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Lelechka [254]
3 years ago
5

Interval does h have a negative average of change

Mathematics
1 answer:
NikAS [45]3 years ago
8 0

The average rate of change over some interval [a, b] is equal to the slope of the secant line from (a, h(a)) to (b, h(b)).

h(t) is a quadratic function, so its graph is a parabola, and in particular it's one that has a minimum of -4 when t = 2.

The secant line over an interval [a, b] will have a negative slope if the distance from a to 2 is larger than the distance from b to 2.

(A) If a = 4 and b = 5, then |a - 2| = 2 and |b - 2| = 3, so the slope and hence average rate of change is positive.

(B) If a = -1 and b = 5, then |a - 2| = 3 and |b - 2| = 3, so this ARoC is zero.

(C) If a = 0 and b = 4, then |a - 2| = 2 and |b - 2| = 2, so this ARoC is also zero.

(D) If a = -1 and b = 4, then |a - 2| = 3 and |b - 2| = 2, so this ARoC is negative.

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Evaluating algebraic expressions <br><br><br> B3 - 3a5
lutik1710 [3]

Answer:

3B-15a

Step-by-step explanation:

B3=3B

3a5=15a

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3B-15a

8 0
3 years ago
you have a large container of olive oil. You have used 22 1/2 quarts of oil. Twenty- five percent of the oil remain. How many qu
Alex Ar [27]
Answer:

7.5 quarts of olive oil remain.

Explanation:

Let

q = quarts of olive oil remain

<span>25%</span> of olive oil remains means that <span>75%</span> has been used.

22<span>12</span> quarts = 22.5 quarts used

<span><span>22.5.75</span>=<span>q.25</span></span>

Multiply both sides by .25 to isolate q.

<span><span>22.5.75</span><span>(.25)</span>=<span>q.25</span><span>(.25)</span></span>

<span><span>5.625.75</span>=q</span>

<span>7.5=<span>q</span></span>

3 0
3 years ago
Pre-cal help!! (See Attachment)
MAVERICK [17]
2cos(x) + 1 = 0

cos(x) = -\frac{1}{2}

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So, you take 180° - 60° = 120° to get the angle in the first quadrant, and 180° + 60° = 240° to get the angle in the third quadrant.

Since only 120° is an option, the answer is B.
7 0
3 years ago
How do you calculate rate of change?
sleet_krkn [62]
ANSWER:
Change in the Independent Variable / Change in the Dependent Variable

hope this helps!!
3 0
2 years ago
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Sindrei [870]
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