Distribute -2(x - 3)
4x - 2x + 6 = 10 + -9
Simplify
2x = -5
x = -2.5
The value of
such that the line
is tangent to the parabola
is
.
If
is a line <em>tangent</em> to the parabola
, then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:
(1)
Then, we have the following system of equations:
(1)
(2)
(3)
Whose solution is shown below:
By (3):

(3) in (2):
(4)
(4) in (1):



The value of
such that the line
is tangent to the parabola
is
.
We kindly invite to check this question on tangent lines: brainly.com/question/13424370
Answer:
At least 6 shirts should be brought to avail a total reduction of Rs 40.
Step-by-step explanation:
The marked price of each shirt = Rs 28
Discount offered = 25%
So, 25% of marked price 28 = 
⇒Reduction on each shirt is Rs 7
Now, total amount reduction needed = Rs 40
So, number of shirts purchased = 
= 40 Rs /7 Rs = 5. 71 ≈ 6
So, at least 6 shirts should be brought to avail a total reduction of Rs 40.
Answer:
d = -16
Step-by-step explanation:
Step 1: Write equation
89 = -5d + 9
Step 2: Solve for <em>d</em>
<u>Subtract 9 on both sides:</u> 80 = -5d
<u>Divide both sides by -5:</u> -16 = d
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
89 = -5(-16) + 9
89 = 80 + 9
89 = 89
Answer:
11/15
Step-by-step explanation:
Add 3 to the numerator which is 8 and that would equal 11 so your complete fraction should be 11/15.