Question

2. Solve the following system of equations.

Answer 1

Answer:

Cited by 3 — —1.4 p F, ~ +~~• 3*,7 38 4.0 7 h m 0 16 44.20 17 25.10 —0.7 3326~7 ... O—1.2 —1.4 F ~ ,F~ ~ 7.8 38 26.6 m ~ .8 ~5 2~5 44;65 26 2.95 h -4

Step-by-step explanation:i know

Answer 2

Answer:

(2.42,-7.4) and (-1.58, 5.9)

Explanation:

• f(x) = 2x² – 5x– 7

• g(x) = -4x² + 16

Solve algebraically:

⇒ f(x) = g(x)

⇒ 2x² – 5x– 7 = -4x² + 16

⇒ 2x² - 5x - 7 + 4x² - 16 = 0

⇒ 6x² -5x -23 = 0

Now use the quadratic function:  $\boxed{ \sf x = \dfrac{-b\pm\sqrt{b^2 - 4ac} }{2a}}$

Identify : a = 6, b = -5, c = -23

Solving Step Wise:

$\rightarrow \sf x = \dfrac{-(-5)\pm\sqrt{(-5)^2 - 4(6)(-2)} }{2(6)} \ = \ \dfrac{5\pm\sqrt{577} }{12} \ = \ 2.42, -1.58$

Solve for y : 2(2.42)² - 5(2.42) -7  and  2(-1.58)² - 5(-1.58) - 7  = -7.4, 5.9

Coordinates: (2.42,-7.4) and (-1.58, 5.9)