Answer:
You are currently 40 years old
Step-by-step explanation:
Let's say the current age is represented by the variable x.
x = current age
The question says that "if you take half my age and add 7, you get my age 13 years ago"
This can be represented like this:
1/2(x) + 7 = x - 13
Now we solve for x using basic algebra:
1/2(x) = x - 20
-1/2(x) = -20
x = 40
To check if this is correct, plug it back into the equation and see if both sides equal each other:
1/2(40) + 7 = (40) - 13
20 + 7 = 27
27 = 27
Hope this helps (●'◡'●)
The given expression is
![3x^2 -8x +5 = 5x^2](https://tex.z-dn.net/?f=3x%5E2%20-8x%20%2B5%20%3D%205x%5E2)
We have to find the discriminant first . And for that, first we need to move whole terms of the left side to right side, that is
![5x^2 -3x^2 +8x -5=0](https://tex.z-dn.net/?f=5x%5E2%20-3x%5E2%20%2B8x%20-5%3D0)
![2x^2+ 8x -5 =0](https://tex.z-dn.net/?f=2x%5E2%2B%208x%20-5%20%3D0)
The formula of discriminant is
![D =b^2 -4ac](https://tex.z-dn.net/?f=D%20%3Db%5E2%20-4ac)
Substituting the values of a,b and c, we will get
![D = 8^2 -4(2)(-5)=64+40 = 104](https://tex.z-dn.net/?f=D%20%3D%208%5E2%20-4%282%29%28-5%29%3D64%2B40%20%3D%20104)
And since the discriminant is greater than 0, or it is positive so we have two real roots.
Therefore the correct option is B .
Answer:
9/-24 or ~ -0.38
Step-by-step explanation:
x y
3 9
12 -15
from 9 to -15 it will be subtracting 24
From 3 to 12 it will be adding 9
y/x = 9/-24 or -0.375 ~ -0.38
x +y = 81 million
let x be the short stop and y be the pitcher
so pitcher (y) gets 2 times what the the shortstop (x) gets so y = 2x
so x + 2x = 81 million
3x = 81
x = 27
the short stop makes 27 million
the pitcher makes 54 million
Okay so first you have to subtract 17000 from 9200 to see how much money you have left to spend. Then once you get that number, which is 7800, you have to see what's that maximum number of acres that you can get. So you divide 7800 from 41.00 and you can get your answer. Your answer will be 190 acres. 190 acres is the highest you can go without going over budget.