Answer:
(1, 3) and (4,0)
Step-by-step explanation:
The quadratic function is 
We can rewrite in the form 
The graph is obtained by shifting the parent quadratic function 3 units right and 1 unit down to obtain the parabola shown in the attachment.
The straight line also have equation 
The slope is -1 and y-intercept is 4.
We can easily graph this straight line on the same graph as shown in the attachment.
The two graphs intersected at (4,0) and (1,3).
The solution set is therefore {(x,y)|x=4,y=0 or x=1,y=3}
Answer:
<em>475604-71343= 404357</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em><</em><em>3</em>
Using linear combination method to solve the system of equations 3x - 8y = 7 and x + 2y = -7 is (x, y) = (-3, -2)
<h3><u>
Solution:</u></h3>
Given that, a system of equations are:
3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)
We have to solve the system of equations using linear combination method and find their solution.
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.
Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.
4x + 8y = -28 ⇒ (3)
Now, add (1) and (3)
3x – 8y = 7
4x + 8y = - 28
----------------
7x + 0 = - 21
7x = -21
x = - 3
Now, substitute "x" value in (2)
(2) ⇒ -3 + 2y = - 7
2y = 3 – 7
2y = - 4
y = -2
Hence, the solution for the given two system of equations is (-3, -2)
Answer:
n = ( 40 - m )
Step-by-step explanation:
On a particular day, Ricardo drank a total of 40 fluid ounces of water.
If he drank m fluid ounces of water in the morning of that day, then the number of fluid ounces of water he drank the rest of the day is given by (40 - m) fluid ounces.
If n represents the number of fluid ounces water that he drank the rest of the day, then we can write the equation as
n = ( 40 - m )
Therefore, the above equation can be used to find n. (Answer)
Answer:
60ft/s
Step-by-step explanation:
To find the rate
rate = f(3) - f(0)
-------------
3-0
rate = 200-380
---------------
3-0
rate = -180/3 = -60 ft/s
The negative tells us it is falling
The fall falls 60ft/s
