-x^2+105x-1050=1550
We move all terms to the left:
-x^2+105x-1050-(1550)=0
We add all the numbers together, and all the variables
-1x^2+105x-2600=0
a = -1; b = 105; c = -2600;
Δ = b2-4ac
Δ = 1052-4·(-1)·(-2600)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
<span><span>x1</span>=<span><span>−b−<span>Δ√</span></span><span>2a</span></span></span><span><span>x2</span>=<span><span>−b+<span>Δ√</span></span><span>2a</span></span></span>
<span><span>Δ<span>−−</span>√</span>=<span>625<span>−−−</span>√</span>=25</span>
<span><span>x1</span>=<span><span>−b−<span>Δ√</span></span><span>2a</span></span>=<span><span>−(105)−25</span><span>2∗−1</span></span>=<span><span>−130</span><span>−2</span></span>=+65</span>
<span><span><span>x2</span>=<span><span>−b+<span>Δ√</span></span><span>2a</span></span>=<span><span>−(105)+25</span><span>2∗−1</span></span>=<span><span>−80</span><span>−2</span></span>=+40</span></span>
10^5 x 10^4 x 10^2 x 1.7 thats your answer
The coordinates at the midpoint of any line are the averages of the coordinates at the end-points. So 7 has to be the average of 10 and k .
(1/2) (10 + k) = 7
5 + k/2 = 7
k/2 = 2
<em>k = 4</em>
Answer:
2,650 pounds
Step-by-step explanation:
Given data
Amount paid= $848
Rate = 32 cents= $0.32
Hence the amount she purchased is
Quantity= Amount* Rate
Quantity = 848/0.32
Quantity= 2650
1.3x10^-2 = .013
.013 x .05 = .00065
.00065 = 6.5x10^-4
