Start by moving all terms to left side of equation 4x^2 - 19x - 30 = 0
Multiply 4 x -30 = -120
Now find two factors of 120 that subtract to give 19... 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24 ✅
[if it had been +120 we would add the factors looking for 19 which in this case don’t exist]
To get -19 we will need 5 + -24
24 is a multiple of 4 so we can use 4 x -6 and 1 x 5
Giving a factored equation of (4x + 5)(x - 6) = 0 [you should check this by expanding to remove the brackets]
One of the brackets must = zero so the solutions are x = -5/4 or x = 6
Some people look at factors of 4 and -30 and then pair then up to find a sum of -19 but this can take longer to finish.
Answer:
(2,32)
(3,48)
Step-by-step explanation:
2×16=32
3×16=48
Y - y1 = m(x - x1)
slope(m) = -2
(3,1)....x1 = 3 and y1 = 1
now we just sub
y - 1 = -2(x - 3) <== point slope form
Answer:
$5.20
Step-by-step explanation:
Find the tax rate first:
$1.20
-------------- = 0.04
$30.00
The tax rate is 4%.
Then the tax on a $130 item is 0.04($130) = $5.20