Answer:
16 = l
4 = w
Step-by-step explanation:
{64 = wl
{40 = 2w + 2l
{l = 8 + 2w
64 = w[8 + 2w] ↷
-64 + 8w + 2w² ↷
[2w² - 8w] + [16w - 64]
2w[w - 4] 16[w - 4]
[w - 4][2w + 16] = 0
↑
This is the expression we want because when we talk about dimensions, we want NON-NEGATIVE numbers. The other expression results in -8 = w, and we do not want that; this expression gives us a solution of 4 = w, and THIS is exactly what we want. Anyway, you plug "4" back into the system of equations and you will get a length of 16 centimetres.
I am joyous to assist you anytime.
Answer:
-2, and 3
Step-by-step explanation:
-x² +x +6 = 0 is the same as
x²-x-6=0
but, x² -Sx+P=0
think what 2 numbers have the sum =1 and product = -6 that will be -2 and 3 witchh are your zeros
or you can use the graph or quadratic formula to solve
<h3>Answer:</h3>
- x = 5/6 in ≈ 0.83 in
- v = 125/108 in³ ≈ 1.16 in³
<h3>Explanation:</h3>
The width of the cardboard (in inches) will be 4x, and its length will be (5-4x) so the perimeter adds up to 10 in. Then the volume is the product of the area of the open ends (x²) and the length (5-4x).
The graphing calculator shows that volume is maximized when the value of x is 0.833, or 5/6 inch. The corresponding length is 5-4x = 5/3 inch, so the volume is ...
... v = (5/6)²×(5/3) = 125/108 . . . . in³
The corresponding decimal values of x and volume are ...
... x ≈ 0.83 in
... v ≈ 1.16 in³
F(x)=3x2-11
f(5)=6-11
5f=-5
5f/5=-5/5
f=-1
In average, your monthly income is $2,557.91
<h3>How much did you earn per month, on average?</h3>
We know that in the year you win a total of $30,694.95, and we want to know how much you win per month.
We know that in a year there are 12 months. To get how much you win, in average, in one of these months, you need to take the quotient between the total amount that you earn in one year, and the number of months in a year.
It gives:
N = $30,694.95/12 = $2,557.91
In average, your monthly income is $2,557.91
If you want to learn more about quotients:
brainly.com/question/629998
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