x Margo's age
Jaun + Margo
(2x+5) + x = 29
3x = 24
x = 8, Margo's age. Jaun 21 2*8+5
And to check...
sum = 29
Vertical angles are equal
-3x + 58 = x - 2
-3x - x = -2 - 58
-4x = - 60
x = -60/-4
x = 15
m < D = x - 2....15 - 2 = 13 <====
m < C = -3x + 58....-3(15) + 58 = 13
Answer:
8%
Step-by-step explanation:
We will use the equation provided to solve this problem.
![I=Prt](https://tex.z-dn.net/?f=I%3DPrt)
Lets plug in the values:
First, divide both sides by 800.
Multiply x by 1
![x = .08](https://tex.z-dn.net/?f=x%20%3D%20.08)
Now, we multiply .08 by 100 to get our interest rate:
(.08)100 = 8
The interest rate is 8%
Answer: Second option is correct.
Explanation:
Since we have given that
![f(x)=3x^4+2x^3-x^2+2x-19](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4%2B2x%5E3-x%5E2%2B2x-19)
And ![g(x)=x+2](https://tex.z-dn.net/?f=g%28x%29%3Dx%2B2)
To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.
So,
Here, we have,
![x+2=0\\\\x=-2](https://tex.z-dn.net/?f=x%2B2%3D0%5C%5C%5C%5Cx%3D-2)
So, we will find f(-2) which will give us the required remainder,
![f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5](https://tex.z-dn.net/?f=f%28-2%29%3D3%28-2%29%5E4%2B2%28-2%29%5E3-%28-2%29%5E2%2B2%28-2%29-19%5C%5C%5C%5Cf%28-2%29%3D%283%5Ctimes%2016%29-%282%5Ctimes%208%29-%204-4-19%5C%5C%5C%5Cf%28-2%29%3D48-16-36-4-19%5C%5C%5C%5Cf%28-2%29%3D5)
Hence, Second option is correct.
Answer:
-45 to -71,, 26 degrees change in the temperature
Step-by-step explanation: