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never [62]
3 years ago
12

Match each graph with its corresponding equation

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0
The equation of the parabolas given will be found as follows:
a] general form of the parabolas is:
y=k(ax^2+bx+c)
taking to points form the first graph say (2,-2) (3,2), thus
y=k(x-2)(x-3)
y=k(x^2-5x+6)

taking another point (-1,5) 
5=k((-1)^2-5(-1)+6)
5=k(1+5+6)
5=12k
k=5/12
thus the equation will be:
y=5/12(x^2-5x+6)

b] Using the vertex form of the quadratic equations:
y=a(x-h)^2+k
where (h,k) is the vertex
from the graph, the vertex is hence: (-2,1)
thus the equation will be:
y=a(x+2)^2+1
taking the point say (0,3) and solving for a
3=a(0+2)^2+1
3=4a+1
a=1/2
hence the equation will be:
y=1/2(x+2)^2+1


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Answer:

Study 1 Answers:

1) 0.76 represents the multiplier of the bacteria, in this case it is decreasing by 24% because the formula for exponential decay is 1 - r.

2) 1290 represents the initial value, or before the study began.

Study 2 Answers:

1) 1180 is the initial value, or before the study began.

2) Study 1 started with more bacteria

3) Study 1 is experiencing exponential decay, while study 2 is experiencing exponential growth

Step-by-step explanation:

Exponential functions are in the form y=a(b)^x, where a is the initial value, b is the multiplier, and x represents inputs, such as hours after a bacteria study.

Any multiplier above 1.00 is experiencing exponential growth, meaning it grows gradually over time, and any multiplier below 1.00 is experiencing exponential decay, meaning it decreases in population over time.

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2 years ago
Please help me! Thanks.
Vedmedyk [2.9K]

Answer:

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5 0
3 years ago
Read 2 more answers
I will fan and medal if you help!
Annette [7]
Part A: The answer is B.
As vertically opposite angles are equal
x+10=4x-35
10=3x-35
45=3x
x=15

Part B: The answer is D.
We'll substitute in the value of X in one equation.
x+10
=15+10
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As the two angles are equal bot must be 25 degrees.
8 0
2 years ago
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Step-by-step explanation:

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