<span>The graphs are identical and intersect at infinitely many points
Example of an identity:
x+2=x+2.
same expression on both sides. Reducing it will give 0=0 " identity"
-------------------------------------
Example of an equation
x+2=0
Reducing it will give you a solution x=-2. </span>
Answer:
65
Step-by-step explanation:
Angle A is 55 degrees.
A triangle adds up to 180 in degrees so 60 + 55 = 115
180 - 115 = 65 therefore angle C is 65 degrees.
Angle B is equal to angle C so it's also 65 degrees.
Basically:
A - 55
B - 65
C - 65
The final answer is x< -1
Answer:
A
Step-by-step explanation:
To get the area of the badgers in yards, you would have to do 40 yds * 20 yds / 2. Your answer should be 400 yds. Then, you would change it into feet. For every one yard, it is three feet. Therefore you would multiply the 400 yds by 3 to get it into feet. Now that you have it into feet, you can multiply it by the number of 1.25 per square feet.
400 ft * 1.25 =1500.
Answer:
After 19 months,value in the account will reach $3700
Step-by-step explanation:
The value of a savings account f(t) in terms of t ( number of months since account opening) is given as ![\[3,500(1.003)^{t}\]](https://tex.z-dn.net/?f=%5C%5B3%2C500%281.003%29%5E%7Bt%7D%5C%5D)
We need to determine the value of t when f(t)>=3700
Expressing it in equation form,
![\[3,500(1.003)^{t} >= 3700\]](https://tex.z-dn.net/?f=%5C%5B3%2C500%281.003%29%5E%7Bt%7D%20%3E%3D%203700%5C%5D)
![\[=>(1.003)^{t} >= \frac{3700}{3500}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%281.003%29%5E%7Bt%7D%20%3E%3D%20%5Cfrac%7B3700%7D%7B3500%7D%5C%5D)
![\[=>(1.003)^{t} >= 1.057\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%281.003%29%5E%7Bt%7D%20%3E%3D%201.057%5C%5D)
Taking log of both sides,
![\[=>t * log(1.003) >= log(1.057)\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Et%20%2A%20log%281.003%29%20%3E%3D%20log%281.057%29%5C%5D)
![\[=>t >= \frac{log(1.057)}{log(1.003)}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Et%20%3E%3D%20%5Cfrac%7Blog%281.057%29%7D%7Blog%281.003%29%7D%5C%5D)
![\[=>t >= 18.51\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Et%20%3E%3D%2018.51%5C%5D)
So t = 19.
