If a researcher wanted to describe the relationship between women's age and frequency of performing breast self-examination, the
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<h3>Answer: 28</h3>
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Explanation:
Let x be the unknown angle we want to find. This angle is in degrees.
The diagram shows 19 is the opposite of this angle, and the side 35 is adjacent to the angle.
We use the tangent ratio to tie the two sides together
Note: The notation refers to the inverse tangent, or arctangent.
Answer:
The quadratic function that passes through given points is y = 2 x² - x + 3 .
Step-by-step explanation:
The given quadratic function as
y = a x² + b x + c
The equation passes through the points ( - 1 , 6 ) , ( 1 , 4 ) and ( 2, 9 )
As The points passes through equation then
At points ( - 1 , 6 )
6 = a (1)² + b ×( - 1 ) + c
Or, a - b + c = 6 .....A
Again At points ( 1 , 4 )
4 = a (1)² + b × 1 + c
Or, a + b + c = 4 .......B
<u>Similarly At points ( 2 , 9 )</u>
9 = a (2)² + b × 2 + c
Or, 4 a +2 b + c = 9 ....,,,C
<u>Now solving equation A and B</u>
( a - b + c ) + ( a + b + c ) = 6 + 4
Or, a + c =
I.e a + c = 5 ......D
<u>Similarly Solving equation B and C</u>
( 4 a +2 b + c ) - 2 × ( a + b + c ) = 9 - 2 × 4
Or, ( 4 a - 2 a + 2 b - 2 b + c - 2 c ) = 9 - 8
Or, ( 2 a - c ) = 1 .....E
<u>Solving D and E</u>
( a + c ) + ( 2 a - c ) = 5 + 1
Or, 3 a = 6
∴ a =
I.e a = 2
<u>Put the value of a in Eq D</u>
So , a + c = 5
Or, c = 5 - a
∴ c = 5 - 2 = 3
I.e c = 3
<u>Put The value of a and c in Eq A</u>
a - b + c = 6
Or, b = a + c - 6
Or . b = 2 + 3 - 6
∴ , b = 5 - 6
I.e b = - 1
Now, <u>Putting the values of a , b , c in the given quadratic equation</u>
I.e y = a x² + b x + c
Or, y = 2 x² + ( - 1 ) x + 3
∴ The quadratic eq is y = 2 x² - x + 3
Hence The quadratic function that passes through given points is y = 2 x² - x + 3 . Answer