Answer:
y = -2x + 6
Step-by-step explanation:
y = mx + c
m = (2-4)/(2-1) = -2/1
m = -2
y = -2x + c
When x = 1, y = 4
4 = -2(1) + c
c = 4 + 2 = 6
y = -2x + 6
Answer:
- no real solutions
- 2 complex solutions
Step-by-step explanation:
The equation can be rearranged to vertex form:
x^2 -4x = -5 . . . . . . . . . subtract 4x
x^2 -4x +4 = -5 +4 . . . . add 4
(x -2)^2 = -1 . . . . . . . . . show the left side as a square
x -2 = ±√-1 = ±i . . . . . . take the square root; the right side is imaginary
x = 2 ± i . . . . . . . . . . . . . add 2. These are the complex solutions.
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<em>Comment on the question</em>
Every 2nd degree polynomial equation has two solutions. They may be real, complex, or (real and) identical. That is, there may be 0, 1, or 2 real solutions. This equation has 0 real solutions, because they are both complex.
Answer:u=19/7 or 2.714286 or 2 5/7
Step-by-step explanation:
−14u+32=−6
Step 1: Subtract 32 from both sides.
-14u+32-32=-6-32
-14u=-38
Step 2: Divide both sides by -14.
-14u/-14=-38/-14
U=19/7
1.
A. 6 faces
8 vertices
12 edges
B. Cuboid/Rectangular Prism (net)
2.
A. 9 faces
I don't know Parts B & C.
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Answer:
-Ella have enough money($16,188.21) saved in six years to buy her home.
-It will take just over 10 yrs(10.24 yrs) for Ella’s account balance to exceed $20,000.
Step-by-step explanation:
#5% interest, compounded monthly, we calculate the effective annual interest rate:

The principal amount is $12,000 and the desired term is 6yrs. We calculate the compounded amount after 6yrs at
:

Hence, Ella wont be able to make a down-payment at the end of 6 yrs since her investment of $16,188.21 <$20,000
To get how long she will be able to make the down-payment, we equate and make n the subject of the formula:

Hence, it will take just over 10 yrs for Ella’s account balance to exceed $20,000.