Photomath app life saver :)
Answer:
I do not agree, because x=4 is an extraneous
Step-by-step explanation:
First, to solve the equation, you subtract 3 from both sides, then square both sides, subtract one from both sides, and finally divide by 2 on both sides. This indeed gets us x=4, but we also need to check if it's an extraneous solution. To do that we simply plug in x=4 into the original equation. sqrt( 2(4) + 1 ) + 3 = 0. When we do this, we end up with ±3 + 3 = 0. I do not agree, because we don't know if the sqrt(9) is -3 or 3.
Answer:
$326.00
Step-by-step explanation:
The marked price plus the tax gives the final price.
final price = (marked price) + 0.08 × (marked price)
final price = 1.08 × (marked price) . . . . . factor out marked price
(final price)/1.08 = marked price . . . . . . . divide by the multiplying factor
$352.08/1.08 = marked price = $326
The marked price of the desk was $326.
Answer:
x = 5
Step-by-step explanation:
A quadratic equation:
f(x) = y = a*x^2 + b*x + c
Has a vertex in a point:
(h, k) such that:
h = -b/2a
and:
k = f(-b/2a)
And the axis of symmetry (this is the line that cuts the graph in two halves) is:
x = h.
In this case, the vertex is (5, -6)
Then the axis of symmetry is:
x = 5.
