Answer:-2
Step-by-step explanation:
(n + 3) 5 = 3 x 1 - n
distribute so 5n + 15= 3 - n
subtract three from both sides
5n - 12 = -n
subtract 5n from both sides
12 = −6n
Divide both sides by -6
n=-2
Answer:
y = 3x + 5
Step-by-step explanation:
Okay, so first we do the equation for rise over run which is y2 - y1/ x2 - x1
so plug the numbers 11 - 17/ 4 - 2 getting the slope -3, now since we found the slope we need to find the intercept form, what you have to do now is plug in a coordinate from the x value and y value one of the pairs essentially so,
y = 3x + b, I chose your first pair
11 = 3 x 2 + b
equals to,
11 = 6 + b
now we want b, by itself.
5 = b
so the total intercept form answer is
y = 3x + 5
I will check over it,
11 = 3 x 2 + 5
11 = 11
I hope this helped!
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.
$120 because the fencing of the patio would use up eight squares and each square in the picture is 3 meters so we would need 24 meters of fencing to cover up the entire patio. Since it cost $5 for one meter, 5*24 is $120.
