point M inside the circle. You are trying to figure out if M is in the center or not.
Look at the coordinates for all 3 and find the distance from A to M and then B to M. Count the total distance of the x values and the y values keeping in mind that positive Y numbers are above the x axis and negatives are below. And, negative numbers for X are to the left of the y axis and positive is to the right.
From A ( -1, -9) to M ( -6, -2). Look at the x values. You are going from -1 to -6 which is a total of 5 points. Now look at y values. You are going from -9 to -2 which is a total of 7 points. So the distance in coordinates is ( 5, 7)
From B ( - 11, 5) to M ( -6, -2). Again look at x values. You're going from -11 to -6 which is 5 points. Looking at the y values, you are going from 5 to -2. This is 5 above the x axis going down to a -2 which is below the x axis. So the total is 7 points. The distance of these two is also ( 5, 7 ) which is the same as the other distance.
Therefore, you can state correctly that M is the center of the circle.
Answer:
An = A0 + 100 * n - (An-1) * 0.10
Step-by-step explanation:
Tenemos una regla recursiva para una secuencia es una fórmula que nos dice cómo avanzar de un término a otro en una secuencia. Por lo tanto debemos buscar a An.
Hay un valor inicial que es 5000, una ganancia y una perdida de clientes, que podemos representar así:
An = 5000 + Ganancia - Perdida
Inicial = A0 = 5000
Ganancia = 100, pero cómo sucede cada año, sería: 100 * n
Perdida = 10% de los miembros actuales, si al principio son 5000 por lo tanto A0 * 0.10, pero en este primer caso es que es A0, pero en general serían An-1
reemplazando:
An = A0 + 100 * n - (An-1) * 0.10
