Given:
where, 
.
To find:
The value of 
.
Solution:
We have,
Differentiate with respect to x.
Using chain rule, we get
Now, put x=5.
![[\because g(5)=-1,g'(5)=8]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%285%29%3D-1%2Cg%27%285%29%3D8%5D)
![[\because f'(-1)=3]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%27%28-1%29%3D3%5D)
Therefore, the value of is 24.
The number of items picked and left are illustrations of a linear equation
The equation that represents the scenario is y = 2x - 3
<h3>How to determine the equation</h3>
Represent the number of items remaining with y, and the number of steps with x
So, each step;
The number of items with you is 2x
When you left 3 items, the expression becomes 2x - 3
Hence, the equation that represents the scenario is y = 2x - 3
Read more about linear equations at:
brainly.com/question/14323743
Hello!
If we try and use 50 coupons for the existing members, and the problem states that they gave FOUR times more than that to potential members, and 250 being our max, then:
250-50= 200
50x4=200—-> then add existing members to get back to the original number
So that means that they gave 50 coupons to existing members.
Let's see. What is a right isosceles triangle?
A right isosceles triangle is a triangle with one right angle with at least two equal sides. In this case, it would have to be ONLY two because it has a right triangle.
What is the formula for the area of an isosceles triangle?
When y = the identical side lengths of the triangle,
and A = area,
(y × y) ÷ 2 = A
Note: Remember to compute from left to right! :)
We divide by two because when you multiple the two identical sides, you would get a square. However, we're trying to find the right isosceles triangle, and we divide by two.
Now, we can plug-in our values!
(y × y) ÷ 2 = 128
(y × y) = 64
Now, we square root both sides!
y = √64
y = 8
The length of the identical sides of the triangle is 8 meters.
Question isn't well formatted, however. From what can be gathered form the question :
Options are given
Answer:
4(1.5 * 16.50) + (1.5 * 9.60)
$113.40
Step-by-step explanation:
Last year:
Cost of full page ad = $16.50
Cost of half page ad = $9.60
50% increase in ad price this year :
Price, this year :
Full page = 1.50 * 16. 50 = $24.75
Half page = 1.50 * $9.60 = $14.4
Expression :
4(1.5 * 16.50) + (1.5 * 9.60)
Cost of a 4 and 1/2 page ad :
Full page = 4 * $24.75 = $99
Half page = 1 * $14.4 = $14.40
Total cost = $(99 + 14.40) = $113.40
