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AysviL [449]
3 years ago
11

Please Help! Math- Slope!

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0
M = 6-0/-5-3
m = 6/-8
m = 3/-4
You might be interested in
Can you help me find t value in this problem?
Eduardwww [97]

we have a maximum at t = 0, where the maximum is y = 30.

We have a minimum at t = -1 and t = 1, where the minimum is y = 20.

<h3>How to find the maximums and minimums?</h3>

These are given by the zeros of the first derivation.

In this case, the function is:

w(t) = 10t^4 - 20t^2 + 30.

The first derivation is:

w'(t) = 4*10t^3 - 2*20t

w'(t) = 40t^3 - 40t

The zeros are:

0 = 40t^3 - 40t

We can rewrite this as:

0 = t*(40t^2 - 40)

So one zero is at t = 0, the other two are given by:

0 = 40t^2 - 40

40/40 = t^2

±√1 = ±1 = t

So we have 3 roots:

t = -1, 0, 1

We can just evaluate the function in these 3 values to see which ones are maximums and minimums.

w(-1) = 10*(-1)^4 - 20*(-1)^2 + 30 = 10 - 20 + 30 = 20

w(0) = 10*0^4 - 20*0^2 + 30    = 30

w(1) =  10*(1)^4 - 20*(1)^2 + 30 =  20

So we have a maximum at x = 0, where the maximum is y = 30.

We have a minimum at x = -1 and x = 1, where the minimum is y = 20.

If you want to learn more about maximization, you can read:

brainly.com/question/19819849

6 0
2 years ago
Alyssa goes out for dinner, and the price of her meal is $18. The sales tax on the meal is 6%, and she also wants to leave a 20%
Oksana_A [137]

Answer:

$22.68

Step-by-step explanation:

Meal Price =$18

Sales tax =6%

Tip = 20%

Total Price of the Meal =$18 + (6% of 18)+ (20% of 18)

=$18 + (0.06 X 18)+ (0.2 X 18)

=18+1.08+3.6

=$22.68

The total price of Alyssa's meal is $22.68.

6 0
3 years ago
The value of y varies directly with x and inversely with
Pani-rosa [81]

Answer:

x = 45 when y = 20 and z = 6

Step-by-step explanation:

The general formula here is y = kx/z²

If x = 24 and y = 6, z = 8, so:

y = kx/z² becomes 6 = k(24)/8², and:

             6                   1

k = ---------------- = -------------- = 16

         24/64            4/64

Then y = 16x/z², and so, if y = 20 and z = 6 (check this!), then:

20 = 16x/36, or 16x = 720, or x = 45

x = 45 when y = 20 and z = 6

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B5x%2F8y%7D" id="TexFormula1" title="\sqrt[4]{5x/8y}" alt="\sqrt[4]{5x/8y}" al
Furkat [3]

Answer:  \frac{\sqrt[4]{10xy^3}}{2y}

where y is positive.

The 2y in the denominator is not inside the fourth root

==================================================

Work Shown:

\sqrt[4]{\frac{5x}{8y}}\\\\\\\sqrt[4]{\frac{5x*2y^3}{8y*2y^3}}\ \ \text{.... multiply top and bottom by } 2y^3\\\\\\\sqrt[4]{\frac{10xy^3}{16y^4}}\\\\\\\frac{\sqrt[4]{10xy^3}}{\sqrt[4]{16y^4}} \ \ \text{ ... break up the fourth root}\\\\\\\frac{\sqrt[4]{10xy^3}}{\sqrt[4]{(2y)^4}} \ \ \text{ ... rewrite } 16y^4 \text{ as } (2y)^4\\\\\\\frac{\sqrt[4]{10xy^3}}{2y} \ \ \text{... where y is positive}\\\\\\

The idea is to get something of the form a^4 in the denominator. In this case, a = 2y

To be able to reach the 16y^4, your teacher gave the hint to multiply top and bottom by 2y^3

For more examples, search out "rationalizing the denominator".

Keep in mind that \sqrt[4]{(2y)^4} = 2y only works if y isn't negative.

If y could be negative, then we'd have to say \sqrt[4]{(2y)^4} = |2y|. The absolute value bars ensure the result is never negative.

Furthermore, to avoid dividing by zero, we can't have y = 0. So all of this works as long as y > 0.

3 0
2 years ago
Pizza house offers 22 different​ salads, 77 different kinds of​ pizza, and 55 different desserts. how many different three cours
daser333 [38]
22x77x55=93,170 different possibilities
8 0
3 years ago
Read 2 more answers
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