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.
The answer is 5x-5that is the answer
Answer:
B. The original purchase total must be at most to $44 before the discounts are applied.
Step-by-step explanation:
Solve the inequality by adding $10, then dividing by 0.8.
0.8x -$10 ≤ $25.20
0.8x ≤ $35.20 . . . . . . . . add $10
x ≤ $35.20/0.8 . . . . . . . divide by 0.8
x ≤ $44 . . . . . . . . . the before-discount purchase must be at most $44
Answer:
1/5
Step-by-step explanation:
To find what fraction of the total price the battery is, we need to find out how much the battery alone is first.
Since the battery and torch together are £2.50 and the torch is £2.00, we can find the price of the battery by subtracting the total price to the price of the torch.
Battery Price = £2.50 - £2.00
Battery Price = £0.50
The fraction value of the torch is:
2.00 of 2.50 = 4/5
That then leaves us with:
0.50 of 2.50 = 1/5
To check we need to add the two fractions together.
1/5 + 4/5 = 5/5 or 1
