Direct variation is y = kx
Inverse variation is y = k/y
if z varies directly with x, then the equation would be z = kx
if z varies inversely with y^2 then the equation would be z = k/y^2. Combining, these two, we have z = kx/y^2
We use the first set of values to find the constant k:
x = 2, y = 5, z = 8:
8 = 2x/25, k = 100. Now we use the second set of values to find z:
x = 4, y = 9, k = 100 and z is unknown:
z = (4X100)/9^2
z = 400/81--> this is your final final answer.
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Answer:
x=105⁰
Step-by-step explanation:
42+x=147⁰
x=147-42=105⁰
Well first you can do the problem. So take 60 divided by 5.7. When it is done it will come out to about 10.5263 which is a irrational number. So yes the quotient will be larger than 10.
Hope I helped!
Answer:
- 3.5229
Step-by-step explanation:
Using the rules of logarithms
logx + logy = log(xy)
= n
Given
3 ≈ 0.4771, then
0.0003
= (3 × 
)
= 3 +
≈ 0.4771 - 4
≈ - 3.5229 ( to 4 dec. places )
Answer:
x = (4 + 2√34)/10, x = (4 - 2√34)/10
Step-by-step explanation:
5x² - 4x = 6
Subtract: 5x² - 4x - 6 = 0
Quadratic formula: x = (4 ± √(16 - 4*5*(-6)))/10
Multiply: x = (4 ± √(16 + 120))/10
Simplify: x = (4 ± 2√34)/10
