Subtract sqrt(3) to both sides so that the equation becomes -3x^2 + 7x + 2 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [-b ± √(b^2 -4ac) ] / (2a)
x = [ -7 ± √((7)^2 - 4(-3)(2)) ] / ( 2(-3) )
x = [-7 ± √(49 - (-24) ) ] / ( -6 )
x = [-7 ± √(73) ] / ( -6)
x = [-7 ± sqrt(73) ] / ( -6 )
x = 7/6 ± -sqrt(73)/6
The answers are 7/6 + sqrt(73)/6 and 7/6 - sqrt(73)/6.
Answer:
About 4 minutes and 3 seconds
Step-by-step explanation:
If I have 55 invitations to be created in four hours.
4 hours × 60 =240 minutes
240/55= 4.36 minutes
So if I spend 4 minutes and 3 seconds on an invitation, I should be able to fill the order.
F(x) represents how many pages in total Antonia has read, while x represents the number of days.
Answer:
true
Step-by-step explanation:
all equations in the form of y=mx+b is linear
<h2><em>If you put and label the three points in a line, you will see that RS + ST = RT.
</em></h2><h2><em>
</em></h2><h2><em>Then you only need to substitue with the expressions given for RS and ST to find RT.
</em></h2><h2><em>
</em></h2><h2><em>RT = x +1 + 2x - 2 = 3x - 1
</em></h2><h2><em>
</em></h2><h2><em>Also, RT = 5x - 5
</em></h2><h2><em>
</em></h2><h2><em>Then, 3x - 1 = 5x - 5
</em></h2><h2><em>
</em></h2><h2><em>5x - 3x = 5 - 1
</em></h2><h2><em>
</em></h2><h2><em>2x = 4
</em></h2><h2><em>
</em></h2><h2><em>x = 4/2 = 2
</em></h2><h2><em>
</em></h2><h2><u><em>X=2</em></u></h2>