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GarryVolchara [31]
3 years ago
9

If x^2 +2xy -8 = 0, then when x = 4, dy/dx =

Mathematics
2 answers:
Tasya [4]3 years ago
6 0
The correct answer is E, hope I am right!
Katena32 [7]3 years ago
3 0
For simplicity, dy/dx means f'(x);
We have y = ( 8 - x^2 ) / 2x;
Then, y = 4/x - x/2;
So, f'(x) = (4/x - x/2)' = (4/x)' - (x/2)' = -4/(x^2) -1/2 because we use <span> d<span>ifferentiation formulas, such as : (f+g)' = f' + g'; (cf)' = cf'; x'=1; (1/x)' = -1/(x^2);
</span></span>Finally, f'(4) = -4/16 -1/2 = -4/16 - 8/16 = -12/16 = -3/4.
The correct answer is E.
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Set up and solve a system of equations to solve the problem.
NeTakaya

Answer:

The boys club sold 52 bags of hardwood mulch and 84 bags of pine bark mulch

Step-by-step explanation:

Let

x ----> the number of bags of hardwood mulch sold

y ----> the number of bags of pine bark mulch sold

we know that

A local boys club sold 136 bags of mulch and made a total of $400

so

x+y=136 ----> equation A

3.25x+2.75y=400 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

Using a graphing tool

The solution is the point (52,84)

see the attached figure

therefore

The boys club sold 52 bags of hardwood mulch and 84 bags of pine bark mulch

6 0
3 years ago
Evaluate (16+a)+ 6b divided by 3 when a = 2 and b = 3
yawa3891 [41]

Answer:   24

Step-by-step explanation:

Follow PEMDAS. Parentheses: 16+a, which is 18. There are no exponents so move on to multiplication. 6b. B is equal to 3, and 6x3 is 18. Next, division. 18/3 is 6. Now do addition so add together 18+6 which is 24.

4 0
2 years ago
If the area of a circle is 58 square feet, find the circumference. A. 42.5 ft. B. 4.25 ft. C. 22.35 ft. D. 26.99 ft.
PSYCHO15rus [73]

Answer: OPTION D.

Step-by-step explanation:

The formula for calculate the circumference of a circle is:

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The formula for calculate the area of a circle is:

A=r^2\pi

Where <em>r</em> is the radius.

Solve for <em>r</em> from A=r^2\pi to calculate it:

r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft

Subsitute the radius into C=2r\pi. Then:

C=(2)(4.296ft)\pi=26.99ft

3 0
3 years ago
Read 2 more answers
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Radda [10]

Answer:

24

Step-by-step explanation:

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3 years ago
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sveticcg [70]

Answer:

multiply length with breadth which is 34 *42

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2 years ago
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