Suppose that the demand equation for a certain item is 1p+1x2−160=0. evaluate the elasticity at 65:

The required value of elasticity at x = 65 is -0.007.

Given that,

The demand equation for a certain item is .

We have to determine,

The value of elasticity at 65.

According to the question,

The price elasticity of demand is calculated as the percentage change in quantity divided by the percentage change in price.

Therefore,

Price of elasticity =

Calculate change by differentiation with respect to p:

Then,

Therefore, The elasticity at x = 65 is ,

Hence, The required value of elasticity at x = 65 is -0.007.

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let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: