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2 years ago

What is the slope of the line? y + 1 = 3(2x - 4)

Mathematics

1 answer:

Alexeev081 [22]2 years ago

6 0

Answer: 6

Step-by-step explanation:

Let's start by getting the equation to slope intercept form

First simplify

$y + 1 = 3(2x - 4)\\\\y+1=6x-12$

Then get y by itself

$y+1-1=6x-12-1\\y=6x-13$

In slope intercept form y=mx+b, m is the slope

In this case the slope is 6

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What is the volume of a hemisphere with a diameter of 6.1 cm, rounded to the nearest tenth of a cubic centimeter?

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Answer:

The volume of hemisphere is V = 59.4 $cm^{3}$

Step-by-step explanation:

Diameter of hemisphere = 6.1 cm

Radius of hemisphere = 3.05 cm

We know that volume of hemisphere is given by

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Simplify the ratio 64:24

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8:3

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At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the qua

Nady [450]

Answer:

1) The demand equation is $x=-0.25p+300$

2) The price when no consumers willing to buy this commodity is $1200.

3) The quantity of the commodity would consumers take if it was free is 300 pounds.

Step-by-step explanation:

Given : At a unit price of $900, the quantity demanded of a certain commodity is 75 pounds. If the unit price increases to $956, the quantity demanded decreases by 14 pounds.

To find :

1) The demand equation ?

2) At what price are no consumers willing to buy this commodity?

3) According to the above model, how many pounds of this commodity would consumers take if it was free?

Solution :

1) According to question,

p is the unit price and x is the quantity demanded for this commodity in pounds.

Let, $p_1=\$900$ and $x_1=75\text{ pounds}$

and $p_2=\$956$ and $x_2=75-14=61\text{ pounds}$

To find the demand equation we apply two point slope form,

$(x - x_1)=\frac{(x_2-x_1)}{(p_2-p_1)}\times(p-p_1)$

Substitute the values,

$(x - 75)=\frac{61-75}{956-900}\times(p-900)$

$(x - 75)=\frac{-14}{56}\times(p-900)$

$(x - 75)=\frac{-1}{4}\times(p-900)$

$x-75=-\frac{1}{4}p+225$

$x=-\frac{1}{4}p+300$

$x=-0.25p+300$

The demand equation is $x=-0.25p+300$

2) For no consumers,

Substitute x=0 in demand equation,

$0=-0.25p+300$

$0.25p=300$

$p=\frac{300}{0.25}$

$p=1200$

The price when no consumers willing to buy this commodity is $1200.

3) For free,

Substitute p=0 in demand equation,

$x=-0.25(0)+300$

$x=300$

The quantity of the commodity would consumers take if it was free is 300 pounds.

3 0

3 years ago

The marginal loss on Washington reds, a brand of apples from the state of Washington, is $35 per case. The marginal profit is $1

AlexFokin [52]

Answer:

42666 cases

Step-by-step explanation:

P = (Marginal Loss)/ (Marginal Loss + Marginal Profit)

P = (35)/(35+15) = 0.7

Considering a normal distribution we can find the corresponding z value by P = 0.7 (which represented the shaded area under the curve)

z = 0.5244

z = (X - Mean Sales)/Standard Deviation

-0.5244 = (X - 45000)/4450

X = 42666.42 ≅ 42666

6 0

3 years ago