Answer: 48/10
Step-by-step explanation: 65/10 - 17/10 = 48/10 also known as 4 8/10
The <u>correct answer</u> is:
As x→-∞, y→-3.
As x→∞, y→∞.
Explanation:
As our values of x get further into the negative numbers, the value of 2ˣ will approach 0. This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.
This will make the value of the function 0-3=-3.
As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well. Since it continues to grow exponentially, we say the value approaches ∞.
4a-13=19 add 13 to both sides
4a=32 divide by 4 on both sides
a=8
Answer:
259200 seconds
The conversion factor from days to seconds is 86400, which means that 1 day is equal to 86400 seconds:
1 d = 86400 s
To convert 3 days into seconds we have to multiply 3 by the conversion factor in order to get the time amount from days to seconds. We can also form a simple proportion to calculate the result:
1 d → 86400 s
3 d → T(s)
Solve the above proportion to obtain the time T in seconds:
T(s) = 3 d × 86400 s
T(s) = 259200 s
The final result is:
3 d → 259200 s
We conclude that 3 days is equivalent to 259200 seconds:
3 days = 259200 seconds
<em><u>Hope this helps :)</u></em>
Answer:
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
z = number of quarters
Total worth of the coins = $41.45
Total number of coins = 361
x + y + z = 361 (1)
dime = $0.1,
nickel = $0.05
quarter = $0.25
0.05x + 0.1y + 0.25z = 41.45 (2)
twice as many dimes as quarters.
y = 2z
Substitute y = 2z into (1) and (2)
x + 2z + z = 361
0.05x + 0.1(2z) + 0.25z = 41.45
x + 3z = 361
0.05x + 0.2z + 0.25z = 41.45
x + 3z = 361 (3)
0.05x + 0.45z = 41.45 (4)
Multiply (4) by 20
x + 3z = 361 (3)
x + 9z = 829 (5)
Subtract (3) from (5)
9z - 3z = 829 - 361
6z = 468
Divide both sides by 6
z = 468 / 6
= 78
z= 78
Recall,
y = 2z
= 2(78)
= 156
y = 156
Substitute the value of y and z into
x + y + z = 361
x + 156 + 78 = 361
x + 234 = 361
x = 361 - 234
= 127
x= 127
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
