Answer:
C = -4
Step-by-step explanation:
First, combine like terms (terms with the same amount of variables):
14 = -2C - 3C - 6
14 = (-2C - 3C) - 6
14 = (-5C) - 6
Isolate the variable, C. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and equals:
Parenthesis
Exponents & Roots
Multiplication
Division
Addition
Subtraction.
First, add 6 to both sides:
14 (+6) = -5C - 6 (+6)
14 + 6 = -5C
-5C = 20
Next, divide -5 from both sides:
(-5C)/-5 = (20)/-5
C = 20/-5
C = -4
-4 is your value for C.
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I use my calculator
Y1 (the blue one) = x^2-2x
Graph
2nd trace minimum
X= 1 and y = -1
So the vertex is (1,-1)
Answer:
13.64 seconds
Step-by-step explanation:
150 / 11 = 13.636
To make a box and whisker plot, first you write down all of the numbers from least to greatest.
0, 1, 3, 4, 7, 8, 10
The median is 4, so that’s the middle line of the plot.
So now we have:
0, 1, 3, [4,] 7, 8, 10
So next we have to find the 1st and 3rd interquartiles..
0, [1,] 3, [4,] 7, [8,] 10
Those are the next 2 points you put on the plot.
Lastly, the upper and lower extremes. These are the highest and lowest numbers in the data.
[0,] 1, 3, 4, 7, 8, [10]
These are the final points on the plot.
To make the box of a box-and-whisker plot, you plot the 3 Medians of the data: 1, 4, and 8, and connect those to make a box that has a line in the middle at 4.
Next, you plot the upper and lower extremes: 0 and 10, by making “whiskers” that connect to the box. So you draw a line from the extremes to the box.
Answer:
The solution of the system is the ordered pair (-13,-4)
Step-by-step explanation:
we have
-----> equation A
----> equation B
Solve the system by elimination
Multiply by 2 both sides equation B
----> equation C
Adds equation A and equation C
<em>Find the value of a</em>
substitute the value of b in any equation (i take equation B)
therefore
The solution of the system is the ordered pair (-13,-4)
