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NARA [144]
3 years ago
9

Evaluate the exponential function when x=2 and y=-(1/3)^x

Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0
Plug in the given value of x in the equation
y=-(1/3)^2
  = -1/9      
(because 3^2=9 and 1^2=1)
You might be interested in
Write three different sentences that could describe the relationship between the quantities $27, $81
Olenka [21]
1) 27+x=81
2)27+81=108
3)81-x=27
8 0
3 years ago
3. Which statements about the line that passes through (-2, 0) and (2, -4) are true?
diamong [38]

Answer:

B, C, and D.

Step-by-step explanation:

Let's go through each answer choice.

A: To find the slope of a line from two points, we use this formula: (y_2-y_1)/(x_2-x_1). Plugging in the values (-2,0) and (2, -4), we get:

  • (-4-0)/(2+2)
  • -4/4
  • -1

Because option A says the slope is 1, but we got -1, option A is false.

B: To find the y-intercept, we use this formula: b = y_1 - m * x_1

  • b = 0 -(-1) * (-2)
  • b = 1 * (-2)
  • b = -2  

Since we know the value of b is the y-intercept, we could write the y-intercept as (0,-2). Therefore, option B is true.

C: The equation of a line (in slope-intercept form) is y = mx + b, where y - y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. Since we already solved for the y-intercept and slope, let's plug in those values:

  • y = mx +b
  • y = -x -2

As you can see, the equation we got here matches the one in option C, meaning it's true.

D: We know that a point is written like this: (x, y). If the x-coordinate is not zero but the y-coordinate is, then it's the x-intercept. Since the question says that (-2,0) is one of the points the line passes through, and option D says that the x-intercept is (-2,0), it's true.

8 0
3 years ago
Read 2 more answers
Help agaianannaannananana
lora16 [44]
For an inverse function, switch the x and the y.
If for function f(x), ordered pair (7, 2) is a solution,
then for the inverse of function f(x), (2, 7) is a solution.

Answer: C. (2, 7)
8 0
3 years ago
EMERGENCY HELP! A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons o
german

Answer:

y=9x+33

33 gallons of water to begin with.

Step-by-step explanation:

So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.

The slope is:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{222-87}{21-6}=135/15=9

So, the rate at which the stream flows is 9 gallons per minute.

Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

y-y_1=m(x-x_1)\\y-87=9(x-6)\\y-87=19-54\\y=9x+33

So, there were 33 gallons of water in the tank to begin with.

3 0
3 years ago
Systems of equations with different slopes and different y-intercepts have one solution.
eduard
A. Always because imagine a line where one is y=x and the other is y=-x+1. The point of intersection would be (1,1)

4 0
3 years ago
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