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3 years ago

What is the solution to this equation -13x =25

Mathematics

1 answer:

abruzzese [7]3 years ago

3 0

Answer:

-1 12⁄13

Step-by-step explanation:

-13x = 25 [Divide by -13]

x = -1 12⁄13

13 is your divisor, which will be your denominator, and the numerator is your remainder. Since 13 goes into 25 ONCE, 1 gets multiplied by 13 to get 13, then deduct that from 25 to get your remainder of 12. This is where you start putting the pieces together as a mixed number. Then attach the negative because whenever you divide a positive by a negative, you get a negative:

-25⁄13 = -1 12⁄13

I am joyous to assist you anytime.

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Can somebody please tell me if this is correct or not

valentinak56 [21]

Answer:

I would have done it the same way. Believing it is correct.

Step-by-step explanation:

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3 years ago

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Which of the statements best describe the origin on the coordinate system?

Ad libitum [116K]

Answer:

The point, (0.0). is the ordered pair at the origin.

Step-by-step explanation:

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3 years ago

A retired woman has $280,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and an

ASHA 777 [7]

Answer:

9% fund: $ 210,000

13% fund: $70,000

Step-by-step explanation:

As she wants to have a $28,000 annual return for her $280,000 investment, she is expecting a return rate of 10%:

$r=\dfrac{R}{C}=\dfrac{28,000}{280,000}=0.10$

If we call x the proportion of the capital in the 9% fund, then (1-x) is the proportion of the capital in the 13% fund,and the return of the combination has to be the expected return of 10%:

$0.09x+0.13(1-x)=0.10\\\\0.09x+0.13-0.13x=0.10\\\\-0.04x=0.10-0.13=-0.03\\\\x=\dfrac{0.03}{0.04}=0.75$

Then, we know that 75% of the capital should be invested in the 9% fund and 25% in the 13% fund.

This correspond to a capital of:

9% fund: 0.75*$280,000 = $ 210,000

13% fund: 0.25*$280,000 = $70,000

6 0

4 years ago

Divide by using long division. (x²-x-6) = (x-3)

Fudgin [204]

Answer: x + 2

Step-by-step explanation:

Given the equation to solve by long division :

Divide x² - x - 6 by x - 3

x in the divisor is used to divide the x² in the Dividend to obtain a value of x as the quotient. The quotient value is multiplied by each value in the Dividend and so on.

This steps taken obtain the quotient is clearly shown in the picture attached.

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3 years ago

What is the greatest common factor of the terms of the polynomial 12x^4 - 6x^3 + 9x^2

choli [55]

Answer:

$3x^{2}$ is the greatest common factor of the polynomial.

Step-by-step explanation:

Given:

The polynomial is $12x^{4} - 6x^{3} + 9x^{2}$

In order to determine the greatest common factor of all the terms, we find the greatest common factor of the coefficients separately and greatest common factor of the variables separately.

So, factors of 12 = 1, 2, 3, 4, 6, 12

Factors of 6 = 1, 2, 3, 6

Factors of 9 = 1, 3, 9

Therefore, the greatest common factor among 12, 6, and 9 is 3.

Now, factors of $x^{4}$ = $1, x, x^{2}, x^{3}, x^{4}$