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3 years ago

Find the x-intercepts for the quadratic function y= -1/2(x+3)^2 +4

Mathematics

1 answer:

irina1246 [14]3 years ago

8 0

Answer:

x= -3 +√2 ≈ -0.1716, and x = - 3 -2√2 ≈ -5.8284

Step-by-step explanation:

y= -1/2(x+3)² +4

For x -intercept, y = 0.

0 = - 1/2(x+3)² + 4 /*(-2)

0 = (x+3)² - 8

(x+3)² = 8

√(x+3)² = +/-√8

x+3 = +/-√8

x = - 3+/- 2√2

x= -3 +√2 ≈ -0.1716, and x = - 3-2√2 ≈ -5.8284

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2 years ago

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Step-by-step explanation:

4u + 8v = -3u + 2v

Solving 4u + 8v = -3u + 2v

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '3u' to each side of the equation. 4u + 3u + 8v = -3u + 3u + 2v

Combine like terms: 4u + 3u = 7u 7u + 8v = -3u + 3u + 2v

Combine like terms: -3u + 3u = 0 7u + 8v = 0 + 2v 7u + 8v = 2v

Add '-8v' to each side of the equation. 7u + 8v + -8v = 2v + -8v

Combine like terms: 8v + -8v = 0 7u + 0 = 2v + -8v 7u = 2v + -8v

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