What is 59.83 million in standard notation?
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Which statement about the equation is true? 3 (4x – 2) = 12x
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Suppose a railroad rail is 3 kilometers and it expands on a hot day by 15 centimeters in length. Approximately how many meters would the center of the rail rise above the ground?
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Rachel :
How long Rachel worked:
The answer is C.
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A. y=-2x^2-8x
B. y=2(x+6)(x-2)
C. y=x^2-8x+16
D. y=2(x+4)^2-2
Use the equations to complete the following statements.
Equation (A,B,C, or D) reveals its extreme value without needing to be altered. The extreme value of this equation has a (minimum or maximum) at the point (-4,-3,0 or 2 , -32,-8,8, or -2 ).
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From each of the given equations, the option which gives a squared expression for the variable with x ; hence does not need any further mathematical calculation in other to determine it's extremes is the expression y = 2(x+4)² - 2 ; option (D) with minimum at the points (-4, - 2)
The extreme vlaue of an expression has a minimum at ;
Obtain the value of x when (x + 4) = 0:
- x + 4 = 0
x = - 4
Substitute -4into the equation :
y = 2(-4 + 4)² - 2
2(0) - 2 = - 2
Therefore, the equation has its extremesat (-4,-2)
Learn more : brainly.com/question/2203574
Answer:
Step-by-step explanation:
A y < 2x + 2
B. y > 2x + 2
C.y < 2x + 2
D. y Z 2x + 2
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Answer:
D
Step-by-step explanation:
If we look at the right side of the equation we see that the y-intercept is 2, so we will place a point on (0,2).
Next, we look to see if the slope of the graph if positive or negetive, and to see what is the slope (2x).
Finally, we look at the inequality if it is greater than (>), less than (<), greater than or equal to (_>), or less than or equal to (<_).
*Note the following:
if < then the line is dotted and the shading will be under the line.
if > then the line is dotted and the shading will be above the line.
if <_ then the line is solid and the shading will be under the line.
if _> then the line is solid and the shading will be above the line.*
It is a lot of information if you look at it, but with practice it can be made easier.
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12/7 = 20/x
12x = 140
x = 140/12 = 35/3 = 11.67
so radius of the large cone = 11.67 ft
Volume = 1/3 πr^2h
= 1/3(3.14)(11.67)^2(20)
= 2850.88
Answer is B. 2850.70 ft^3