The required steps are
<em>2x^2 + 12x – 3 = 0. </em>
<em>2x2 + 12x = 3</em>
<em>2(x^2+6x) = 3</em>
<em>2[(x+3)^2 - 9] = 3</em>
<h3>Completing the square method</h3>
Quadratic equations are equations that has a leading degree of 2
Given the equation below;
2x^2 + 12x – 3 = 0.
Add 3 to both sides
2x2 + 12x = 3
Factor out 2
2(x^2+6x) = 3
Complete the square
2(x^2+6x+3^2-3^2) = 3
2[(x+3)^2 - 9] = 3
This gives the required steps to solve the equation
Learn more on completing the square here: brainly.com/question/13981588
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Hi there!
We can look at each function, f(x) and g(x), to determine which is exponential.
Use slope formula: m = y2-y1/x2-x1
f(x) starts off with a slope at about $1800/year, but becomes about $1100/year.
g(x) starts off with a slope of about $1500/year, but becomes about $1874/year.
Thus, g(x) is exponential, because g(x)'s slope is increasing across the interval.
Answer:
option 4
Step-by-step explanation:
using the sine/ cosine ratios in the right triangle and the exact values
cos30° = , sin30° = , then
cos30° = = = ( cross- multiply )
2x = 20 × = 20 × 3 = 60 ( divide both sides by 2 )
x = 30
and
sin30° = = = ( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
Hello : let A(2,55) B(4,91)<span>
the slope is : (YB - YA)/(XB -XA)
(91-55)/(4-2) = 36/2 =18
an equation is : y-55 = 18(x-2)</span>
<span> y-intercept when : x = 0 : y - 55 = 18(0-2)
y-55 = -36
y = 55-36 = 19</span>