Answer:
4x^2+17x+15
Step-by-step explanation:
(4x-3)(x+5)
= 4x(x+5) -3(x+5)
= 4x^2+ 20x -3x + 15
= 4x^2 + 17x + 15
Answer:
D) 3.28
Step-by-step explanation:
820/x=100/2.5
(820/x)*x=(100/2.5)*x - we multiply both sides of the equation by x
820=40*x - we divide both sides of the equation by (40) to get x
820/40=x
20.5=x
x=20.5
now we have:
2.5% of 820=20.5
Answer:
y = -3x - 1
Step-by-step explanation:
Look at your line. It's a downward trend which means your slope is negative
slope is the m in y = mx+b
Your b is your y intercept or where the graph touches the y = 0 vertical line.
It cross at -1 value
Your slope value is determined by rise/run so in the case it goes down 3 values and across 1 value so its 3/1 but its negative so its -3/1
Answer:
x = 8 ± 2i
Step-by-step explanation:
Given
x² - 16x + 60 = - 12 ( subtract 60 from both sides )
x² - 16x = - 72
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 72 + 64, thus
(x - 8)² = - 8 ( take the square root of both sides )
x - 8 = ±
= ± 2i
( add 8 to both sides )
x = 8 ± 2i
You don't simplify rational numbers, but sometimes you can simplify a fraction.
The way to do that is to divide the top and bottom by their greatest common factor.
The greatest common factor of 57 and 69 is 3 . When you divide the top and
bottom by 3 , you have 19/23 . That's the simplest form of that particular fraction.