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3 years ago

The sum of three numbers is 72. One number is two times 10 and another number is three times 10. What is the third number?

Mathematics

2 answers:

noname [10]3 years ago

8 0

The third number is 20

dusya [7]3 years ago

8 0

The third number is 22
Explanation: If you multiply 10 by 2 you get 20 and if you multiply 10 by 3 you get 30. Add those together and you get 50. Then you subtract 50 from 72 and you would get 22... I hoped this helped!

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A company determined that the marginal cost, C' (x )of producing the xth unit of a product is given by C' (x )= x^3- 6x. Find t

Rashid [163]

Answer:

$C(x) = \frac{x^4}{4}-3x^2+3,000$

Step-by-step explanation:

The marginal cost function, C'(x), is the derivate of the cost function, C(x).

Therefore, we can obtain the cost function by finding the integral of the marginal cost function:

$C(x) = \int\ {C'(x)} \, dx \\C(x) = \int\ {(x^3-6x)} \, dx \\C(x) = \frac{1}{4} x^4-3x^2+a$

Where 'a' is a constant and represents fixed costs. If fixed costs are $3,000, the cost function is:

$C(x) = \frac{x^4}{4}-3x^2+3,000$

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3 years ago

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Assoli18 [71]

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3 years ago

One factor of the function f(x) = x3 − 8x2 + 17x − 10 is (x − 5). Describe how to find the x-intercepts and the y-intercept of t

kozerog [31]

Answer:

x-intercepts: (1,0), (2,0), (5,0)

y-intercepts: (0,-10)

Step-by-step explanation:

One factor of the function $f(x) = x^3-8x^2 + 17x-10$ is $(x-5).$

Factor the polynomial in the following way:

$x^3-8x^2 + 17x-10\\ \\=x^3-5x^2-3x^2+15x+2x-10\\ \\=x^2(x-5)-3x(x-5)+2(x-5)\\ \\=(x-5)(x^2-3x+2)$

Now factor the quadratic in brackets:

$x^2-3x+2\\ \\=x^2-2x-x+2\\ \\=x(x-2)-(x-2)\\ \\=(x-2)(x-1)$

Hence,

$f(x)=(x-5)(x-2)(x-1)$

The x-intercepts are points at which y = 0, so

$(x-5)(x-2)(x-1)=0\\ \\x-5=0\ \text{or}\ x-2=0\ \text{or}\ x-1=0\\ \\x=5\ \text{or}\ x=2\ \text{or}\ x=1$

The y-intercepts are points at which x = 0, so

$y=0^3-8\cdot 0^2+17\cdot 0-10=-10$

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mariarad [96]

Answer: If you're talking about hundreds, then its 7.

But if you're talking about hundredths, then its 9

Step-by-step explanation:

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3 years ago

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