E^2x - 5e^x = 24
(e^x)^2 - 5e^x =24
let e^x = u
u^2 - 5u = 24
u^2 -5u - 24 =0
(u - 8)(u+3)=0
u = 8 or u = -3
since e^x = u then u can't equal -3
e^x = 8
by taking ln for both sides
ln(e^x) = ln(8)
xln(e) = ln(8) .......................ln(e) = 1
x = ln(8) = 3ln(2)
Answer:
B
Step-by-step explanation:
Pythagorean theorem (applicable on right triangles only) says:
- Where
and 
are the two legs of the triangle and 
is the length of the hypotenuse [THE LONGEST SIDE].
<u>We can square each leg on the triangle and take the sum, if that is equal to the square of the longest side, we have a right triangle. Let's check for all of these.</u>
A.
They're not right triangle.
B.
This is a right triangle.
C.
They're not right triangle.
D.
They're not right triangle.
Only B is the right triangle.
where is the picture of the box and whisker plot I don't see nothin'
Answer:
The slope is 3/2.
Step-by-step explanation:
The slope of a line is the relationship between the change of the y-variable and the change of the x-variable. It can be denoted as m = (y2-y1)/(x2-x1), and in layman's terms, it is known as rise over run.
You always can obtain the slope of a line with two points. From this line, for example, I can tell that points (0, 20) and (20, 50) are on the line.
To find the slope of the line, we must first find out what x1, x2, y1, and y2 are. x1 and y1 are the x- and y- coordinates of the first point, and x2 and y2 are the x- and y-coordinates of the second point. With this, we now know that x1 = 0, y1 = 20, x2 = 20, and y2 = 50. We now subsitute this into the formula.
m = (y2-y1)/(x2-x1)
m = (50 - 20)/(20 - 0)
m = (30)/(20)
m = 3/2
Now we know that the slope of the line is 3/2.
