Answer:
x²-4x-12
Step-by-step explanation:
multiply each term in the first parentheses by each term in the second parentheses
x*x+2x-6x-6*2
calculate the product
x²+2x-6x-12
collect like terms
x²-4x-12
Answer:
C. Slope is 2
Step-by-step explanation:
Since this equation is written in the y=mx+b equation, 2 would be the slope, because any number that comes before x (AKA "m") is always the slope. For example, if you were trying to find the slope for the equation y=4x+19, 4 would be the slope.
I thinks it is matching pairs for random assignment on gender, age, & income status but I’m not sure
What we know:
12 hour period from 8pm to 8am
temperature dropped from 8°F to 16°F from 8pm to 8am
We need to find temperature at 4 am.
We can start by setting up points:
8pm is are starting point with 8°F, we can express it as (0,8), 0 represents initial time from 0 to 12 hour span.
8am is the ending point with 16°F, we can express it as (12,16), 12 represents the end time of 0 to 12 hours span.
We will use these points to find slope.
slope=m=(16-8)/(12-0)=8/12=2/3
Now, we can set up an expression to find any temperature at a specific time. Aslo, x represents the hours not the the specific time of 4am. We will use 8 since 4am is the 8th hour of the 12 hour span. Using slope of 2/3 and the y intercept of (0,8) since we were already at 8°F at the initial time of 0 we have the function:
f(x)=2/3x+8
f(8)=2/3(8)+8= 40/3≈13.3°
