Answer:
$9.59 for 7 bags of potatoes
Step-by-step explanation:
First you find the unit rate by dividing 6.85 by 5.
The unit rate should equal $1.37.
Then you multiply that and 7 which equals $9.59
Answer:
This is not linear.
Step-by-step explanation:
<h2>
As you can see the difference between x and y decreases the higher we go.</h2>
Answer:
<h2>
8(4 + n) = 112</h2>
Step-by-step explanation:
Let's start by reading the problem since it maybe is a bit confusing at first.
The product of 8
Now we know that it starts with 8 multiplied by another number. We do not know that number yet, so let's put 8 * () and fill in the parentheses later.
So far, our equation is:
8()
.. And the sum of 4 and a number
So, 4 + n
We can enter that into our equation
8(4+n)
The next line says "..Is 112"
So, the solution to our equation is 112
Our equation becomes:
8(4+n)=112
Given:
A right triangle has legs of 18 inches and 24 inches.
The short leg is increasing by 4 in/sec and the long leg is shrinking at 9 in/sec.
To find:
The rate of change of the hypotenuse.
Solution:
Let x be the shorter leg (Base), y be the larger leg (Perpendicular) and z be the hypotenuse.
We have,
According to the Pythagoras theorem,
...(i)
Taking square root on both sides.
Side cannot be negative. So,
Differentiating (i) with respect to time t, we get
Divide both sides by 60.
Here, negative sign means hypotenuse is decreasing.
Therefore, the hypotenuse is shrinking at 4.8 in/sec.
Hi!
This problem has two parts. First you need to find the slope, so let's do that. The equation for the slope is m = y2-y1/x2-x1
We can now plug the two given points into the equation.
m = 10-4/2-1
m = 6/1
m = 6
Now that we know the slope, and one point we can put this in slope intercept form. Slope intercept form is y=mx + b
So now we can plug in one point and the slope to find b
10 = 6(2) + b
10 = 12 + b
-2 = b
Now that we know both m and b, we can plug only those two into the equation y=mx + b, and we have the equation.
The equation is y = 6x - 2
