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vazorg [7]
3 years ago
15

(a) find the slope m of the tangent to the curve y = 5/ x at the point where x = a > 0.(b) find equations of the tangent line

s at the points (1, 5) and 4, 5 2 .
Mathematics
1 answer:
Trava [24]3 years ago
4 0
<span>(a) the slope of curve is calculated from the derivative of the curve expression y=5/x. In this problem, the slope m=-5/(a^2). (b) x=1, y=5,and m=-5, the tangent line is y-5=-5*(x-1). x=4, y=5/4, and m=-5/16, the tangent line is y-5/4=-5/16*(x-4)</span>
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How is 340 divided by 17 reasonable
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Factor:<br><br><br>(m+2)^2−(m+2)+mn·(n+2)+2n(n+2)
bazaltina [42]
ANSWER
{(m + 2)}( {n}^{2} + 2n + m + 1)

EXPLANATION

The given expression is

{(m + 2)}^{2} - (m + 2) + mn(n + 2) + 2n(n + 2)

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= {(m + 2)}(m + 2 - 1) +n (n + 2) (m+ 2)

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We factor further to obtain,

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5 0
3 years ago
A group of friends went to the movies. Movie tickets cost $8.50 each. One of the group bought some food for $6.50. The group spe
Liula [17]

Answer:

Equation: 8.5t+6.5=57.5

Solution: t=6

Step-by-step explanation:

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According to the information given in the exercise, the price of each movie ticket is: $8.50.

Then, you can represent the amount (in dollars) the group of friends spent in movie tickets, with this expression:

8.5t

You know that one person spent $6.50, then the expression that represents the total amount (in dollars) the group of friends spent in food and movie tickets, is:

8.5t+6.5

Since that total amount spent is given in the exercise, you can write the following equation to determine how many tickets were bought:

8.5t+6.5=57.5

Finally, you can solve for "t" in order to find the solution of the equation. This is:

8.5t=57.5-6.5\\\\t=\frac{51}{8.5}\\\\t=6

3 0
3 years ago
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Airida [17]
Hello!

Judging by the question you have provided I have come up with an equation to solve the problem at hand. 

Based on the question you have provided I figured that there are two types of bread displayed being: loaves and gourmets.
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The equation for this is 22+17.

Your answer should be 39 loaves of bread.

Hope this helped!
-Blake

5 0
3 years ago
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