To answer this question, you will find the number of kilometers she ran per hour. This is called the unit rate. To get the unit rate, you will divide the number of kilometers by the number of hours, so 25/3. The answer is 8 1/3 kilometers per hour. This number falls between the whole numbers 8 and 9. I will describe to you how to create a visual model to show this. If you draw a long bar and break it into 25 equal sections. Take 24 of these groups and circle 3 groups of 8 to show the 8 km. Take the last group and break it into 3 equal sections as well (creating groups the size of 1/3). One of these goes with the group of 8 you got when you broke the whole sections into groups of three creating the mixed number 8 1/3 kilometers. This shows you modeling the 25 km broken into 3 equal sized groups (which is division).
Answer:
-f(3x - 1) + 2 = -18x² + 12x + 1
Step-by-step explanation:
Step 1: Find f(3x - 1)
f(3x - 1) = 2(3x - 1)² - 1
f(3x - 1) = 2(9x² - 6x + 1) - 1
f(3x - 1) = 18x² - 12x + 2 - 1
f(3x - 1) = 18x² - 12x + 1
Step 2: Plug in f(3x - 1)
-(18x² - 12x + 1) + 2
Step 3: Evaluate
-18x² + 12x - 1 + 2
-f(3x - 1) + 2 = -18x² + 12x + 1
ANSWER
No solution
EXPLANATION
We want to find the number of solutions for
Add -6 to both sides.
Square both sides
Solve for x.
Substitute back into the equation.
This is not true.
The equation has no solution
9514 1404 393
Answer:
21 September
Step-by-step explanation:
Since Alicia is 12 days older, her birthday was 12 days before October 3rd. If we think of October 3rd as equivalent to September 33rd, then 12 days previous is the 33 -12 = 21st day of September.
Alicia's birthday is September 21st.
So three consecutive integers 2k,2(k+1),2(k+2)
there sum will be
2k+2(k+1)+2(k+2)
2k+2k+2+2k+4
6k+6
so setting the inequality
102<6k+6<116
subtracting 6 from all sides
96<6k<110
16<k<18.3333
since k is an integer
the only integers between 16 and 18.3
are 17 and 18
so
when k=17
2(17),2(17+1),2(17+2)
34,36,38
when k=18
2(18),2(18+1),2(18+2)
36,38,40
so to check are soultion we substitute
34+36+38=108 which is between 102 and 116
36+38+40=114 which is between 102 and 116
so our soultion is correct
the final answer will be
{{36,38,40},{38,40,42}}