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3 years ago

Solve 4(2x - 1) - 3 = 9(x - 4). (1 point)

Mathematics

1 answer:

DiKsa [7]3 years ago

4 0

Answer:

$x = 29$

Step-by-step explanation:

First we will expand the equation using the rule

$x(y - z) = xy - xz$

Thus,

$4(2x - 1) - 3 = 9(x - 4)$

is equal to

$8x - 4 - 3 = 9x - 36$

Simplify:

$8x - 7 = 9x - 36$

Add 36 to both sides:

$8x + 29 = 9x$

Therefore,

$x = 29$

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What is the relationship between 1 meter and 1 centimeter?

Jet001 [13]

Answer:

It was first used as “centi” by the French, who introduced the measurement when they created the metric system. When used as centi, it is defined as one-hundredth of a unit. Thus, a meter is 100 cm, or a centimeter is one-hundredth of a meter.

Step-by-step explanation:

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3 years ago

If the price of a product is p (dollars), the number of units demanded is given by the equation q-pe-3p

Nat2105 [25]

Answer:

$\mathbf{E(p) = 1 - 3p}$

the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

Step-by-step explanation:

Given that:

the number of units demanded $q = pe^{-3p}$

Taking differentiations ; we have,

$\dfrac{dq}{dp}=e^{-3p}+p(-3e^{-3p})$

$\dfrac{dq}{dp}=(1-3)e^{-3p}$

Now; the price elasticity of demand using the differentials definition of elasticity is:

$E(p) = \dfrac{dq}{dp}*\dfrac{p}{q}$

$E(p) =[(1-3)e^{-3p}]*[\dfrac{p}{pe^{-3p}}]$

$\mathbf{E(p) = 1 - 3p}$

(b) Use your answer from part (a) to estimate the percent change in q when the price is raised from $2.00 to $2.10.

The estimate of the percentage change in price is :

$=\dfrac{2.10-2.00}{2.00}*100 \%$

= 5%

From (a)

$\mathbf{E(p) = 1 - 3p}$

Now at p = $2.00

E(2) = 1 - 3 (2.00)

E(2) = 1 - 6

E(2) = -5

The percentage change in q = -5 × 5%

The percentage change in q = -25%

Thus; we can conclude that the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

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3 years ago

A consumer charges a $2,530. 16 purchase on a credit card. The card has a daily interest rate of 0. 42%. If the balance is paid

Eddi Din [679]

The interest the customer would pay is $318.78.

Interest can be described as the cost of borrowing. It is the amount of money a borrower has to pay to the lender.

Interest = amount borrowed x interest rate

Daily interest = $2,530.16 x 0.42%

$2,530.16 x 0.0042 = 10.63

Monthly interest = 10.63 x 30 = $318.80

To learn more about interest, please check: brainly.com/question/25811386

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2 years ago

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Answer:

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Step-by-step explanation:

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