Answer:
3x² - 14x + 14
Step-by-step explanation:
Given
3(x - 2)² - 2(x - 1) ← expand (x - 2)² using FOIL
= 3(x² - 4x + 4) - 2(x - 1) ← distribute both parenthesis
= 3x² - 12x + 12 - 2x + 2 ← collect like terms
= 3x² - 14x + 14
Answer: 6 pounds of French roast coffee and 14 pounds of Sumatran coffee was used.
Step-by-step explanation:
Let x represent the number of pounds of French roast coffee that should be added in the blend.
Let y represent the number of pounds of Sumatran coffee that should be added in the blend.
The total number of pounds of the mixture made is 20 lb. This means that
x + y = 20
The mixture sells for $8.30 a pound. The total cost of the mixture would be
8.3 × 20 = 166
This means that
9x + 8y = 166 - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
9(20 - y) + 8y = 166
180 - 9y + 8y = 166
- 9y + 8y = 166 - 180
- y = - 14
y = 14
x = 20 - y = 20 - 14
x = 6
Answer:
The initial speed of a car at a red light would be 0 m/s, because it has fully been put to a stop. It's not moving.
Step-by-step explanation:
If a car were to fully stop there would be no speed.
For example, if you were to go walking in the city, and you were about to walk onto the crosswalk, but the signal turn into a reg light. Then you would have stopped. Then you have gone into an idle position. When in this idle position, it is like you aren't moving, so there is no acceleration in speed or decrease. It is also much like a stop sign, you would make a full stop when you see it.
Answer:
I) box plot
Step-by-step explanation:
A box plot is formed by using the five-number summary. This summary includes:
Minimum; maximum; Q1 (first quartile); Q2 (median); Q3 (third quartile).
The median of the data will be the vertical line inside the box. Since it specifically shows the median, a box plot is the best choice.