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3 years ago

For the function f(x) = -12x + 7, find the

Mathematics

1 answer:

Brut [27]3 years ago

7 0

Answer:

$\large\boxed{x=-\frac{5}{6}}$

Step-by-step explanation:

f(x) is the same value as y. Therefore, y = 17. We can place this into slope intercept form (except with a defined value for y) and solve for x.

Start by subtracting 7 from both sides. Then, divide by -12 to solve for x. Finally, simplify the fraction.

17 = -12x + 7

10 = -12x

-10/12 = x

-5/6 = x

$\large\boxed{x=-\frac{5}{6}}$

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3 years ago

Write an equation of the line satisfying the given conditions. Through (2, -5), parallel to 5x 6y + 7

mojhsa [17]

We have to determine the equation of the line passing through the point (2,-5) and parallel to the line $5x = 6y+7$

When two lines are parallel, then the slopes of the two lines are equal.

Equation of line with point $(x_1, y_1)$ and slope 'm' is given by:

$(y-y_1) = m(x-x_1)$

Since, we have to determine the equation of a line with point (2,-5).

So, the equation of the line is : $(y-(-5)) = m(x-2)$

$y+5 = m(x-2)$

Since, the line is parallel to the line $5x = 6y+ 7$

So, $6y +7 = 5x$

$6y = 5x - 7$

$y = \frac{5}{6}x - \frac{7}{6}$

So, slope of the line 'm' is $\frac{5}{6}$ .

Therefore, the equation of the line is:

$(y+5) = \frac{5}{6}(x-2)$

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3 years ago

Brandon has 32 stamps. He wants to display the stamps in rows, with the same number of stamps in each row. How many different wa

aniked [119]

Find all the factors of 32, as they come in pairs.
The pairs will give you how many rows you can have, as well as the number of stamps in each row.
1x32 would be 1 row, 32 stamps each
2x16 would be 2 rows, 16 stamps each.
4x8 would be 4 rows, 8 stamps each.
Once you reach the point that it flips around, you can count up all those ways as well.
8x4 is 8 rows with 4 stamps each
16x2 is 16 rows with 2 stamps each
32x1 is 32 rows with 1 stamp each
The total number of factor pairs is 6, meaning he can display the stamps in 6 different ways that follow his want of having the same number of stamps in each row.

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3 years ago

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neonofarm [45]

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3 years ago