Answer:
Correct answer: x₁ = 1 / √3 = √3 / 3 or x₂ = - 1 / √3 = - √3 / 3
Step-by-step explanation:
Given:
3 x⁴ + 14 x² - 5 = 0 biquadratic equation
this equation is solved by a shift x² = t and get:
3 t² + 14 t - 5 = 0
t₁₂ = (-14 ± √14² - 4 · 3 · 5) / 2 · 3 = (-14 ± √196 + 60) / 6
t₁₂ = (-14 ± √256) / 6 = (-14 ± 16) / 6
t₁ = -5 or t₂ = 1 / 3
the solution t₁ = -5 is not accepted because it cannot be x² = -5
we accepted t₂ = 1 / 3
x² = 1 / 3 ⇒
x₁ = 1 / √3 = √3 / 3 or x₂ = - 1 / √3 = - √3 / 3
God is with you!!!
The test score for a class are shown. What is the average test score? 79,80,92,92,81,100,88,98,71,100,91,90
Oksanka [162]
Answer:
The average score is equal to 88.5
Step-by-step explanation:
we know that
An average test score is the sum of all the scores on an assessment divided by the number of test-takers.
so
The sum is equal to
![Sum=[79+80+92+92+81+100+88+98+71+100+91+90]=1,062](https://tex.z-dn.net/?f=Sum%3D%5B79%2B80%2B92%2B92%2B81%2B100%2B88%2B98%2B71%2B100%2B91%2B90%5D%3D1%2C062)
The number of test-takers is n=12
The average score is equal to
substitute
Answer: The answer would be- Marla drove 1.9 hours.
Step-by-step explanation: This is pretty simple, all you do istake the total numberof hours which is 3.8 then divide it into 2 because there is 2 people. After you divide 3.8 and 2 you shoud come up with the answer1.9.
Answer:
87.96 meters to the nearest cm.
Step-by-step explanation:
First find the circumference of the wheel
= 2 π r
= 2 π * 28
= 175.929 cm.
So one revolution is equivalent to travelling 175.929 cm.
50 revolutions = 175.929 * 50
= 8796.46 cm.
= 8796.46 / 100
= 87.96 m (answer).
