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igor_vitrenko [27]
3 years ago
11

Please help Find a: x+a=3 x-a=1

Mathematics
1 answer:
marishachu [46]3 years ago
3 0

Answer:

ITS 2

Step-by-step explanation:

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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}

7 0
4 years ago
Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions
forsale [732]

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

8 0
3 years ago
377. Dawn wants to compare the volume of a basketball with the
olchik [2.2K]

Answer:

V = \frac{4}{3} \pi R^{3} and

v = \frac{4}{3} \pi r^{3}

Step-by-step explanation:

Dawn wants to compare the volume of a basketball with the  volume of a tennis ball.

Now, if the radius of the basketball is R and that of the tennis ball is r, then the formula that can be used to determine the volume of each ball will be

V = \frac{4}{3} \pi R^{3} and

v = \frac{4}{3} \pi r^{3}

Now, dividing V by v we can compare the volume of the basketball and the tennis ball. (Answer)

3 0
4 years ago
Help me ugent <br> 12 x 12 ^ 1
Naddika [18.5K]

Answer:

144 lol

Step-by-step explanation:

4 0
3 years ago
A cable installer charges $40. an hour plus a $50.00 service charge. Figure the function c(h) = ?
Hitman42 [59]

Answer:

c(h) = 40*h + 50

Step-by-step explanation:

Let h be the variable that represents the number of hours

As the cable operator charges $40.00 for an hour so for h hours, the expression will be 40*h

And  

Lastly, he has to charge $50.00 must as service charge,

As the number of hours is variable here so the function will be in terms of hours.

So the resulting function will be:

c(h) = 40*h + 50

3 0
3 years ago
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