0.3 then 0.13 then 0.19 then 0.31
have a nice day ;)
Completing the square has us breaking rules of solving equations and factoring out the greatest common factor, but it is what it is! The first step is to make sure that the coefficient on the x^2 term is a 1 and it is so we are good there. Now subtract 9 from both sides to get x^2 + 16x = -9. Complete the square on the left side by taking half of the linear term (16x) which is 8 and then squaring it to get 64. That's what is added to both sides. Now it looks like this:
x^2 + 16x + 64 = -9 + 64. If you were to write it in vertex form it would look like this: (x+8)^2 - 55 = 0. Now you can use this to plot the vertex of a parabola if you want to: it sits at (-8, -55)
You get the hypothenuse by doing √a²+b² = c
So....
Square both terms
x² + (3x+3)² = 625
x² + 9x² + 18x + 9 - 625 = 0
10x² + 18x - 616 = 0
x₁,₂ = (-b±√Δ)/2a
Δ = b²-4ac
You call a 10, b 18 and c -616
x1,2 = (-18±√18²-4*10*-616)/2*10
x1,2 = (-18±√324+24640)/20
x1,2 = (-18±√24964)/20
x1,2 = (-18<span>±158)/20
x1 = -18+158/20 = 140/20 = 7
x2 = (-18-158)/20 = -176/20 = -44/5
Pick the first solution
So one leg is 7 and the other is 3(7+1) = 3(8) = 24
Let's verify </span>√24²+7² = √576+49 = √625 = 25
Well I don't know, and you forgot to give me any choices or suggestions.
So I'll have to calculate it. You can watch if you feel like it.
You said 5 - 4x = -3
Subtract 5 from each side: - 4x = -8
Divide each side by -4 : x = 2
Answer:
The total amount without tax is $141.57
Step-by-step explanation:
Since the coupon is 10% off, they would only have to pay 90% of what they would before (this is before tax). To find out the total after the coupon you would find 90% of 157.30. (This is the longer but better explainable/showable way)
157.30 / 100 = 1.573 (this is 1%)
1.573 * 90 = 141.57
Therefore the answer is $141.57