The area of the trapezoid is 221. You get that by multiplying 13 and 17. The area of the figure on the right is 119. You get that by subtracting 5 from fourteen to give you 9. Then you multiply 9*11=99. After you have that done you need to figure out the little square, which is 5*4=20. Add 99+20=119.
Hope this helps
It is given in the question that
For th first inequality, we divide both sides by 2, and for second, we subtract 3 to both sides, that is
So the required inequality is
![(- \infty, -9] U (2, \infty)](https://tex.z-dn.net/?f=%28-%20%5Cinfty%2C%20-9%5D%20U%20%282%2C%20%5Cinfty%29)
Correct option is B
Answer:
It will take 15 years for $500 to yield $900 at an interest rate of 0.12
Step-by-step explanation:
Simple Interest equals Principal times Rate times The time in years,
That is SI = P*R*T
SI is $900
P = $500
R = 0.12
T i.e. Time is unknown
T will be equal to SI divided by P*R
i.e., T = SI/PR
T = $900/$500*0.12 = 900/60
T = 15 years.
Therefore, it will take $500 investment to yield $900 interest in 15 years at an interest rate of 0.12
Answer:
Aaron completed the race in 9 days. Mitch finished in the race in 8 days 20 hours. Dallas finished in 8 days 18 hours
Step-by-step explanation:
1. Dallas won the race. 8 days 18 hours
2. Mitch came in second. 2 days 5 hours x 4= 8 days 20
3. Aaron was 3rd. 4 days 12 hours x 2= 9 days
Answer:
Vertex (5 ,-9)
Step-by-step explanation:
Given : Function f(x) = (x – 8)(x – 2).
To find : What is the vertex of the quadratic function .
Solution : We have given that f(x) = (x – 8)(x – 2).
On removing parenthesis
f(x) = x²-2x -8x +16.
f(x) = x²-10x +16.
We need to find vertex of this function ,
Vertex: (h, k)
h = -
.
Plugging values
h = -
.
h = 5 this is the x- coordinate,
Now , we will plug x= 5 in quadratic function .
k = (5)²-10(5)+16.
k = 25-50 + 16
k= -9.
Vertex (5 ,-9)
Therefore, Vertex (5 ,-9).
