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zaharov [31]
3 years ago
7

5x - 9y = -13 -2x + 3y = 4

Mathematics
1 answer:
vampirchik [111]3 years ago
4 0

Can you explain more? if your looking for the slope of both it is 5/9 for the fist one and 2/3 for the second. If your looking for y and x -intercept for the first one x intercepts at (-2,0) and y intercepts at (0, 4/3) and, for the second one x intercepts at ( -13/5, 0) and y intercepts at (0, 13/9)

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Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an
Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as V=g(x), where g(x)=x(6-2x)(8-2x) and 0\le x\le3.

Expand the function to obtain:

g(x)=4x^3-28x^2+48x

Differentiate  wrt  x to obtain:

g'(x)=12x^2-56x+48

To find the point where the maximum value occurs, we solve

g'(x)=0

\implies 12x^2-56x+48=0

\implies x=1.13,x=3.54

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

g''(x)=24x-56, g''(1.13)=24(1.13)-56=-28.88\:

This means the maximum volume occurs at x=1.13.

Substitute x=1.13 into g(x)=x(6-2x)(8-2x) to get the maximum volume.

g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0
3 years ago
Plz help will give brainliest need this asap
Ber [7]

Answer:

plz help and this is fro khan academy if it helps!

Hold on, our servers are swamped. Wait for your answer to fully load.

Step-by-step explanation:

plz help and this is fro khan academy if it helps!

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5 0
2 years ago
Which savings account can a financial institution end?
nataly862011 [7]
<span>The correct answer is 'callable certificate of deposit’. Financial institutions can recall these before they reach maturity. This avoids financial institutions having to pay more if interest rates go down.</span>
7 0
3 years ago
Read 2 more answers
What is the Contra Positive to: If a figure is a Pentagon then it has 5 sides?​
aleksandrvk [35]

Answer:

if \: your \: paradox \: is \: true \\  \: then \: you \: are \: wrong

7 0
3 years ago
The question is:
saul85 [17]
f(x) = \sqrt{x+1} \\ y = \sqrt{x+1} \ or \ y^2 = x+1 \ or \ x = y^2 - 1 \\ Therefore, \ f^{-1}(x)=x^2 - 1

(fof^{-1})(a) = f(f^{-1}(a))=f(a^2-1) \\ =\sqrt{a^2-1+1}=\sqrt{a^2}=a \\  \\ (f^{-1}of)(a)=f^{-1}(f(a))=f^{-1}(\sqrt{a+1})= \\ (\sqrt{a+1})^2-1 = a+1-1 = a

Therefore, (fof^{-1})(a) = (f^{-1}of)(a) = a

8 0
2 years ago
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