Hello:
x^5 – x^4 + x^2 =x^2(x^3 - x^2 +1)
(u/v)(x)= x^2(x^3 - x^2 +1)/(-x^2)
(u/v)(x)= - (x^3 - x^2 +1) = -x^3+x^2-1 ( x : no zero)

<em>Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.</em>
Answer:
The option of 6 minutes with 8 tickets given more time for the money.
Step-by-step explanation:
Which one gives you more time for your money?
We have to find the time per ticket, which is the number of minutes divided by the number of tickets.
6 minutes: 8 tickets
6/8 = 0.(60/8) = 0.75 minutes per ticket.
8 minutes:12 tickets
8/12 = 2/3 = 0.(20/3) = 0.667 minutes per ticket.
So the option of 6 minutes with 8 tickets given more time for the money.
Answer:
1. One valuable information NASA learnt from the sample of olivine is that some parts of Mars had been dry over a long period of time.
2. The two materials are:
i. Oxygen supply.
ii. Air temperature and pressure regulation.
Step-by-step explanation:
NASA went on a research mission on mars and observed the Nansen crater, and discovered the olivine in the crater. It was learnt from the sample of olivine that parts of Mars had been dry over a long period of time.
2. The Personal Life Support System is a part of the suit used by astronauts to create an artificial habitat condition for their body system. This suit contains some materials that preserve their lives in space. The major materials in the suit are; oxygen (for breathing purpose) and air temperature and pressure regulation.
Answer:
The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle
The Leg Rule (or Leg geometric mean theorem) relates the length of each leg of a right triangle with the segments projected by them on the hypotenuse.
Step-by-step explanation:
The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse. Notice the triangle used with this rule. The leg of a right triangle is the mean proportional between the hypotenuse and the projection of the leg on the hypotenuse.