Solutions
<span>A right handed parabola: </span>
<span><span>
</span></span>A left handed parabola:
<span>
</span>An up facing parabola:
<span>
</span>A down facing parabola:
Answer:
x=-1
y=-1
Step-by-step explanation:
-6x + 5y =1 ......equation (1)
6x + 4y = –10 ......equation (2)
adding equation (1) to equation (2)
9y=-9
9y/9 =-9/9 (dividing both side by the coefficient of y)
y=-1
subtituting the value of y =-1 into equation (2)
6x+4(-1)=-10
6x+(-4)=-10
6x-4=-10
6x=-10+4(making constant to be at one side and the variable at the other side)
6x=-6
x=-6/6
x=-1
Answer:
Option 1.1
Step-by-step explanation:
The linearization of a curve implies the use of calculus to find the local value for the derivative and approximating the function by the use of the formula
The function is given in such way that it's much easier to find the derivative by implicit differentiation than isolating any of the variables
Differentiating with respect to x, we have
Computing y' in the given point (3,1) we have
4(3)(1)+2(9)y'+y'=2
The function will be approximated with the expression
To find the approximate value for x=2.8
The correct value is the option 1.1
The correct answer is: " 784 in² " .
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{or; write as: " 784 sq. inches " .}.
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When the side is doubled (in this case, 4 is doubled; 4 * 2 = 8} ; the area is increased by 2² times; that is, by 4 times; so, the area is:
(196 sq. in) * 4 = 784 sq inches .
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Answer:
30.5 ; 49 ; 27 ; 50 ; 45
Step-by-step explanation:
Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Given the ordered data :
13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82
Sample size, n = 30
The first quartile ;Q1
Q1 = 1/4(n+1)th term
Q1 = 31/4 = 7.75th term
Q1 = (29+32)/2
Q1 = 30.5
Q3 ;
Q3 = 3/4(n+1)th term
Q3 = 3(31)/4 = 23.25 th term
Q3 = (48 + 50) /2 = 49
2nd decile :
0.2 * (nth term
0.2 * 30 = 6th term = 27
8th decile :
0.8 * 30 = 24 th term
= 50
67th percentile :
0.67 * (n+1)th term
0.67 * 31 = 20.77
= (44 + 46) / 2
= 45
