Answer:
It is not
Step-by-step explanation:
It is not because this is an exponential function
y=x^2
1^2=1
2^2=4
3^2=9
4^2=16
Answer:
The length is 42 inches and the width is 14 inches
Step-by-step explanation:
You know the width is 1/3 of the length, and the length is basically the longer side of a rectangle. The width is y-4, so multiply using distributive property to get 3y-12.
You now know that the 2y+6 is equal to 3y-12, so you add 12 to both sides using additive property of addition to get 2y+18=3y.
Then you subtract 2y from both sides to get the unit value of y.
Y is equal to 18.
Then you can plug 18 into the y's to get
2(18)+6 which is 36+6 = 42
18-4 = 14
There you go.
The length is the longer side which is 42 inches and the width is 14 inches
Hope this helps!
Answer:
Remember the key word”factor” which means to multiply. Multiple all those numbers by 3!
Step-by-step explanation:I’m going to do 2 of them and you can do the last one (2,1)x3= the dilation (6,3). (3,0)x 3 gives the dilation (9,0). (1,-2)x3 gives the dilation of (3,-6). See it’s very easy.
Answer:
∠43=1/2(62+x)
43×2=62+x
86-62=x
24=x
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<u>hope it helps...</u>
<u>have a great day!!</u>
<h3>
Answer: B) 1.0 year</h3>
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Explanation:
We have these two functions
- f(t) = 12(1.02)^(4t)
- g(t) = 12(1.09)t
which represent the amounts for his friend and William in that order. Strangely your teacher mentions William first, but then swaps the order when listing the exponential function as the first. This might be slightly confusing.
The table of values is shown below. We have t represent the number of years and t starts at 0.5. It increments by 0.1
The f(t) and g(t) columns represent the outputs for those mentioned values of t. For example, if t = 0.5 years (aka 6 months) then f(t) = 12.48 and that indicates his friend has 12,480 dollars in the account.
I've added a fourth column labeled |f - g| which represents the absolute value of the difference of the f and g columns. If f = g, then f-g = 0. The goal is to see if we get 0 in this column or try to get as close as possible. This occurs when we get 0.09 when t = 1.0
So we don't exactly get f(t) and g(t) perfectly equal, but they get very close when t = 1.0
It turns out that the more accurate solution is roughly t = 0.9925 which is close enough. I used a graphing calculator to find this approximate solution.
It takes about a year for the two accounts to have the same approximate amount of money.