Varuns monthly income is 18000 he spends 1/5 of his income for house rent and 3/5 of his income on other expenditure how much do
2 answers:
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Answer:
Step-by-step explanation:
<u>Given</u> :
- y = 4x² + 8x - 12
4 cancels throughout.
- <u>y = x² + 2x - 4</u>
<u>Solving by quadratic formula</u> :
- x = -8 ± √(8)² - 4(4)(-12) / 8
- x = -8 ± √64 + 192 / 8
- x = -8 ± √256 / 8
- x = -8 ± 16 / 8
- x = -1 ± 2
- x = 1 and x = -3
∴ Hence, the x-intercepts are (1, 0) and (-3, 0). The roots of the equation are 1 and -3.
Answer:
y = - x - 11
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 10, - 7) and (x₂, y₂ ) = (- 5, - 9)
m = = -
, hence
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 5, - 9 ), then
- 9 = 2 + c ⇒ c = - 9 - 2 = - 11
y = - x - 11 ← in slope-intercept form