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Answer:
Luis:
Marina:
Answer: Marina got the better percent score than Luis
Marina:
Answer:
no triangle can be formed with the given values (i.e 0 triangle).
Step-by-step explanation:
Given;
length of side a, = 10
length of side b, = 40
angle A, = 30°
Apply sine rule to determine the angle of the second side (B);
The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.
Let x refers to the Month numbers
And y refers to Number of births
There is 5 steps to find the quadratic function that models the data.
First step ⇒ <span>Plot <span>the data pairs (<span>x<span>, <span>y<span>) in a coordinate plane.
which are the blue circles in the attached figure
Second step ⇒ </span></span></span></span></span></span><span>Draw <span>the parabola you think best fits the data.
Which is the red function in the attached figure.
</span></span><span><span>Third step ⇒</span> Estimate <span>the coordinates of three points on the
<span> parabola, which are (2, 108), (4, 68), and (6, 75).</span>
</span></span><span><span>which are the black squares in the attached figure</span>
Fourth step ⇒ </span><span>Substitute <span>the coordinates of the points into the<span> model <span>
y <span>= <span>ax<span>2 <span>+ <span>bx <span>+ <span>c
<span> to obtain a system of three linear equations.</span>
4a + 2 b + c = 108 ---------(1)
</span></span></span></span></span></span></span></span></span></span></span><span><span>16a + 4 b + c = 68 ---------(2)</span>
36a + 6 b + c = 75 ---------(3)
Fifth step ⇒ </span><span>Solve <span>the linear system.
By using the calculator
a = 5.875 , b = -55.25 , c = 195
So, the</span></span><span> quadratic model for the data is ⇒ y = 5.875 x²- 55.25 x + 195
============================================
T</span><span>o predict the number of births for month 8
substitute with x = 8 ⇒ y = </span><span>5.875 * 8²- 55.25 * 8 + 195 = 129</span>
And y refers to Number of births
There is 5 steps to find the quadratic function that models the data.
First step ⇒ <span>Plot <span>the data pairs (<span>x<span>, <span>y<span>) in a coordinate plane.
which are the blue circles in the attached figure
Second step ⇒ </span></span></span></span></span></span><span>Draw <span>the parabola you think best fits the data.
Which is the red function in the attached figure.
</span></span><span><span>Third step ⇒</span> Estimate <span>the coordinates of three points on the
<span> parabola, which are (2, 108), (4, 68), and (6, 75).</span>
</span></span><span><span>which are the black squares in the attached figure</span>
Fourth step ⇒ </span><span>Substitute <span>the coordinates of the points into the<span> model <span>
y <span>= <span>ax<span>2 <span>+ <span>bx <span>+ <span>c
<span> to obtain a system of three linear equations.</span>
4a + 2 b + c = 108 ---------(1)
</span></span></span></span></span></span></span></span></span></span></span><span><span>16a + 4 b + c = 68 ---------(2)</span>
36a + 6 b + c = 75 ---------(3)
Fifth step ⇒ </span><span>Solve <span>the linear system.
By using the calculator
a = 5.875 , b = -55.25 , c = 195
So, the</span></span><span> quadratic model for the data is ⇒ y = 5.875 x²- 55.25 x + 195
============================================
T</span><span>o predict the number of births for month 8
substitute with x = 8 ⇒ y = </span><span>5.875 * 8²- 55.25 * 8 + 195 = 129</span>