f(x)=lnx
y=f(x)
dy/dx= 1/x
tangent at (x,y) has slope 1/x
eqn of tangent is y = mx + c
since the tangent passes through origin, c=0
substitute y = lnx and m= 1/x to above eqn
lnx = 1
x=e
y=lne=1
Answer:
$1,562.50
Step-by-step explanation:
Markup= (selling price- cost)/cost
Let cost be represented by C
0.20 = (1875-C)/ C
0.20C = 1875 - C
0.20C+ C = 1875
1.20C=1875
Divide both sides by 1.20;
C= 1875/1.20
C= $1,562.50
The wholesale cost was $1,562.50
Answer:
You are <em>squaring x and -5 on the first equation</em>, and on the second equation you are <em>just squaring x and subtracting 5.</em>
Step-by-step explanation:
And since on the first equation x and -5 are in parenthesis that means that the square goes to both of them.
And the second one there is no parenthesis so the square only goes to the x.
I hope this helps you.
To solve this problem you must follow the steps below:
1. The problem says that:
- The<span> hot air balloon is at an altitude of 240 feet.
- It descends at 30 feet per minute.
2. Therefore, you have:
x: the time in minutes.
y: the altitute in feet.
3. Keeping all this information on mind, you can write the following equation:
y=240-30x
4. Therefore, as you can see, the answer is:
</span>
y=240-30x
Answer:
The number is 12
Step-by-step explanation:
Let x be the number
160/100 = 1.6
1.6 x = 19.2
x = 19.2 / 1.6
x = 12
