Yes because zeros have no value if they are after a decimal and have no number behind them
The surface area of the composite shape is 1560 square inches
<u>Step-by-step explanation:</u>
The surface area of the top cardboard is,
SA = 5 x area of each side
Because one side is attached with another cardboard box . So while finding the area only 5 sides are calculated.
SA = 5 ( 10 x 10)
= 500 square inches
The surface area of the rectangular prism cardboard,
Given that,
l = 20 in
w =15 in
h = 8 in
A = 2(lw + wh + hl) - 100
We are subtracting 100 because it is the area of one side of the square cardboard box on top of the rectangular prism box .
A = 2(300 + 120 + 160) - 100
= 2(580) - 100
= 1160-100
= 1060 square inches
Total surface area = SA + A
= 500 + 1060
= 1560 square inches
The wording of the second function may be interpreted in several differente ways. These are some:
g(x) = (x^2 +2)(x-8)
g(x)=x^2 + 2(x-8)
g(x) x^2 +2x - 8
I will work with the last one, so my system of equation is:
f(x) = - x +2.5
g(x) = x^2 + 2x - 8
f(x) = g(x) ⇒ - x + 2.5 = x^2 + 2x - 8
x^2 + 3x - 8 - x - 2.5 = 0
x^2 + 3x - 10.5 = 0
Use the quadratic formula to solve for x:
x = [ - 3 +/- √(3^2) - 4(1)(-10.5) ]/2
x = - 5.07 and x = 2.07
<h3>
Answer:</h3>
g(x) = (11/12)x³ +(11/2)x² +(55/12)x -11
<h3>
Step-by-step explanation:</h3>
A polynomial with zero "a" will have (x -a) as a factor. Your 3rd-degree polynomial will have the three factors ...
... f(x) = (x -(-4))·(x -(-3))·(x -1)
This will have a y-intercept of (4·3·(-1)) = -12. In order to move it to -11, we need to vertically scale this function by a factor of 11/12. Then our poynomial is ...
... g(x) = (11/12)(x+4)(x+3)(x-1)
Multiplying this out, you get ...
... g(x) = (11/12)x³ +(11/2)x² +(55/12)x -11
