Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
Answer:
11 6/9
Step-by-step explanation:
Daniel works in a market
He has large bags of potatoes that weighs 26 1/4
Daniel is going to sell them in smaller bags 9/4 pounds each
Therefore the number of smaller bags of potatoes in which Daniel would have filled can be calculated as follows
= 26 1/4 ÷ 9/4
= 105/4 ÷ 9/4
= 105/4 × 4/9
= 105/9
= 11 6/9
Explanation:
The first step is to figure out what the equation is. When unconventional math symbols are used, and when there are no grouping symbols identifying operands, that can be the most difficult step. Here, we think the equation is supposed to be ...
![\sqrt[3]{x+1}-2=0](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%7D-2%3D0)
It usually works well in radical equations to isolate the radical. Here that would mean adding 2 to both sides of the equation, to undo the subtraction of 2.
![\sqrt[3]{x+1}=2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%7D%3D2)
Now, it is convenient to raise both sides of the equation to the 3rd power.
Finally, we can isolate the variable by undoing the addition of 1. We accomplish that by adding -1 to both sides of the equation.
The equation is solved. The solution is x = 7.
Answer:
Lets name the first set A and the second one B.
<u>The union:</u>
- A∪B = {-7,0}∪{-3,5} = {-7, -3, 0, 5}
<u>The intersection:</u>
- A∩B = {-7,0}∩{-3,5} = ∅ as no common elements
