<span>Yes, square root of 27 can be simplified
</span>
</span>
PLEASE I NEED HELP IM ALREADY FAILING Antonio and Juan are in a 4-mile bike race. The graph below shows the distance of each rac
er (in miles) as a function of time (in minutes).
a) How far does each boy bike?
b) At what time where the two boys at the same location in the race?
c) Who wins the race? How do you know?
a) How far does each boy bike?
b) At what time where the two boys at the same location in the race?
c) Who wins the race? How do you know?
1 answer:
You might be interested in
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>