F(x) = 2(x + 3), now if we distribute the 2, we get 2x + 6.

we know the lbs of apple is "x", and therefore, the lbs of orange will be the constant 3.

2x will then stand for the price for "x" lbs of apples.

and 2*3 will stand for the price of "3" lbs of oranges, which is 6 bucks.

since the 2 is multiplying the lbs quantity, it must then be the price, so both cost 2 bucks each per pound.

4 0

3 years ago

Perpendicular to the line 4x - 6y + 7 = 0 , passing through (3, 4) .

PilotLPTM [1.2K]

Answer:

The equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

Step-by-step explanation:

Given equation of line is:

$4x - 6y + 7 = 0$

Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.

So,

$4x+7 = 6y\\6y=4x+7\\\frac{6y}{6} = \frac{4x+7}{6}\\y = \frac{4}{6}x+\frac{7}{6}\\y=\frac{2}{3}x+\frac{7}{6}$

The standard form of slope-intercept form of equation is:

$y=mx+b$

Here, the co-efficient of x is the slope of the line.

So the slope of given line is: 2/3

m = 2/3

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line

Then

$m.m_1 = -1\\\frac{2}{3} . m_1 = -1\\m_1 = -1*\frac{3}{2}\\m_1 = -\frac{3}{2}$

The equation of perpendicular will be:

$y = m_1x+b$

Putting the value of slope

$y = -\frac{3}{2}x+b$

To find the value of b, putting (3,4) in the equation

$4 = -\frac{3}{2}(3)+b\\4 = -\frac{9}{2}+b\\b = 4+\frac{9}{2}\\b= \frac{8+9}{2}\\b=\frac{17}{2}$

So the equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

7 0

3 years ago

Beth will borrow 10,000 which earns 4% compound interest and she will repay that amount in 20 years. How much interest was earne

gtnhenbr [62]

Answer: 18,000

Step-by-step explanation: 10,000 borrowed + the 4% earned x the amount paid within 20 years

5 0

3 years ago

Read 2 more answers

700 tickets were sold for a game for a total of $1,250.00. If adult tickets sold for $2.00 and children's tickets sold for $1.50

Vlad1618 [11]

The answer to this is 15 tickets. you have to first multiply the number of tickets they have by the tickets they sold and then you will get your answr if 15 thickest

5 0

4 years ago

Read 2 more answers