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2 years ago

If a(12)= x/3+2 and b(x)=12x, what is a(12)+b(1)?

Mathematics

1 answer:

bonufazy [111]2 years ago

5 0

Answer:

$a(12) = 12 \div 3 + 2 \\ + b(1) = 12 \times 1 \\ = 4 + 2 + 12 = 18$

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Find lim ?x approaches 0 f(x+?x)-f(x)/?x where f(x) = 4x-3

Whitepunk [10]

If $f(x)=4x-3$ :

$\displaystyle\lim_{\Delta x\to0}\frac{(4(x+\Delta x)-3)-(4x-3)}{\Delta x}=\lim_{\Delta x\to0}\frac{4\Delta x}{\Delta x}=4$

If $f(x)=4x^{-3}$ :

$\displaystyle\lim_{\Delta x\to0}\frac{\frac4{(x+\Delta x)^3}-\frac4{x^3}}{\Delta x}=\lim_{\Delta x\to0}\frac{\frac{4x^3-4(x+\Delta x)^3}{x^3(x+\Delta x)^3}}{\Delta x}$

$\displaystyle=\lim_{\Delta x\to0}\frac{4x^3-4(x^3+3x^2\Delta x+3x(\Delta x)^2+(\Delta x)^3)}{x^3\Delta x(x+\Delta x)^3}$

$\displaystyle=\lim_{\Delta x\to0}\frac{-12x^2\Delta x-12x(\Delta x)^2-4(\Delta x)^3}{x^3\Delta x(x+\Delta x)^3}=-\frac{12}{x^4}$

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4 years ago

Calculate x in the following ratio: x:12 = 6:3

Murrr4er [49]

Answer:

Step-by-step explanation:

x:12

6:3

When 12 go to 3: multiple 4

So 6 multiple 4 = 24

4 0

2 years ago

Read 2 more answers

Jocelyn is training for a race by running several miles each day. she tracks her progress by recording her average speed in minu

Luden [163]

Finding the regression equation, her average speed on the 9th day should be expected to be of 6.92 minutes per mile.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

Researching the problem on the internet, the values of x and y are given as follows:

Values of x: 1, 2, 3, 4, 5, 6.

Values of y: 8.2, 8.1, 7.5, 7.8, 7.4, 7.5.

Hence, using a calculator, the equation for the average minutes per mile after t days is given by:

V(t) = -0.15143t + 8.28

Hence, for the 9th day, t = 9, hence the estimate is:

V(9) = -0.15143(9) + 8.28 = 6.92 minutes per mile.

More can be learned about regression equations at brainly.com/question/25987747

#SPJ1

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2 years ago

Please helpp!!!!!!!!

Otrada [13]

Step-by-step explanation:

the answer is in picture

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3 years ago

Read 2 more answers

Explain why x^2 + y^2 -6x +10y = -34 is NOT a circle. What is it?

kenny6666 [7]

Answer:

(See explanation for further details)

Step-by-step explanation:

The expression is transformed into its standard form:

$x^{2} + y^{2} - 6\cdot x + 10\cdot y + 34 = 0$

$x^{2} - 6\cdot x + 9 + y^{2} + 10\cdot y + 25 = 0$

$(x-3)^{2} + (y+5)^{2} = 0$

The function does not represent a circle, as radius is a positive number.

4 0

3 years ago