Answer: a = 1.25, b = 2.5, c = 1.25
Step-by-step explanation:
Use vertex form and substitute a point into it (1, 5)
5 = a(1 + 1)^2 + 0
5 = a(2)^2 + 0
5 = 4a
a = 5/4
y = 5/4 (x + 1)^2
y = 5/4 (x^2 + 2x + 1)
1.25 x^2 + 2.5x + 5/4
Is there a "c" value otherwise it's not possible
3.) 3 faces. 4 edges. 3 V
4.) 5 faces. 5 edges. 3 V
5.) 2 faces. 1 edge. 1 V
6.) 3 faces. 0 edges. 1 V
7.) 1 face. 0 edges. 2 V's
I'm iffy on the V's.
Answer:
x = 25.35 (or 2129/84) and y = 4334.04 (or 121353/28)
Step-by-step explanation:
The given equations are set up and ready to go with substitution. Simply just plug in the first equation to the second equation as both are equal to y.
Step 1: Replace y in <em>y = 87x + 2129 </em>with <em>171x</em>
171x = 87x + 2129
Step 2: Subtract 87 x on both sides
84x = 2129
Step 3: Divide both sides by 84 to get x
x = 2129/84 or 25.35 (rounded)
To get y, simply plug in x into one of the 2 original equations. In this case, I will use the first equation:
y = 171 (25.35)
y = 121353/28 or 4334.04 (rounded)
You can check your work by plugging both solutions into the calculator and see if they equal each other. The values for these answers are solely based on the equations, so if you write the <em>equations </em>wrong themselves, then that means you have the values wrong as well.
Answer:
the solution is (2, -6)
Step-by-step explanation:
Substitute the second equation into the first, replacing y in the first:
2x - (-4x+2) = 10
Simplifying, we get:
2x + 4x - 2 = 10, or:
6x = 12, which yields x = 2.
Substituting 2 for x in the second equation yields y = -4(2) + 2 = 0, or y = -6
Then the solution is (2, -6).
