Answer: 
Step-by-step explanation:
<h3>
The missing question is: "What is the Functions formula A(t)=?"</h3><h2 />
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
According to the data given in the exercise, you know that:
- 
represents the area to paint the Hiros' romm as a function of time.
- The rate he painted the room was 8 square meters per hour.
- The area left to paint after 3 hours was 28 m².
Therefore, based on this, you can idenfity that:
1. The slope of the line is:
2. One of the point on the line is:
So you must substitute the slope and the coordinates of that point into and then solve for "b" in order to find its value:
Therefore, you can determine that the function is:
Answer:
(3x - 4)(8x - 3)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 24 × 12 and sum = - 41
The required factors are - 32 and - 9
Use these factors to split the x- term
24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )
= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term
= (3x - 4)(8x - 3) ← in factored form
Answer:
All in all, Jonathan's piggy bank contains 100 coins. Among these coins, only 50 are one-dollar coins. Therefore, the theoretical probability of picking one-dollar coin from the piggy bank is equal to 50/100 or 1/2.
Similarly, from the experiment, 20 coins were picked and among these there are 12 one-dollar coins. The answer to the second question is therefore 12/20 or 3/5.
Step-by-step explanation:
If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.
317 is the answer you are looking for.
