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miv72 [106K]
3 years ago
8

Use geometry to evaluate the integral from 0 to 6 of the function f of x, dx for f of x equals 3 for x less than or equal to 3 a

nd equals the quantity 6 minus x for x greater than 3.
27
13.5
12
10.5

Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0
Check the picture below.

\bf f(x)=
\begin{cases}
3&x\le 3\\
6-x&x\ \textgreater \ 3
\end{cases}\qquad \displaystyle \int_{0}^{6}~f(x)\cdot dx

so, you simply have a 3x3 square and a triangle with a base of 3 and a height of 3, get their areas, sum them up, it'd come out to 9 + 4.5 or 13.5.

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Mattison's favorite clothing store is having a sale.Jeans are 25% off mattison bought 2 pairs of jeans that were originally pric
Mamont248 [21]

Answer:

Mattison paid 54 after the discounts for 2 jeans.

Step-by-step explanation:

Original price of the jeans = 35.99

Discount on the jeans = 25%

So, discounted amount on each jeans = \frac{25}{100}  \time 35.99 = 8.99

So, the actual amount paid for 1 jeans = Actual Price - Discounted amount

= 35.99 - 8.99  = 27

So, the price paid for 2 jeans = 27 x 2 = 54

Hence, Mattison paid 54 after the discounts for 2 jeans.

4 0
3 years ago
The quotient of a number and -7 decreased by 2, is 10.
krok68 [10]

Answer:

x = -84

Step-by-step explanation:

(x/-7) - 2 = 10

5 0
3 years ago
(1 point) For the function f graphed below, find the following limits:
dedylja [7]

The limits to the given function are as follows:

1. ∞

2. -∞

3. ∞

4. 1

5. -∞

<h3>What is a limit?</h3>

A limit is given by the <u>value of function f(x) as x tends to a value</u>.

For this problem, at x = 0, we have that to the left the function goes to positive infinity, while to the right it goes to negative infinity, hence:

1. lim f(x) = ∞

x->0-

2. lim f(x) = -∞

x->0+

At x = 2, the function goes to infinity to the left and to the right, hence:

3. lim f(x) = ∞

x->2

To the left of the graph, the function goes to negative infinity, while to the right it goes to 1, hence:

4. lim f(x) = 1

x-> ∞

5. lim f(x) = -∞

x-> -∞

More can be learned about limits of functions at brainly.com/question/26270080

#SPJ1

7 0
2 years ago
Express (x+5)² as a trinomial in standard form​
dolphi86 [110]

Answer:

Step-by-step explanation:

(x+5)² = x² + 10x + 25

5 0
3 years ago
43×15= what is the correct answer
mario62 [17]
43 × 15 = 645.

First, set up the long multiplication.
Second, calculate 3 × 5, which is 15. Since 15 is two-digit, carry the first digit 1 to the next column.
Third, calculate 4 × 5 which is 20. Since 21 is two-digit, carry the first digit 2 to the next column.
Fourth, bring down the carry digit of 2. 
Fifth, calculate 3 × 1, which is 3.
Sixth, calculate 4 × 1, which is 4.
Seventh, calculate 215 + 430, which is 645.
Eighth, therefore, 43 × 15 = 645.

Or.. an easier way is to use a calculator. They always come in handy when doing multiplication.

5 0
3 years ago
Read 2 more answers
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