6a-11=13
add 11 to both sides cross out -11 with +11
13+11 =24
6a=24
divide 6 on both sides
a= 4
Answer:
x(-8+y)-33+y(2+x)+1-x(8-y)+1
Step-by-step explanation:
this is a quadratic function g(x) passing through the points
Answer:
(-6, 6), (2, 6), (-6, -2), (2, -2)
Step-by-step explanation:
Unfortunately, you can't just multiply the coordinates of the corners by 4. That works if the center of the enlargement is the origin, (0, 0). So you have to do this enlargement in 3 steps for <u>each</u> of the corner points.
Step 1 Move the point right 2 units and down 2 units 
<em>.</em>
The reason for this step is that this is what you do to move the center (-2, 2) to (0, 0).
Step 2 Multiply the new coordinates by 4.
Step 3 Move the new point left 2 units and up 2 units 
.
Example: using the upper-left corner (-3, 3)...
Step 1 
Step 2 
Step 3 
Repeat the process with the other three corners.
Answer:
Exponential decay.
Step-by-step explanation:
You can use a graphing utility to check this pretty quickly, but you can also look at the equation and get the answer. Since the function has a variable in the exponent, it definitely won't be a linear equation. Quadratic equations are ones of the form ax^2 + bx + c, and your function doesn't look like that, so already you've ruled out two answers.
From the start, since we have a variable in the exponent, we can recognize that it's exponential. Figuring out growth or decay is a little more complicated. Having a negative sign out front can flip the graph; having a negative sign in the exponent flips the graph, too. In your case, you have no negatives; just 2(1/2)^x. What you need to note here, and you could use a few test points to check, is that as x gets bigger, (1/2) will get smaller and smaller. Think about it. When x = 0, 2(1/2)^0 simplifies to just 2. When x = 1, 2(1/2)^1 simplifies to 1. Already, we can tell that this graph is declining, but if you want to make sure, try a really big value for x, like 100. 2(1/2)^100 is a value very very very veeery close to 0. Therefore, you can tell that as the exponent gets larger, the value of the function goes down and gets closer and closer to zero. This means that it can't be exponential growth. In the case of exponential growth, as the exponent gets bigger, your output should increase, too.
Answer:
192
Step-by-step explanation:
Well if the first rectangle is 72 and 56, then we can find the area of that by multiplying length times width which would be 4032, so that would be the area of the second one. then we divide 4032 by 21, which is 192.
P.S, This is my first question answered, so if im wrong please let me know, thank you!
