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Colt1911 [192]
3 years ago
14

Β

{x} \, dx " alt=" \int\limits^a_b {x} \, dx " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0
Hint:-   integral of x is x^2 / 2
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F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over
mel-nik [20]

Answer:

A(x) = 243

Step-by-step explanation:

Given

f(x) = x^3 - 9x

Interval: (12,6)

Required

Determine the average rate of change

Average rate is calculated as thus;

A(x) = \frac{f(b) - f(a)}{b - a}

<em>In this case; b = 12 and a = 6</em>

Calculating f(12)

f(12) = 12^3 - 9 * 12

f(12) = 1728 - 108

f(12) = 1620

Calculating f(6)

f(6) = 6^3 - 9 * 6

f(6) = 216 - 54

f(6) = 162

Substitute 12 for b and 6 for a in A(x) = \frac{f(b) - f(a)}{b - a}

A(x) = \frac{f(12) - f(6)}{12 - 6}

Substitute values for f(6) and f(12)

A(x) = \frac{1620 - 162}{12 - 6}

A(x) = \frac{1458}{ 6}

A(x) = 243

4 0
3 years ago
Maria has baked a cake for Cathy's birthday. The dimensions of the cake are inches by inches. The cake is going to be cut into s
zaharov [31]
5.55% = 1/18

So, cut the cake into 18 equal squares.

The cake is twice as long as it is wide, so that means cut half the cake (6 3/4 x 6 3/4) into 9 pieces, each with a side of 1/3 * 6 3/4 = 2 1/4 inches.
7 0
3 years ago
What are skew lines and parallel lines
Leni [432]

Two or more lines are parallel when they lie in the same plane and never intersect. The symbol for parallel is <span>||</span>. To mark lines parallel, draw arrows <span>(>)</span> on each parallel line. If there are more than one pair of parallel lines, use two arrows <span>(<span>>></span>)</span> for the second pair. The two lines below would be labeled <span><span><span>AB</span><span>←→</span></span> || <span><span>MN</span><span>←→−</span></span></span> or <span>l || m</span>.

For a line and a point not on the line, there is exactly one line parallel to this line through the point. There are infinitely many lines that pass through A, but only one is parallel to l.

6 0
3 years ago
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What is the slope of the line?
koban [17]
4/3 USE THE FORMULA TO GET YOUR ANSWER
5 0
3 years ago
Situation: Tickets to a baseball game are $20 for an adult and $15 for a student. On Saturdays there is a 3 dollar discount on t
polet [3.4K]
Problem 1. Three students and one adult went to the baseball game on a Saturday, how much was their total bill?

problem 2. Five students and five adults went to the baseball game on a Monday, how much was their total bill?

problem 3: One student and two adults went to the baseball game on a Friday, how much was their total bill?

answer: their total bill was $55

explanation: two adults ($20 + $20 = $40) + one student ($40 + $15 = $55) the discount does not apply because they did not attend the baseball game on a Saturday
6 0
2 years ago
Read 2 more answers
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