Answer: 1.5
Step-by-step explanation:
From the attached graph:
D = (0, 4)
F = (3, 2)
After segment DF was dilated from the origin to create segment D'F'
D' = (0, 6)
F' = (4.5, 3)
Scale factor is obtained by calculating the proportion of the coordinates of the two segments. That is ;
Scale factor = value on dilated coordinate / value on original coordinate
Taking the x-coordinate of F and F':
Scale factor = coordinate 'x' of F' / coordinate 'x' of F
Scale factor = 4.5 / 3 = 1.5
Similarly,
Taking the y-coordinate of F and F':
Scale factor = coordinate 'y' of F' / coordinate 'y' of F
Scale factor = 3 / 2 = 1.5
Answer:
theres nothing there
Step-by-step explanation:
If you were to get 30% backed off, lucky you !
You would then pay only the remaining 70%.
70% means 0.70
0.70 x $610 = <u>$427 </u>
Answer:
x³ - 12x² + 43x - 40
Step-by-step explanation:
f(x) × g(x)
= (x - 5)(x² - 7x + 8)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² - 7x + 8) - 5(x² - 7x + 8) ← distribute both parenthesis
= x³ - 7x² + 8x - 5x² + 35x - 40 ← collect like terms
= x³ - 12x² + 43x - 40
Answer:
x = 12
Step-by-step explanation:
Given
4(x - 5) = 8x + 4 - 6x ← distribute left side and simplify right side
4x - 20 = 2x + 4 ( subtract 2x from both sides )
2x - 20 = 4 ( add 20 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
