Thirty-two and fifteen hundredths
Answer:
x = 200
Step-by-step explanation:
Plug in 15 as y into the equation and solve for x:
1/5x - 2/3y = 30
1/5x - 2/3(15) = 30
1/5x - 10 = 30
1/5x = 40
x = 200
So, when y = 15, x = 200
Answer:
256
Step-by-step explanation:
The intial value should be where it started which in this case would be when
t = 0
So if you make t = 0
h(0) = 16(0)^2+96(0)+256
h(0)= 256
You can always make up numbers and try to draw it.
Let's say a = 1 for sake of simplicity.
If y=0 then x=0
<span>If y=1 then x=1
</span><span>If y=-1 then x=1
</span><span>If y=2 then x=4
</span><span>If y=-2 then x=4
</span>
As you can see, parabola opens to the right. Try drawing it to make sure you believe that.
Keep in mind, parabola only opens to the right if you are using the conventional x-y plane, where x-axis is horizontal and y-axis is vertical.
The recursive formula is 
= 14; 
= 
+ 3
The explicit formula is 
Step-by-step explanation:
The recursive formula of the nth term of the arithmetic sequence is
= first term; = + d, where
- is the first term in the sequence
- is the nth term in the sequence
- is the term before the nth term
- n is the term number
- d is the common difference.
The explicit formula of the nth term of the arithmetic sequence is
, where
- is the nth term in the sequence
- a is the first term
- n is the term number
- d is the common difference
∵ The arithmetic sequence is 14, 17, 20, 23, 26
∴ The first term is 14
∵ 17 - 14 = 3
∴ The common difference is 3
∵ The recursive formula is = first term; = + d
∵ = 14
∵ d = 3
∴ = 14; = + 3
The recursive formula is = 14; = + 3
∵ The explicit formula is
∵ a = 14
∵ d = 3
∴ 
- Simplify the right hand side
∴ 
- Add like terms
∴
The explicit formula is
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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