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3 years ago

Solve ax − by = f for y

Mathematics

1 answer:

pashok25 [27]3 years ago

7 0

Ax-by=f
-by=f-ax
y=(f-ax)/-b

I hope this helps!
Best wishes:)

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I will mark brainliest!

Harrizon [31]

Answer:

a + 56.75 = 76.75

Step-by-step explanation:

that is because ,money raised on first day(a) + money raised on second day = 76.75

that gives us, a = $20

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2 years ago

Gonzalez Manufacturing borrowed $. Part of the money was borrowed at %, part at %, and part at %. The annual interest was $

Pavel [41]

Answer:

The answer is "rate 12%, 14%, 16% and value 4000, 10000, and 7000".

Step-by-step explanation:

Let the value is x, y, and z. so,

The value of x amount will be borrowed at 12% $= \frac{12}{100} \times x= 0.12x$

The value of y amount will be borrowed at 14% $= \frac{14}{100} \times x= 0.14x$

The value of z amount will be borrowed at 16% $= \frac{16}{100} \times x= 0.16x$

If the total amount= 21000

$\to x+y+z=21000$

If the total interest= 3000

calculating the total interest:

$\to 0.12x +0.14y +0.16z = 3000$

The overall amount borrowing at 12% and 14% was half as much as the amount borrowed at 16%.

$\to x + y = 2z\\\\\to x + y - 2z = 0$

by calculating the value we have 3 equations that are:

$\to x+y+z=21000\\\\\to 0.12.x +0.14.y +0.16z = 3000\\\\\to x + y - 2z= 0\\$

calculate the matrix by above-given value:

$\left[\begin{array}{ccc}1&1&1\\0.12&0.14&0.16\\1&1&-2\end{array}\right]$ $\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}21000&3000&0\\ \end{array}\right]$

by solving the above matrix we get:

$\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}4000&10000&7000\\ \end{array}\right]$

$\to \$ 4000 \text{ lent at} 12 \% \\\to \$ 10000 \text{ lent at} 14 \% \\\to \$ 7000 \text{ lent at} 16\%\\\\$

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3 years ago

Maria leaves her house and walks north 6 blocks she then turns and heads east 8 blocks until she reaches Sally's house what is t

eduard

For this question, you will use the Pythagorean theorem. $a^{2} + b^{2} = c^{2}$ so $6^{2} + 8^{2} = c^{2}$
$6^{2} + 8^{2} = 100$
$\sqrt{100} = 10$
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3 years ago

What is an extraneous solution?

faust18 [17]

An extraneous solution is a solution to a function which does not apply to the original problem. Such as in real life problems, measuring the sides of a shape to determine area or volume. If you solve for x and one of the solutions is a negative number, that would be an extraneous solution, since in real life we cannot have negative inches, centimeters, milliliters, etc.

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