Answer:
x³ - 10x² + 31x - 30
Step-by-step explanation:
Given
(x - 2)(x - 3)(x - 5) ← expand the second pair of factors using FOIL
= (x - 2)(x² - 8x + 15) ← distribute
= x³ - 8x² + 15x - 2x² + 16x - 30 ← collect like terms
= x³ - 10x² + 31x - 30
Answer:
the slope is defined as the change in price divided by the change in quantity supplied between two points (i.e. the two ordered pairs). we can use the following formula to calculate it: m = (y2 – y1)/(x2 – x1). in the case of my example, the two ordered pairs are (2, 500) and (1, 250)
Step-by-step explanation:
Answer:
Your table is filled in below.
Step-by-step explanation:
The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".
Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*
__
* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.
The area of a parallelogram is the product of the length of the base and the height measured perpendicular to the base.
1i) (20 cm)*(12 cm) = 240 cm^2
2ii) (7 cm)*(7.5 cm) = 52.5 cm^2
3iii) 27 cm^2 = (6 cm)*h
.. h = (27 cm^2)/(6 cm) = 4.5 cm