To graph equations like y = -x -12
Since this is in slope intercept form we are automatically given the y-intercept which in this case is -12 so (0,-12)
the coefficient in front of the x is the slope, in this case it is -x so that means -1/1 or -1
To graph this you would plot a point at the y-intercept, then down one over one (negative slope means down instead of up) then to the right, however long to create a line
Hope this helps :)<span />
Those lines on the sides of x in the equation mean "absolute value". Which is a complicated way of saying "this number will never be negative". So if x = 2 then absolute value x= 2 but if x = -2 then absolute value x still is positive 2. Because of those brackets/lines (whatever they're called). So if you're given x=2 then it's simply saying y=4(2)-1 which is y=7
Answer:
-8x + 6
Step-by-step explanation:
Subtract "5x-2" from "-3x + 4". Set the equation.
(-3x + 4) - (5x - 2) = Answer (A)
First, distribute -1 to all terms within the second parenthesis.
-3x + 4 - 5x + 2 = A
A = -5x - 3x + 4 + 2
Simplify. Combine like terms (terms with the same amount of variables).
A = (-5x - 3x) + (4 + 2)
A = -8x + 6
-8x + 6 is your answer, or the first answer choice.
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Answer:
0.6247
Step-by-step explanation:
In order to find the frequency of people who complete the test between 45 and 65 minutes, we have to find z
Z = (x – mean)/standard deviation
Le x be the time to complete the test
Z1 = (45 – 60)/10 = -1.5
Z2 = (65 – 60)/10 = 0.5
Then we use the z table to find the area under the curve.
Area for Z1 = 0.4332
Area for Z2 = 0.1915
The relative frequency is the area between the two z-scores:
0.4332 +0.1915 = 0.6247
Graphic with shaded area is attached
Answer:
Student has made an error
Step-by-step explanation:
If two figures are said to be congruent, this implies that area of both is same and both as exactly same or copy or each other.
But from the graph, it can be stated that height of figure JKLM is 4 units whereas that of other is 6 unit.
<em>Hence explained !</em>