2 years ago

13. The equation of line l is given as y = 0.6x – 4.

Mathematics

1 answer:

Luden [163]2 years ago

3 0

Answer: 16.6

Step-by-step explanation:

a = slope = 0.6

b = y-intercept = -4

c = x intercept = 20/3. (Set y=0 and solve for x)

So, a+b+3c = 0.6 - 4 + 3*20/3 = 16.6

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Use the quadratic formula to find the solutions to the quadratic equation below x^2-6x-5=0

Sonja [21]

Answer:

$\large\boxed{x=3-\sqrt{14}\ \vee\ x=3+\sqrt{14}}$

Step-by-step explanation:

$x^2-6x-5=0\qquad\text{add 5 to both sides}\\\\x^2-6x=5\\\\x^2-2(x)(3)=5\qquad\text{add}\ 3^2\ \text{to both sides}\\\\x^2-2(x)(3)+3^2=5+3^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-3)^2=5+9\\\\(x-3)^2=14\to x-3=\pm\sqrt{14}\qquad\text{add 3 to both sides}\\\\x=3-\sqrt{14}\ \vee\ x=3+\sqrt{14}$