Answer:
Scale factor = 3
Step-by-step explanation:
Scale factor used for the dilation = the ratio of the corresponding side length of the new figure to the side length of the original figure
Scale factor = B'C'/BC
B'C' = 9 units
BC = 3 units
Scale factor = 9/3 = 3
P(x) = x^4 - 9x^2 - 4x + 12
P(1) = 1^4 - 9(1)^2 - 4(1) + 12 = 1 - 9 - 4 + 12 = 0
x = 1 is a root.
By dividing the polynomial by x - 1, gives other roots as 3 and -2
Answer:
y = 4x+23
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substitute the point into the equation
7 = 4(-4)+b
7 = -16+b
Add 16 to each side
7+16 = b
23 = b
y = 4x+23
The grade of her sci test was 61. First I add 37 to 85, the sum being 122. Then if you divide it in half, you get the quotien and final answer of 61
(128 oz) * (2 oranges)/(5 oz) * (1 bag)/(11.5 oranges) * $3.49/bag ≈ $15.54
Note that we have assumed 11.5 oranges per bag, and that partial bags are available.
If Chantal must buy whole bags of oranges, 5 bags will be needed and the cost will be $17.45.