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Zolol [24]
4 years ago
14

What is the equation of a line that has an x-intercept of -4 and a y-intercept of 8 ?

Mathematics
1 answer:
podryga [215]4 years ago
7 0

Answer:

y=2/-1+8

Step-by-step explanation:

  • -4= (-4,0) -4=x1 0=y1, 8= (0,8) 0=x2 8=y2
  • formula is, y2-y1/x2-x1
  • 8-0/0-4=8/-4=4/-2= 2/-1
  • 2/-1 is the slope or (m), use (-4,0) or (0,8) i used (0,8) because its easier.
  • (0,8), 0=x1 8=y1
  • formula is y-y1=m(x-x1)
  • y-8=2/-1(x-0) ---->distribute
  • y-8=2/-1x-0 --->get y alone

          +8          +8

  • so the answer is y=2/-1+8

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marshall27 [118]

Answer:

The first option

Step-by-step explanation:

The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.

So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. x(2x^2-x-15). So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\. So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(2)(-15)}}{2(2)}\\\\x=\frac{1\pm\sqrt{1-4(2)(-15)}}{4}\\\\x=\frac{1\pm\sqrt{121)}}{4}\\\\x=\frac{1\pm11}{4}\\\\x=\frac{12}{4}\\x=3\\\\x=\frac{-10}{4}\\x=-\frac{5}{2}

4 0
2 years ago
Y varies directly with x, and y = 5 when x = 4. What is the value of x when y = 8
ollegr [7]
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Solve using substitution<br> y=3x-5<br> 2x+5y=-42
Paul [167]

Answer:

Solution point is (-1,-9)

Step-by-step explanation:

Put the value of y in the first equation into the second equation.

  • 2x + 5(3x - 5) = - 42            Remove the brackets on the left
  • 2x + 15x - 25 = - 42            Combine like terms on the left
  • 17x - 25 = - 42                     Add 25 to both sides
  • 17x - 25 + 25 = - 42 + 25    Do the addition
  • 17x = - 17                              Divide by 17
  • 17x/17 = -17/17                      Do the division
  • x = - 1    

=======

Solve for y

  • y = 3x - 6
  • x = -1
  • y = 3(-1) - 6
  • y = -3 - 6
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