Which linear function has the greatest y-intercept?

Mathematics

2 answers:

Klio2033 [76]3 years ago

8 0

Answer: The answer is :D

Zolol [24]3 years ago

5 0

Put these all in slope intercept form: y=mx+b

m=slope
b=y intercept

Working out option A)
x+6y=36
6y=-x+36
y=-1/6x+6

Option B)
y=15x+5

Option C)
Is there a typo? Regardless of how I attmpeted to fix it, it had an intercept of either 3 or 4

Option D)
y=4x+7

The answer is D with the greatest y-intercept of 7.

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Which statement best describes the solutions of this equation? 4/3x+1 = x/2x+10

Komok [63]

Answer:

x= 5

x= 8/3

Step-by-step explanation:

Step one

Given the expression

$\frac{4}{3x+1} =\frac{x}{2x+10}$

cross multiply we have

$4(2x+10)= x(3x+1)$

$8x+40=3x^2+x$

collect like terms

$3x^2+x-8x-40=0$

$3x^2-7x-40=0$

applying the quadratic equation

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-7)\pm\sqrt{(-7)^2-4*3(-40)}}{2*3}\\\\x=\frac{7\pm\sqrt{49+480}}{2*3}\\\\x=\frac{7\pm\sqrt{529}}{6}\\\\x=\frac{7\pm 23}{6}\\\\x=\frac{7\+23}{6}\\\\x=\frac{30}{6} \\\\x=5\\\\x=\frac{7-23}{6}\\\\x=\frac{-16}{6} \\\\x=\frac{8}{3}$