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3 years ago

13x - 5y = 195 what is y intercept and what is x intercept and what is the slope

Mathematics

1 answer:

nadya68 [22]3 years ago

5 0

Answer:

x intercept: (15,0)

y intercept: (0, -39)

slope: 13/5

Step-by-step explanation:

The attachments below is the slopes and x and y intercept

Hope this helps (:

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I need help with this question

OverLord2011 [107]

if the lower pointvis 56 the dot line will be 55.5

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3 years ago

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A rectangular storage container with an open top is to have a volume of 10 m3 . then length of its base is twice the width. mate

katrin [286]

Answer:

The cost of materials for the cheapest such container is $163.54.

Step-by-step explanation:

A rectangular storage container with an open top is to have a volume of 10 m³.

The volume of the rectangle is

$\text{Volume} =\text{Length} \times \text{Width} \times \text{Height}$

Length of its base is twice the width.

Let Width be 'w'.

Length is l=2w.

Height be 'h'.

$10 =2w\times w\times h$

$10=2w^2h$

The height in terms of width is represented as,

$h=\frac{10}{2w^2}$

$h=\frac{5}{w^2}$

According to question,

The cost is 10 times the area of the base and 6 times the total area of the sides.

i.e. Cost is given by,

$C=10(L\times W)+6(2\times L\times H+2\times W\times H)$

$C=10(2w\times w)+6(2\times 2w\times \frac{5}{w^2}+2\times w\times \frac{5}{w^2})$

$C=20w^2+\frac{120}{w}+\frac{60}{w}$

$C(w)=20w^2+\frac{180}{w}$

To get the minimum value,

Differentiate the cost w.r.t 'w',

$C'(w)=20\frac{d(w^2)}{dw}+180\frac{d(w^{-1})}{dw}$

$C'(w)=20\times 2w-180 w^{-2}$

$C'(w)=40w-\frac{180}{w^2}$

To find critical points put derivate =0,

$40w-\frac{180}{w^2}=0$

$40w=\frac{180}{w^2}$

$w^3=\frac{180}{40}$

$w=\sqrt[3]{4.5}$

$w=1.65$

We find the second derivative to minimize,

$C''(w)=40\frac{d(w)}{dw}-180\frac{d(w^{-2})}{dw}$

$C''(w)=40+360(w^{-3})$

$C''(w)>0$

As $C''(w)>0$ it is the minimum cost.

The cost is minimum at w=1.65.

Substitute the values in the cost function,

$C(1.65)=20(1.65)^2+\frac{180}{1.65}$

$C(1.65)=54.45+109.09$

$C(1.65)=163.54$

Therefore, the cost of materials for the cheapest such container is $163.54.

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3 years ago

What is the sum of the first four composite numbers?<br> 19<br> 20<br> 27<br> 28

Tatiana [17]

Your answer would be 27

4 0

3 years ago

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What is the solution to the equation x + 7 = 63? 9, 16, 56, 70.

luda_lava [24]

Hello!

Answer:

x = 56

Step-by-step explanation:

x=63−7

x = 56

Hope this helps!

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3 years ago

What is an expression to represent the equation

Tatiana [17]

Answer:

8 + $\frac{x}{4}$

Step-by-step explanation:

I'm assuming you want an answer to the top section of the question.

We can start with 8.

When a problem asks for the sum, it's looking for addition, so we use the + sign.

8 +

The problem says "a number," so let's represent that with x. Basically, x just means a number we don't know.

8 + x

The "number" is divided by 4, so we'll just put x/4 as our second term.

8 + $\frac{x}{4}$

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4 years ago