Answer:
![\dfrac{-15}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B-15%7D%7B8%7D)
Step-by-step explanation:
<h3>Fraction division:</h3>
![\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B3%7D%7B4%7D%20%5C%20%5Cdiv%20%5Cdfrac%7B-2%7D%7B5%7D)
Use KCF method.
- Keep the first fraction.
- Change division to multiplication
- Flip the second fraction.
![\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}=\dfrac{3}{4}*\dfrac{-5}{2}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B3%7D%7B4%7D%20%5C%20%5Cdiv%20%5Cdfrac%7B-2%7D%7B5%7D%3D%5Cdfrac%7B3%7D%7B4%7D%2A%5Cdfrac%7B-5%7D%7B2%7D)
![\sf = \dfrac{3*(-5)}{4*2}\\\\ =\dfrac{-15}{8}](https://tex.z-dn.net/?f=%5Csf%20%3D%20%5Cdfrac%7B3%2A%28-5%29%7D%7B4%2A2%7D%5C%5C%5C%5C%20%3D%5Cdfrac%7B-15%7D%7B8%7D)
Answer: ![\bold{y=\pm \dfrac{\sqrt{2(x+3)}}{4},\qquad x\neq -3}](https://tex.z-dn.net/?f=%5Cbold%7By%3D%5Cpm%20%5Cdfrac%7B%5Csqrt%7B2%28x%2B3%29%7D%7D%7B4%7D%2C%5Cqquad%20x%5Cneq%20-3%7D)
<u>Step-by-step explanation:</u>
y = 8x² - 3 (Restriction: none - x is All Real Numbers)
The inverse is when you swap the x's and y's and then solve for y
x = 8y² - 3 <em>swapped the x and y</em>
x + 3 = 8y² <em>added 3 to both sides</em>
<em>divided both sides by 8</em>
<em>square rooted both sides</em>
<em>simplified</em>
rationalized the denominator
<em>simplified</em>
<em>simplified</em>
<u>Restriction:</u>
The radical <em>(inside the square root sign)</em> cannot be negative
→ 2(x + 3) ≥ 0
x + 3 ≥ 0 <em>divided both sides by 2</em>
x ≥ -3 <em>subtracted 3 from both sides</em>
Explanation:
Substitute:
3 for x
3 for y
1 for z
x(−y+z)
becomes:
3(−3+1)⇒
3 ⋅ −2 ⇒
−6
Answer:
The answer is D. 380!!!!!