Answer: x = 10
Step-by-step explanation:
(
4
x
−
5
)
=
7
(
x
−
5
)
Simplify 7
(
x
−
5
)
.
4
x
−
5
=
7
x
−
35
Move all terms containing x to the left side of the equation.
−
3
x
−
5
=
−
35
Move all terms not containing x to the right side of the equation.
−
3
x
=
−
30
Divide each term by −
3 and simplify.
x
=
10
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Compound percentage reduction can be calculated by multiplying the initial number by (1-x)^t where x is the percentage reduction (/100, i.e. 1% reduction is 0.01), and t is the number of times it has reduced.
So:
a)

Where t is the number of weeks.
We can then just substitute in to work out the final pressure:
b) p = 45*0.94^6 =
31psi
<span> all of our square numbers from 1 to 80 are 1, 4, 9, 16, 25, 36, 49, 64. </span>
Given the stated equation we know that that quadratic formula has 2 as its degree. This meats it has 2 roots. A linear equation has a degree of 1. A linear equation has 1 root. To know if they intersect, the must have one root in common. To know this, solve the two equation simultaneously. If they result to an answer then they intersect.