Answer:
(-1,-9) <u>PLEASE MARK BRAINLIEST!!!!!</u>
Step-by-step explanation:
k(-4,-6) , m(-7,-3)
-7+4=-3
-3+6=3
-4+3=-1
-6-3=-9
(-1,-9)
Answer:
![\boxed {\boxed {\sf x=2}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20x%3D2%7D%7D)
Step-by-step explanation:
The axis of symmetry can be calculated using the formula:
![x=\frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%7D%7B2a%7D)
First we must determine a and b from the quadratic:
. This is in standard form, with the highest power first in descending order.
Standard form is also: ![ax^2+bx+c](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc)
If we compare this to the quadratic given, we can conclude that:
![a= -1 \\b= 4 \\c= -8](https://tex.z-dn.net/?f=a%3D%20-1%20%5C%5Cb%3D%204%20%5C%5Cc%3D%20-8)
Substitute the values for a and b into the formula.
![x= \frac{-(4)}{2(-1)}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-%284%29%7D%7B2%28-1%29%7D)
Multiply in the denominator.
![x=\frac {-4}{-2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%20%7B-4%7D%7B-2%7D)
Divide.
![x=2](https://tex.z-dn.net/?f=x%3D2)
This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.
SOS:
Answer:
Take the square root of 36 and subtract 2.
Step-by-step explanation:
![x^2+4x=32\\(\frac{1}{2}*4=2; 2^2=4) : x^2+4x+4=36\\\sqrt{(x+2)^2}=\sqrt{36}\\ x+2=±6: -2+6=4, -2-6=-8](https://tex.z-dn.net/?f=x%5E2%2B4x%3D32%5C%5C%28%5Cfrac%7B1%7D%7B2%7D%2A4%3D2%3B%202%5E2%3D4%29%20%3A%20x%5E2%2B4x%2B4%3D36%5C%5C%5Csqrt%7B%28x%2B2%29%5E2%7D%3D%5Csqrt%7B36%7D%5C%5C%20x%2B2%3D%C2%B16%3A%20-2%2B6%3D4%2C%20-2-6%3D-8)
<em>Hope this helps!!</em>
<h3>
Answer: $611</h3>
Work Shown:
30% of 470 = 0.30*470 = 141
The value goes up by $141, so the answer would be 470+141 = $611
A slight shortcut would be to say
1.30*470 = 611
This works because 1.30 = 1 + 0.30 = 100% + 30%