<h3>
Answer: 29</h3>
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Explanation:
We replace every copy of x with -2. From there, use PEMDAS to simplify
y = 3x^2 + 17
y = 3(-2)^2 + 17
y = 3(4) + 17
y = 12 + 17
y = 29
Therefore, x = -2 pairs up with y = 29.
Put another way, the point (x,y) = (-2, 29) is on the function curve.
2x²- x -3 = 0 ⇒ 2x²-x= 0 + 3 ⇒ 2x² - x = 3 ⇒ 2x = 3 ⇒ x = 1.5
Answer:
Line R
Step-by-step explanation:
we know that
A<u><em> line of best fit</em></u> is a straight line that best represents the data on a scatter plot.
This line may pass through some of the points, none of the points, or all of the points.
From the given graph the line R passes through 2 points. The number of points above the line is equal to the number of points below the line.
therefore
Line R is the line of best fit
Answer:
(√2 - √6) / 4
C. square root of two minus square root of six divided by four.
Step-by-step explanation:
sine of negative eleven pi divided by twelve.
We have :
sin(-11π/12)
sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)
sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)
Recall:
Angle difference formula:
sin(A - B) = sinAcosB - sinBcosA
Hence,
sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)
From trigonometry:
sinπ/3 = √3/2
cos5π/4 = -√2/2
sin5π/4 = -√2/2
cos π/3 = 1/2
(√3/2) (-√2/2) − (-√2/2) (1/2)
-√6/4 - -√2/4
-√6/4 + √2/4
√2/4 - √6/4
(√2 - √6) / 4
