Answer:
option-D
Step-by-step explanation:
we are given
![x^2+2x+4](https://tex.z-dn.net/?f=x%5E2%2B2x%2B4)
Let's assume it is equal to 0
![x^2+2x+4=0](https://tex.z-dn.net/?f=x%5E2%2B2x%2B4%3D0)
We can use quadratic formula
Suppose, we are given quadratic equations as
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
![x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
we can compare and find a,b and c
a=1 , b=2 , c=4
now, we can plug values
and we get
![x=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-2%5Cpm%20%5Csqrt%7B2%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A4%7D%7D%7B2%5Ccdot%20%5C%3A1%7D)
now, we can simplify it
and we get
![x=-1+\sqrt{3}i,\:x=-1-\sqrt{3}i](https://tex.z-dn.net/?f=x%3D-1%2B%5Csqrt%7B3%7Di%2C%5C%3Ax%3D-1-%5Csqrt%7B3%7Di)
Answer:
![y = 250x](https://tex.z-dn.net/?f=y%20%3D%20250x)
Step-by-step explanation:
<em>The options are not given; however, the question can still be answered.</em>
Given
Direct Proportion:
In 20 minutes, y = 250 bottles
Required
Determine the graph
<em>In the first 20 minutes, y = 250</em>
<em>In the next 20 minutes, y = 250 + 250 = 500</em>
<em>In the next 20 minutes, y = 500 + 250 = 750</em>
<em />
This gives a arithmetic sequence:
250, 500, 750, ........
Next, is to determine the equation of the sequence using;
![T_n = a + (n - 1)d](https://tex.z-dn.net/?f=T_n%20%3D%20a%20%2B%20%28n%20-%201%29d)
In this case;
![T_n = y](https://tex.z-dn.net/?f=T_n%20%3D%20y)
![x = n](https://tex.z-dn.net/?f=x%20%3D%20n)
![a = 250](https://tex.z-dn.net/?f=a%20%3D%20250)
![d = 750 - 500 = 500 - 250 = 250](https://tex.z-dn.net/?f=d%20%3D%20750%20-%20500%20%3D%20500%20-%20250%20%3D%20250)
Substitute these values in the above formula;
![y = 250 + (x - 1) * 250](https://tex.z-dn.net/?f=y%20%3D%20250%20%2B%20%28x%20-%201%29%20%2A%20250)
Open Bracket
![y = 250 + 250x - 250](https://tex.z-dn.net/?f=y%20%3D%20250%20%2B%20250x%20-%20250)
Collect Like Terms
![y = 250x + 250 - 250](https://tex.z-dn.net/?f=y%20%3D%20250x%20%2B%20250%20-%20250)
![y = 250x](https://tex.z-dn.net/?f=y%20%3D%20250x)
Hence; the graph that shows the given description is the graph with equation ![y = 250x](https://tex.z-dn.net/?f=y%20%3D%20250x)
Here is 3 different ways to write how much snow fell in one hour
- Exact form (improper fraction) form: 13/8
- Decimal form: 1.625
- Mixed number form: 1 5/8
All u need to do is divide 13 by 8
Answer: 220 yards
Step-by-step explanation:
1 mile equals 1,760 yards
1,760 ÷ 8 = 220 yards
8/8 is 1... so that 1 is equal to the 1,760
You could divide it by 8 as shown above OR to double check yourself.. take your answer of 220 yards and add that 220 to 220 a total of 8 times which will give you your 1 mile equaling to 1,760 total yards which makes 1/8 mile equal the 220 yards. (I really hope this helps and makes sense as to how I figured that out for you:-) )