Answer:
a. 6, b. 99, c. 63
Step-by-step explanation:
A) The function s(t) is in the vertex form. The standard vertex form is a(x-h)+k where the vertex is (h,k). The vertex is the highest (or lowest in some cases) point of the graph, so if we use s(t) to get the vertex we get that h=6 and k=99. This means that for a student to get a perfect score they need to study 6 hours
B) We can just take the k value from the first question because that's the highest value for s(t), so the highest score will be 99
C) For this one just plug in 0 for time, so -(0-6)^2+99. This equals -(-6)^2+99, which equals 99-36 =63
1. The square on the inside is 8 x 8 = 64
2. The triangle's area is 8x9x1/2= 72 x 1/2 = 36
3. there are 4 triangles so 36 x 4 = (or 72 x 2 ) = 144 :)
Answer:
1856
Step-by-step explanation:
Each carton contains 32bottles
58 cartons were sold
Meaning 58 cartons contains;
58x32=1856 bottles
Starting from a parent function 
, if you add a constant to the whole function, i.e. you perform the transformation
you shift the graph of the parent function by 
units, upwards if is positive, downwards otherwise.
In this case, so, you're shifting, the graph of 
5 units upwards. Since the parent function passes through the point 
, because 
, the shifted graph mantains the same 
coordinate, but the 
coordinate is increased by 5, because of the 5 units upwards shift.
Hi! ⋇
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All proportions have <u>this</u> <u>form</u>:
, Where 
is equal to 
.
If 
, it's <u>not</u> a proportion.
_________________________
Here we have two pairs of numbers:
40,10 and 32,8.
Written As a <u>proportion</u>, they <em>look like</em> :
Hope this made sense to you :)
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