a flower garden is 4 feet longer than its width. write a polynominal that represents the area of the garden
1 answer:
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5)
The x-values go up by 1: -2, -1, 0, 1, 2
The y values are always 3 times the previous value.
This is an exponential function.
We need to find a and b.
Look at x = 0.
For x = 0, y = 4.
Since b^0 = 1, this simplifies to
Now we know a = 4. We have
Look at x = 1. For x = 1, y = 12.
Now that we know a and b, we can write the function.
Now that you have the function written out, notice the following.
In the exponential equation we found, the number raised to x
is the number you multiply each y value to get the next y value.
In this case, each y value is 3 times the previous one, so you have 3^x.
The way you find "a" in the exponential equation is to look at the y-coordinate
when x = 0. When x = 0, b^x is 1, so b^x drops out, and you get "a" equal to
the y-value. In this case, when x = 0, y = 4, so "a" is 4.
With b = 3, and a = 4, you can quickly write:
y = 4(3)^x.
The x-values go up by 1: -2, -1, 0, 1, 2
The y values are always 3 times the previous value.
This is an exponential function.
We need to find a and b.
Look at x = 0.
For x = 0, y = 4.
Since b^0 = 1, this simplifies to
Now we know a = 4. We have
Look at x = 1. For x = 1, y = 12.
Now that we know a and b, we can write the function.
Now that you have the function written out, notice the following.
In the exponential equation we found, the number raised to x
is the number you multiply each y value to get the next y value.
In this case, each y value is 3 times the previous one, so you have 3^x.
The way you find "a" in the exponential equation is to look at the y-coordinate
when x = 0. When x = 0, b^x is 1, so b^x drops out, and you get "a" equal to
the y-value. In this case, when x = 0, y = 4, so "a" is 4.
With b = 3, and a = 4, you can quickly write:
y = 4(3)^x.
Answer:
Option A, C and D are correct choices.
Step-by-step explanation:
Let x be the number of rides that Tomas has been on so far. Each ride costs 5 tickets. This means that cost of x rides will be 5x.
We are told that Tomas bought 80 tickets for rides at an amusement park.
To find the number of of tickets that Tomas has left we will subtract cost of x rides from total number of tickets that Thomas bought.
We can represent this information in an expression as:
Now let us see which of our given choices in equivalent to our expression.
A.
Upon looking at option A we can see that it is same as our expression, therefore, option A is the correct choice.
B.
We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option B is not a correct choice.
C.
Upon distributing 5 we will get,
Now this expression is same same as our expression, therefore, option C is the correct choice.
D.
This expression is also same as our expression as we can rearrange the terms in this expression as: , therefore, option D is a correct choice as well.
E.
Upon distributing 5 we will get,
We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option E is not a correct choice.