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3 years ago

Dy If y - 2x+3 then 3x+29 dx

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

6 0

Answer:

$y'=\frac{-5}{(3x+2)^2}$

Step-by-step explanation:

Step 1: Write equation

$y=\frac{2x+3}{3x+2}$

Step 2: Find derivative

Quotient Rule: $y'=\frac{(3x+2)(2)-(3)(2x+3)}{(3x+2)^2}$
Simplify: $y'=\frac{(6x+4)-(6x+9)}{(3x+2)^2}$
Simplify: $y'=\frac{-5}{(3x+2)^2}$

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Factor by grouping 3x^2 + 11 - 14 plss i need help!

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Answer:

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Step-by-step explanation:

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2 years ago

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Vaselesa [24]

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2 years ago

For the diagram at right, write and solve an equation to find x

Tomtit [17]

Answer:

x = 24

Step-by-step explanation:

The formula for determining the sum of interior angles is:

$(n-2) * 180$

$4 * 180 = 720$

Therefore to determine an equation for x, we must add up all the interior angle equations and set them equal to 720.

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The equation and answer above shows how to find x, which equals 24.

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2 years ago

gross income £12000 tax free allowance £6475 what is taxable amount @20%, tax payable,net income and weekly net amount how to wo

olganol [36]

We calculate for the taxable income by subtracting the tax free allowance from the gross income.

Taxable income = Gross income - tax free allowanc
Taxable income = (£12,000 - £6,475)
= £5,525

Hence, the taxable income is equal to £5,525.

Net income:
This would be equal to the gross income minus the amount of taxes to be paid.

Net income = Gross income - amount of tax to be paid
Net income = (£12,000) - (0.20)($5,525)
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Therefore,
ANSWER: $10,895

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3 years ago

preliminary sample of 100 labourers was selected from a population of 5000 labourers by simple random sampling. It was found tha

VladimirAG [237]

Answer:

$n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79$

n=369

Step-by-step explanation:

1) Notation and definitions

$X=40$ number of the selected labourers opt for a new incentive scheme.

$n=100$ random sample taken

$\hat p=\frac{40}{100}=0.4$ estimated proportion of the selected labourers opt for a new incentive scheme.

$p$ true population proportion of the selected labourers opt for a new incentive scheme.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

2) Solution tot he problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: