12/3 is 4 and .31/2 is -15.5
Tom started with total 72 chocolate wafers.
<u><em>Explanation</em></u>
The number of chocolate wafers taken by 8 members of the baseball team are in the sequence : 
The above sequence is <u>arithmetic sequence</u> with first term(a₁)= 1 and common difference (d) = 2
<u>Formula for Sum</u> of first
terms in arithmetic sequence is....
![S_{n}= \frac{n}{2}[2a_{1}+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2a_%7B1%7D%2B%28n-1%29d%5D)
So, the Sum of 8 terms in that sequence....
![S_{8}= \frac{8}{2}[2(1)+(8-1)(2)]\\ \\ S_{8}= 4[2+7(2)]\\ \\ S_{8}=4(2+14)\\ \\ S_{8}=4(16)=64](https://tex.z-dn.net/?f=S_%7B8%7D%3D%20%5Cfrac%7B8%7D%7B2%7D%5B2%281%29%2B%288-1%29%282%29%5D%5C%5C%20%5C%5C%20S_%7B8%7D%3D%204%5B2%2B7%282%29%5D%5C%5C%20%5C%5C%20S_%7B8%7D%3D4%282%2B14%29%5C%5C%20%5C%5C%20S_%7B8%7D%3D4%2816%29%3D64)
That means, the total number of chocolate wafers taken by the baseball team members is 64. Tom ate 5 and then gave his brother 3 chocolate wafers at first.
So, the total number of chocolate wafers at starting 
<h3>3
Answers:</h3>
A) y intercept is (0,3)
C) Axis of symmetry is x = -1
D) Vertex is (-1, 4)
So basically everything but choice B is true.
========================================
Explanation:
Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.
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To check choices B through D, let's convert the equation into vertex form.
y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where
a = -1
b = -2
c = 3
The vertex is located at (h,k) such that h = -b/(2a)
Plug the values of 'a' and 'b' into the equation below
h = -b/(2a)
h = -(-2)/(2*(-1))
h = 2/(-2)
h = -1
The x coordinate of the vertex is x = -1
Then use this to find the y coordinate of the vertex
y = -1x^2 - 2x + 3
y = -1(-1)^2 - 2(-1) + 3
y = 4
The y coordinate of the vertex is 4, meaning k = 4
The vertex overall is (h,k) = (-1, 4)
This shows choice D is true, meaning choice B has to be false.
Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.
Answer:
Each person would pay $25.80.
Sorry if I am wrong
Step-by-step explanation:
Answer:
look at step by step
Step-by-step explanation:
A. the initial value of Jacob's hourly rate is the $8.
B. Hourly rate is multiplied by .05 (.05=5%) each year.
C. it would be $8*.05 and his earning per hour in a year would be $8.40