The leading coefficient is in the term with the highest degree.
So its -5.
Answer:
The probability is 1/30 or 0.0333
Step-by-step explanation:
For calculating the probability we need to make a division between the number of ways in which the first boy born is named Sam and the second boy born is named Mark and the total number of ways in which the couple can name their children.
To calculate the total number of ways in which the couple can name their children, we can use the rule of multiplication as:
<u> 6 </u> * <u> 5 </u> = 30
First boy Born 2nd Boy Born
Because we have 6 options for the name of the first boy and 5 options for the name of the second boy.
Additionally, In just one option from this 30, the first boy is named Sam and the second is named Mark.
So, the probability is calculate as the division between 1 and 30 as:
I'm assuming you meant to say "graph" instead of "table".
The function rule is y = x+2 because the y intercept is 2, where the graph crosses the y axis. The slope is 1 meaning we move 1 unit up and 1 unit to the right each time. You can use the slope formula to determine the slope, or simply make this observation of rise vs run.
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Because this line doesn't go through the origin, and because it's not in the form y = k*x, this means we do not have a direct variation equation.
We do not have an inverse variation equation either because it is not in the form y = k/x or x*y = k. A visual indication of this is that the graph isn't a curved hyperbola.
Therefore, this function is <u>neither </u>direct variation nor inverse variation
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Plug in y = 10 and solve for x
y = x+2
x+2 = y
x+2 = 10
x+2-2 = 10-2
x = 8
The value of x is 8
So if x = 8, then y = 10 meaning that (x,y) = (8,10) is on this blue diagonal line.
Answer:
8
Step-by-step explanation:
Using the identity
cosec²A = 1 + cot²A
- 8cot²A + 8cosec²A
= - 8cot²A + 8(1 + cot²A)
= - 8cot²A + 8 + 8cot²A
= 8
