Answer:
<h2>65</h2>Step-by-step explanation:
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
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Answer:
-675
Step-by-step explanation:
The sum can be broken into parts that you know. Here, one of those parts is the sum of numbers 1 to n. That sum is given by n(n+1)/2.
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Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.
The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.
The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...
75(-9) = -675
Look at the picture.
The common part does not exist.
Answer:
see attachment for graph
Step-by-step explanation:
< or > : dashed line
≤ or ≥ : solid line
< or ≤ : shade below the line
> or ≥ : shade above the line
<u>To graph the line y < 3x-2</u>
Rewrite the equation as: y = 3x - 2
Find two points on the line:
when x = 0, y = 3(0) - 2 = -2 → (0, -2)
when x = 3, y = 3(3) - 2 = 7 → (3, 7)
Plots the found points (0, -2) and (3, 7).
Draw a straight, dashed line through the points.
<u>To graph the line y ≥ -x + 3</u>
Rewrite the equation as: y = -x + 3
Find two points on the line:
when x = 0, y = -(0) + 3 = 3 → (0, 3)
when x = 3, y = -(3) + 3 = 0 → (3, 0)
Plots the found points (0, 3) and (3, 0).
Draw a straight, solid line through the points.
Shade above the solid line and below the dashed line to the right of where the two lines intersect. <u>The shaded area is the area of all possible solutions</u>.
