4x - 2y = 6 → Rewrite in slope-intercept form.
Slope-intercept form : y=mx+b
Where m=slope, b=y-intercept.
So, we have to move "x" to the other side.
So, subtract 4x from both sides.
-2y = -4x + 6
Divide both sides by -2.
y = 2x - 3 → Slope-intercept form :)
~Hope I helped!~
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!!!
9514 1404 393
Answer:
3.88%
Step-by-step explanation:
The probability that 1 is defective and 3 are not (out of four) is ...
P(1 of 4) = 4(0.01)(0.99)^3 ≈ 0.0388 = 3.88%
__
The multiplier of 4 comes from the number of ways that 1 can be chosen from 4.
1/27 = 3^(-3)
3^(3x+6) = 3^(-3)
When bases are the same, all you need to do is set the exponents equal to each other:
3x+6 = -3
3x = -9
x = -3
How many benches are needed for all the students is D