A quadratic equation is an equation whose leading coefficient is of the second degree. The given quadratic equation can be matched with its solution as shown below.
<h3>What is a quadratic equation?</h3>
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The given quadratic equation can be matched with its solution as shown below,
2x² − 32 = 0 → x = √(32/2) → x = {-4, 4}
4x² − 100 = 0 → x = √(100/4) → x = {-5,5}
x² − 55 = 9 → x = √(9+55) → x = {-8,8}
x² − 140 = -19 → x = √(-19+140) → x = {-11,11}
2x² − 18 = 0 → x = √(18/2) → x = {-3, 3}
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Find the equation of the line connecting (0, 5) and (-2, 0).
As we go from the first point to the second, x decreases by 2 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/(-2), or 5/2.
Starting with the general equation of a line in slope-intercept form, y = mx + b, substitute the knowns as appropriate to determine the value of b:
y= mx + b => 5 = (5/2)(0) + b. Then b = 5, and the desired equation is
y = (5/2)x + 5.
Check this! If we subst. the coordinates of (-2,0) into this equation, is the equation true?
0 = (5/2)(-2) + 5
Yes. So, y = (5/2)x + 5 is the desired equation.
Answer:
8 would be the answer if the exponet is at the end
Step-by-step explanation:
The length is 6 and width is 3 or vice versa
The point estimate of the proportion of students who prefer the new schedule is 0.22.
Definition of Point Estimate
Point estimation is a technique used in statistics to determine a single value that will serve as the "best guess" or "best estimate" of an unidentified population characteristic, known as the point estimate. More precisely, in order to produce a point estimate, we apply a point estimator to the data.
For the confidence interval (0.195, 0.245), point estimate is calculated as follows,
p = (0.195 + 0.245) / 2
p = 0.44 / 2
p = 0.22
Hence, the point estimate of the proportion of students who prefer the new schedule comes out to be 2.2.
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