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3 years ago

13

Why equals 3/4 X -12 and why equals negative 4X - 31

1 answer:

Helga [31]3 years ago

8 0

Answer:

(x, y) = (-4, -15)

Step-by-step explanation:

Perhaps you want the solution to ...

y = 3/4x -12

y = -4x -31

Equating the two expressions for y gives ...

3/4x -12 = -4x -31

3/4x = -4x -19 . . . . . add 12

3x = -16x -76 . . . . . multiply by 4

19x = -76 . . . . . . . . . add 16x

x = -76/19 = -4 . . . . divide by 19

y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y

The solution to this system of equations is ...

(x, y) = (-4, -15)

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<u>Step-by-step explanation:</u>

$\lim_{h \to 0} f(x)=\dfrac{f(x+h)-f(x)}{h}$

f(x) = $\sqrt x\\$

f(x+h) = $\sqrt{x+h}$

$\lim_{h \to 0} f(x)=\dfrac{\sqrt{x+h}-\sqrt x}{h}$

$=\dfrac{\sqrt{x+h}-\sqrt x}{h}\bigg(\dfrac{\sqrt{x+h}+\sqrt x}{\sqrt{x+h}+\sqrt x}\bigg)$

$=\dfrac{(x + h)-(x)}{h(\sqrt{x+h}+\sqrt x)}$

$=\dfrac{h}{h(\sqrt{x+h}+\sqrt x)}$

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