The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, <em>g</em> (2)) and (8, <em>g</em> (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, <em>g</em> (8) = -0.5(8) + 8 = 4
• 2 < 4, so <em>g</em> (2) = 5(2) + 1 = 11
Then the average rate of change is
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
Answer:
The answer to the first question is B.) The student should have subtracted the 4 first, instead of adding, because it is positive originally. And the answer to the second one is D.) Distribute the -2.
Step-by-step explanation:
Hope this helps! :)
The answer would
be 13/10
basically you treat y like a number and not a variable
Answer:
a is 4
b is 2y
c is -10y²+9
discriminant is 4(41y²-36)
Step-by-step explanation:
4x²+2xy-10y²+9=0
rewrite in standard form of a quadratic equation like ax² + bx + c = 0
4x²+2yx-10y²+9=0
basically you treat y like a number and not a variable
a is the number with the x²
right away we know a is 4 because of 4x²
b is the one with x so in this formula b is 2y
c is the number without the x which in this case is -10y²+9
discriminant is
b² - 4ac
(2y)²- (4)(4)(-10y²+9)
4y²-(16)(-10y²+9)
4y²-(16)(-10y²+9)
4y²+160y²-144
164y²-144 =
4(41y²-36)
Answer:
Lines m and n cannot be parallel
Step-by-step explanation:
1. Because angles 2 and 3 are Same Side Interior Angles, they must be supplementary.
2. To check this you add the angles together (127 + 63) and it sums to 190 degrees, not 180
3. Since they don't agree with the laws of parallel lines, the lines that the angles are on can't be parallel
4. Angles 2 and 3 reside on lines m and n so lines m and n cannot be parallel