Answer:
A) x - 4
B) x² - 4x
C) x³ - 2x² - 8x
D) 2x³ + 3x² - 32x + 15
Step-by-step explanation:
A)
x-intercepts: x = 4
Factors:
(x - 4)
B)
x-intercepts: x = 4, 0
Factor:
(x - 0)(x - 4)
x² - 4x
C)
x-intercepts: x = 4, 0, -2
Factor:
(x - 0)(x - 4)(x + 2)
(x² - 4x)(x + 2)
x³ - 4x² + 2x² - 8x
x³ - 2x² - 8x
D)
x-intercepts: x = 3, ½, -5
Factor:
(x - 3)(2x - 1)(x + 5)
(2x² - 6x - x + 3)(x + 5)
(2x² - 7x + 3)(x + 5)
2x³ - 7x² + 3x + 10x² - 35x + 15
2x³ + 3x² - 32x + 15
Answer:
y=-1/2x+17
Step-by-step explanation:
y=-1/2x+17
Answer:
x=6
Step-by-step explanation:
**distribute**
3x+6-6=18
3x=18
x=6
Answer:
3.4
Decrease ; 3.375
Step-by-step explanation:
Mean = Σfx / Σf
Σfx = (1 * 2) + (2 * 2) + (3 * 3) + (4 * 9) = 51
Σf = 1 + 2 + 3 + 9 = 15
Mean = 51 / 15 = 3.4
If 1 more dot is added to the 3rd column:
Σfx = (1 * 2) + (2 * 2) + (3 * 4) + (4 * 9) = 54
Σf = 1 + 2 + 4 + 9 = 16
Mean = 54 / 16 = 3.375
The shorter piece is 37 cm
The longer piece is 48 cm:
Step-by-step explanation:
Divide 85 cm by 2 = 42.5
Divide 11 cm by 2 = 5.5
Add them together = 48 cm
85 cm - 48 cm = 37 cm