Answer:
1/6 + 4/6 = 5/6
Step-by-step explanation:
I hope this helped
Answer:
z= 5/14
Step-by-step explanation:
Let's solve your equation step-by-step.
5−2(3z+2)=−4(1−2z)
Step 1: Simplify both sides of the equation.
5−2(3z+2)=−4(1−2z)
5+(−2)(3z)+(−2)(2)=(−4)(1)+(−4)(−2z)(Distribute)
5+−6z+−4=−4+8z
(−6z)+(5+−4)=8z−4(Combine Like Terms)
−6z+1=8z−4
−6z+1=8z−4
Step 2: Subtract 8z from both sides.
−6z+1−8z=8z−4−8z
−14z+1=−4
Step 3: Subtract 1 from both sides.
−14z+1−1=−4−1
−14z=−5
Step 4: Divide both sides by -14.
−14z/ = -5
−14 -14
=5/14
z= 5/14
Answer:
Balance of savings account at the end of 3rd month = $753.13
Step-by-step explanation:
Balance at the end of 1st month :
Principal = $250 , Time = 1 month , n = 12 , APR = 2.5%
Balance at the end of second month :
Principal = 250 + 250.52
= 500.52
Time = 1 month, APR = 2.5%, n = 12
Balance at the end of third month :
Principal = 250 + 501.56
= 751.56
Time = 1 month, APR = 2.5%, n = 12
Hence, Balance of savings account at the end of 3rd month = $753.13
The quadratic model is given by:
y = ax2 + bx + c
We evaluate three points to find the values of a, b and c.
We have then:
For (0, 200):
200 = a (0) 2 + b (0) + c
c = 200
For (0.5, 195):
195 = a * (0.5) ^ 2 + b * (0.5) +200
195-200 = a * (0.5) ^ 2 + b * (0.5)
-5 = 0.25a + 0.5b
For (1, 185):
185 = a * (1) ^ 2 + b * (1) +200
185-200 = a * (1) ^ 2 + b * (1)
-15 = a + b
Solving the system:
-5 = 0.25a + 0.5b
-15 = a + b
We have the following results:
a = -10
b = -5
Substituting:
y = -10x ^ 2 - 5x + 200
For x = 3 we have:
y = -10 (3) ^ 2 - 5 (3) + 200
y = - 90 - 15 + 200
y = 95
Answer:
the height at 3 seconds is:
y = 95 feet
Answer:
The lower half
Step-by-step explanation:
