For the second one is $19 im still figuring out the first one
Answer:
y = 5x - 56
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
Here m = 5, thus
y = 5x + c ← is the partial equation of the line
To find c substitute (8, - 16) into the partial equation
- 16 = 40 + c ⇒ c = - 16 - 40 = - 56
y = 5x - 56 ← equation of line
At some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)
<h3> How did we figure this out?</h3>
Lola is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $10 per box of cards.
We are going to use 50, 8 and 10 to find are answer.
Therefore, we are going to divide the numbers:
- Division problem
- 50/10
- 8 x ? = 40
<h3 /><h3>What is the missing number?</h3>
First, we need to figure out 50/10:
Therefore, at some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)
c= number of cars
9 more than the number of cars
=c+9
The equation of the line through (0, 1) and (<em>c</em>, 0) is
<em>y</em> - 0 = (0 - 1)/(<em>c</em> - 0) (<em>x</em> - <em>c</em>) ==> <em>y</em> = 1 - <em>x</em>/<em>c</em>
Let <em>L</em> denote the given lamina,
<em>L</em> = {(<em>x</em>, <em>y</em>) : 0 ≤ <em>x</em> ≤ <em>c</em> and 0 ≤ <em>y</em> ≤ 1 - <em>x</em>/<em>c</em>}
Then the center of mass of <em>L</em> is the point with coordinates given by
where is the first moment of <em>L</em> about the <em>x</em>-axis, is the first moment about the <em>y</em>-axis, and <em>m</em> is the mass of <em>L</em>. We only care about the <em>y</em>-coordinate, of course.
Let <em>ρ</em> be the mass density of <em>L</em>. Then <em>L</em> has a mass of
Now we compute the first moment about the <em>y</em>-axis:
Then
but this clearly isn't independent of <em>c</em> ...
Maybe the <em>x</em>-coordinate was intended? Because we would have had
and we get