Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
= 
= a
y = (x - 3)² + 1 ← in vertex form
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the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form
Answer:
y=4
Step-by-step explanation:
4y+3=19
=4y=19-3
=y=16/4=4
Factors of 38
1, 2, 19, 38
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1×38
2×19
Factors of 59
1, 59
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Common factors for 38 and 59
1 is the only common factor
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GCF of 38 and 59
1 is the both the common and GCF of 38 and 59
There are numerous important information's already given in the question. Based on those information's the answer to the question can be easily determined.
Number of movies that are drama = 5
Number of comedy movies = 8
Number of adventure movies = 11
Total number of movies that Jazmin has = 5 + 8 + 11
= 24
Then
Ratio of adventure movies to the total number of movies = 11:24
This ratio of 11:24 cannot be simplified further. So this is the answer to the given question. I hope the procedure is clear enough for you to understand.
Answer:
n = 1500
Step-by-step explanation:
The sample size is the number of students that were asked
n = 1500
