Answer:
- = 1
Step-by-step explanation:
<h3>Given</h3>
<h3>To find </h3>
- The value of the expression
<h3>Solution</h3>
<u>Let's rewrite the given as:</u>
- <u />
<u>Let the value is m and the expressions under 3rd roots are a and b, then we have </u>
- a = 3√21 + 8, b = 3√21 - 8
- m = ∛a - ∛b
<u>Cube the both sides:</u>
- m³ = (∛a - ∛b)³
- m³ = a - b - 3 + 3
<u>Simplify in bits:</u>
- a - b = 3√21 + 8 - 3√21 + 8 = 16
- ab = (3√21 + 8)(3√21 - 8) = 9*21 - 64 = 125
- ∛ab = ∛125 = 5
<u>So the expression becomes:</u>
- m³ = 16 - 3
- m³ = 16 - 15∛a + 15∛b
- m³ = 16 - 15(∛a - ∛b)
- m³ = 16 - 15m
<u>Solve for m:</u>
- m³ + 15m - 16 = 0
- m³ - 1 + 15m - 15 = 0
- (m - 1)(m² + m + 1) + 15(m - 1) = 0
- (m - 1)(m² + m + 16) = 0
- m - 1 = 0, m² + m + 16 = 0
- m = 1 is the only real root, the quadratic equation has no real roots
The answer is 1
Answer:
domain and range are both all real numbers
Step-by-step explanation:
I graphed f(x) = 20x + 4 and both x and y went on infinitely in both directions
Answer: Rational
Explanation:
Any rational number is of the form P/Q, where P and Q are integers
Keep in mind that Q cannot be zero, but P can be.
In this case, P = -7 and Q = 35
Answer:
y = - x + 4
Step-by-step explanation:
Use point-slope form: y-k = m(x-h) for point (h,k) with slope m
now just plug and chug:
y-4 = -1(x-0)
y-4 = -x
y= -x+4
not sure about what you meant by "solution." Just gonna assume that you were looking for the equation.
Hey there!
Good luck on your assignment and enjoy your day!
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