Answer:
Hey there! The answer to your question will be below
Step-by-step explanation:
The answer to your question is -1/2
-1/2x + 1/4
= -1/2
Hope that helps
By:xBrainly
I would do C) Square Root property to get x=4
Answer:
2x^{2} + 2x - 56 = x^{2} + x\\
x_1 = -8
x_2 = 7
x^{2} -9x= x- 9\\
x_1 = 1
x_2 = 9
Step-by-step explanation:
2x^{2} + 2x - 56 = x^{2} + x\\
2x^{2} + 2x - 56 - x^{2} - x\\
x^{2} + x - 56 = 0\\
x_1,2 = (-b ± √(b^2-4 ac))/2a
a = 1, b = 1, c = -56
x_1,2 = (-1 ± √(1^2-4*1* (-56)))/(2*1)
x_1 = (-1- √(1^2-4*1* (-56)))/(2*1)
x_1 = (-1- √(1^2-4*1* (-56)))/(2*1)= -8
x_2 = (-1+ √(1^2-4*1* (-56)))/(2*1)= 7
Proof
2*(-8)^{2} + 2*(-8)- 56 =(-〖8)〗^{2} +(-8)\\
128- 16- 56 = 64- 8\\
56 = 56\\
2*(7)^{2} + 2*7 - 56 =(7)^{2} + 7\\
98+ 14 - 56 =49 + 7\\
98+ 14 - 56 =49 + 7\\
56 =56\\
x^{2} -9x= x- 9\\
x^{2} -9x= x- 9\\
x^2-x-9x+9=0
x^2-10x+9=0
x_1,2 = (-b ± √(b^2-4 ac))/2a
a = 1, b = -10, c = 9
x_1,2 = (-(-10) ± √(〖(-10)〗^2-4* 1*9))/(2*1)
x_1 = (10-8)/2=1
x_2 = (10+8)/2=9
Proof
x^{2} -9x= x- 9\\
1^{2} -9*1= 1- 9\\
-8= - 8\\
9^{2} -9*9= 9- 9\\
0= 0\\
Total distance of a typical running track =
.
Let us convert it into impoerper fraction first, we get
![\frac{402\times4+1}{4}=\frac{1609}{4}meters.](https://tex.z-dn.net/?f=%5Cfrac%7B402%5Ctimes4%2B1%7D%7B4%7D%3D%5Cfrac%7B1609%7D%7B4%7Dmeters.)
Total number of maps in a day = 10 maps.
Number of days of running = 5 days.
Total number of maps of 5 days = 10 × 5 = 50 maps.
Total number of meters in 50 maps =
.
<h2>Therefore,
![20112\frac{1}{2}\ meters](https://tex.z-dn.net/?f=20112%5Cfrac%7B1%7D%7B2%7D%5C%20meters)
will sandra run is she meets her challenge</h2>
Given:
The equation is
.
To find:
The scenario that uses the given equation.
Solution:
If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units.
According to this scenario,
Total supply = 10+7p
Equate total supply with 24, to find the price at which the supply will be 24 units.
![7p+10=24](https://tex.z-dn.net/?f=7p%2B10%3D24)
Therefore, the required scenario is "If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units."