Mathematics: Pls ! what are the x and y intercepts of the equation? y=log(7x+3)−2 round the answers to the nearest hundredth. enter your answers in the boxes.

Pls ! what are the x and y intercepts of the equation?

Ответ:

myzirajackson39

10.03.2022

$Domain:\\7x+30\qquad\text{subtract 3 from both sides}\\7x-3\qquad\text{divide both sides by 7}\\x-\dfrac{3}{7}$

$x-intercept\ for\ y=0:\\\\\log(7x+3)-2=0\qquad\text{add 2 to both sides}\\\\\log(7x+3)=2\\\\\log(7x+3)=\log10^2\iff7x+3=100\qquad\text{subtract 3 from both sides}\\\\7x=97\qquad\text{divide both sides by 7}\\\\x\approx13.86\\\\y-intercept\ for\ x=0:\\\\y=\log(7(0)+3)-2\\\\y=\log(3)-2\approx-1.52\\\\\\x-intercept=\boxed{13.86}\\y-intercept=\boxed{-1.52}$

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Ответ:

elysalmeron05

21.04.2020

Mathematics

ah maths exam from ibn seena

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Pls ! what are the x and y intercepts of the equation? y=log(7x+3)−2 round the answers to the nearest hundredth. enter your answers in the boxes.

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