Answer:
0.25 laps per minute
Step-by-step explanation:
As suggested by the "laps per minute", the question is asking how many laps are ran each minute. Laps per minute is synonymous for laps/minutes. Thus, 2 laps in 8 minutes is 0.25 laps per minute.
The factorization of A is y = (x - 8)(x + 7).
The factorization of B is y = (x + 1)(x - 4)(x - 5)
In order to find these, you must first find where each graph crosses the x-axis. In the first problem it does so at 8 and -7. In order to find the correct parenthesis for those, you need to write it out as a statement and then solve for 0.
x = 8 ---> subtract 8 from both sides
x - 8 = 0
This means we use (x - 8) in our factorization.
You then need to repeat the process until you have all the pieces. In the second problem, there will be 3 instead of 2 since it crosses the axis 3 times.
Answer:
a^2 + 2a + 2
Step-by-step explanation:
replace x with (a +1) everywhere in the equation
f(a+1) = (a+1)^2 + 1
➡
a^2 + 2a + 1 + 1
The 7-digit number we are looking for is 8,92a,bcd
"The value of the thousands digit is double that of the ten thousands digit."
The value of the ten thousands digit is 2. Thus the value of the thousands digit is 4.
The 7-digit number we are looking for is 8,924,bcd
"The sum of all its digits is 24."
8+9+2+4+b+c+d = 23 + b+ c+ d
Thus b+c+d = 1
The digits to the tens and hundreds places are the least and same value.
These two digits (b and c) must be 0, because b+c+d = 1
That means that the digit "d" must be equal to 1.
The 7-digit number we are looking for is 8,924,001
This number is the only number that satisfies all the conditions stated in the question.
Answer:
prop they're constant inchangeb
Step-by-step explanation:
