<span>Since it's even, the integral from -7 to -1 is the same as the integral from 1 to 7.
</span><span>think about
x^2
from 0..1,its 1/3
from 0..7 its 7^3/3
from -1..7 its 7^3/3+1/3
</span>
<span>from -7..-1 of x^2 its -1/3+7^3/3 to get this without integrating we just do 7^3/3-1/3 which is the integral from 0..7 minus the integral from 0..1
</span><span>So the integral from 1 to 0 f(x) dx = 5 changes to the integral from 0 to 1 f(x) dx = -5 and you add it to the integral from 0 to 7 which is 1 making -4</span>
The inequalities that can be used to represent this problem are x < 0 or x > 5. On the number line, you will want to place an open circle on both 0 and 5. The open circle signifies that x is not equal to these values, but is greater or less than. On the open circle on 0, draw an arrow pointing left, toward the negative values. On the open circle on 5, draw an arrow pointing right, toward the positive values.
Hope this helps!! :)
Answer:
$138
Step-by-step explanation:
We can first turn the words into a mathematical equation by substituting words with the information we have:
Total earning - ( Price of three books)
$180 - (Price of one book x 3)
$180 - ($14 x 3)
Finally, after we have created the mathematical equation, we solve it!
$180 - ($14 x 3)
$180 - $42
$138
1.4 x 10 = 14
That's your answer.
Answer:
40 ft
Step-by-step explanation:
Perimeter is the sum of all 3 sides of a triangle.
For this particular triangle, add 8+20+12:
40