Answer:
x=7 multiplicity of 2
Step-by-step explanation:
14x - 49 = x^2
Subtract x^2 from each side
-x^2 +14x - 49 = x^2-x^2
-x^2 +14x - 49 = 0
Multiply by -1
x^2 -14x +49 =0
What 2 numbers multiply together to give you 49 and add together to give you -14
7*-7 = 49
-7+-7 = -14
(x-7) (x-7) = 0
Using the zero product property
x-7 = 0 x-7 =0
x-7+7= 0+7 x-7+7 =0+7
x =7 x=7
Part (1):
Volume of the rectangular prism can be calculated as follows:
volume = length * width * height
We are given the three dimensions, therefore, all we need to do is substitute in the above equation as follows:
volume = 10 * 6.5 * 8.3
volume = 539.5 cm³
Part (2):
Surface area of rectangular prism an be calculated as follows:
Surface area = 2(length*width) + 2(width*height) + 2(length*height)
Surface area = 2(10*6.5) + 2(6.5*8.3) + 2(10*8.3)
Surface area = 130 + 107.9 + 166
Surface area = 403.9 cm²
Hope this helps :)
Area is 35
perimeter is 24
100y+x=230
150y+x=320
Y being the price per kilogram of steel bar, x being the added delivery fee.
If you were to solve the equaltion it would go x=230-100y by changing the first equation around the replacing that for the x int he second group, so you would get 150y+230-100y=320 or 50y=90 So Y=9/5dollars per kilogram. Or $1.8per kilogram, the delivery fee being $50
