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Aloiza [94]
3 years ago
11

Find all maxima and minima of the function given below. Use a horizontal span of -6 to 6. (Round your answers to two decimal pla

ces.)
f(x) =
4x
4 + x2
Mathematics
1 answer:
AVprozaik [17]3 years ago
6 0
Equation: 4 + 4x + x²

Maxima: No maximum value from said equation
Minima: x = -2 since that is the only critical point in the equation
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A cinema has 100 seats if 90 people are inside what percentage of seats are taken
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Answer:

90%

Step-by-step explanation:

Since 90/100 seats are taken then we can say;

90/100=9/10=.90*100=90%

6 0
3 years ago
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What is the equation of a line perpendicular to y= 3x +6 that crosses the ordered pair (3,2).
jasenka [17]

Answer:

y=-\frac{1}{3}x+3

Step-by-step explanation:

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2 years ago
Find the equation of the line through (6,4) and (-3,-8)
alexdok [17]

Answer:

y = 4/3x - 4

Step-by-step explanation:

to find the equation of a line with 2 points, we use the slope formula which is:

\frac{y_2-y_1}{x_2-x_1}

we will use (6,4) as x_1[tex] and [tex]y_1 and we will use (-3,-8) as x_2[tex] and [tex]y_2. we plug this into the slope formula:

\frac{-8-4}{-3-6}

-8 - 4 = -12

-3 - 6 = -9

the slope is \frac{-12}{-9}

but we can simplify this further by dividing the fraction by -3

-12 / -3 = 4

-9 / -3 = 3

the simplified version of the slope is \frac{4}{3}

we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope

y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)

4 = 4/3(6) + b < multiply 4/3 x 6

4 = 8 + b < subtract 8 from both sides

-4 = b

our y intercept would be (0,-4)

the equation looks like the following:

y = 4/3x - 4, which is our answer

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Step-by-step explanation:

8 0
2 years ago
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If a and b represent numbers, which of the following statements represents the commutative property of multiplication?
Gemiola [76]

The commutative property of multiplication states that the numbers can be multiplied in any order.

a+b = b+a : Commutative property of addition

a*b = b*a : Commutative property of multiplication

a+0=a : Additive identity property  

a*1 =a : Multiplicative identity property  

Answer : a*b =b*a


7 0
2 years ago
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