Answer:
y = {1,2}
Step-by-step explanation:
5y^2 - 4y - 9 = y + 1
5y^2 - 5y - 10 = 0
5(y^2 - y - 2) = 0
5 (y - 2) (y - 1) = 0
y = {1,2}
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The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
<h3>How to determine the functions?</h3>
A quadratic function is represented as:
y = a(x - h)^2 + k
<u>Question #6</u>
The vertex of the graph is
(h, k) = (-1, 2)
So, we have:
y = a(x + 1)^2 + 2
The graph pass through the f(0) = -2
So, we have:
-2 = a(0 + 1)^2 + 2
Evaluate the like terms
a = -4
Substitute a = -4 in y = a(x + 1)^2 + 2
y = -4(x + 1)^2 + 2
<u>Question #7</u>
The vertex of the graph is
(h, k) = (2, 1)
So, we have:
y = a(x - 2)^2 + 1
The graph pass through (1, 3)
So, we have:
3 = a(1 - 2)^2 + 1
Evaluate the like terms
a = 2
Substitute a = 2 in y = a(x - 2)^2 + 1
y = 2(x - 2)^2 + 1
<u>Question #8</u>
The vertex of the graph is
(h, k) = (1, -2)
So, we have:
y = a(x - 1)^2 - 2
The graph pass through (0, -3)
So, we have:
-3 = a(0 - 1)^2 - 2
Evaluate the like terms
a = -1
Substitute a = -1 in y = a(x - 1)^2 - 2
y = -(x - 1)^2 - 2
Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
Read more about parabola at:
brainly.com/question/1480401
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Answer:
The question has a missing part and here it the complete question:
Imagine each letter of the word “Mathematical” is written on individual pieces of paper and placed in a bag. Should you pick a random letter from that bag, what is the probability that you pick a vowel?
Answer: 5/12
Step-by-step explanation:
The question asks for the probability of picking a vowel.
From the word 'Mathematical', we have a total of 12 letters and a total of 5 vowels (a,e,a,i,a).
Probability of picking a vowel = Total number of times the event(vowel) occurs/total number of possible outcomes(total letters)
Answer: Mason made $185.00
Step-by-step explanation:
For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3. (Just ignore the "suits part ._.)
250*.05=12.50
250*.08=20
12.50*10=125
3*20=60
125+60=185.
