Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
Is the velocity is <em>positive </em>(v>0), then our object will be moving <em>forwards</em>.
And if the velocity is negative (v<0), then our object will be moving <em>backwards</em>.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
By substitution:
Solve. To do so, we can first solve for <em>t</em> and then test values. By factoring:
Zero Product Property:
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
So, the (only) interval for which <em>v</em> is <0 is the second interval: 1<t<4.
Hence, our answer is A.
Answer:
x=15
Step-by-step explanation:
Supplementary angles are two angles that equal the sum of 180 degrees.
Take 4x and 8x and make it equal to 180
4x+8x=180
Add like terms:
12x=180
Divide:
x=15
To check:
Plug in 15 to both expressions
4(15)=60
8(15)=120
Add them up and they equal 180 degrees
Hope this helps! :)
Are you looking for the number of cans you and your friend each collected? If yes, here is the solution:
Let x be the number of cans.
4x + 5x = 180
9x = 180
9x/9 = 180/9 (divide both sides of the equation by 9)
x = 20
Now, substitute the values:
4(20) + 5(20) = 180
80 + 100 = 180
180 = 180
Therefore, you collected 80 cans and your friend collected 100 cans.
Answer:
31
Step-by-step explanation:
it said 22 2's , so 22 + 9
and 0,1,3,4,5,6,7,8,9 is 9 numbers
If i'm understanding this question correctly, i believe that it's 2.
2*9=6*3
