Answer:
The correct options are C and D
Only multiplication by a negative number and division by a negative number changes the inequality sign
Explanation:
Consider the inequality:
This is clearly true that 5 is greater than 2
adding a positive number on both sides would not change the inequality sign, because:
6 is truly greater than 3
Same thing goes with subtracting a negative number, it won't change the inequality sign.
Multiplying by a negative number though,
This is NOT TRUE, because -10 is less than -4, and hence, we change the inequality sign as
Division by a negative number also changes the inequality sign.
In conclusion, only multtplication by a negative number and division by a negative number changes the inequality sign.
Answer:
It will take 4.71 hours to travel a distance of 221.43 miles
Step-by-step explanation:
Given
Distance covered in time 7.99 hours is 375.32 miles.
Now we know that speed is equal to distance per unit time.
Therefore,
Which is the constant speed, hence now time taken for a distance of 221.43 miles will be
Therefore, the time taken to cover 221.43 miles is 4.71 hours.
2 grams would be the answer
Buying price: $75,300
Selling price: $80,250
You want to find out how much more the selling price was when compared to the buying price.
To find the difference in prices, simply subtract the selling price with the buying price.
$80,250 (buying price) - $75,300 (selling price) = $4,950 (price difference)
The selling price is greater than the buying price of the house by $4,950
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)