Answer and explanation:
Given:
Royal soil= $6.50 per pound
Royal peasant = $2 per pound of 10 pounds
Blend total pounds is x+10, price is unknown hence solved below
Using algebra
We find unknown x = number of pounds of royal soil
$6.50(x)+$2(10)=6.50x+20/x+10(x+10)
= 6.50x+20= 6.50x²+85x+200
For this problem all you have to do is plug in the value that they is in parenthesis for x. If it says g (x) = x and then it asks g(5) = ?, it is saying what happens if i put 5 in for every x. in this case it would be g (5) = 5. I just replaced x with 5.
So g (-2) we sub -2 for x
g (-2) = -2 (-2)^2 + 3 (-2) - 5
= -2 (4) - 6 - 5
= -19
g (0) = -2 (0) + 3 (0) - 5
= 0 + 0 - t
= -5
g (3) = -2 (3)^2 + 3 (3) - 5
= -18 + 9 - 5
= -14
Answer: The expression is undefined for x=4 and x=5.
The expression is undefined for any x that makes the denominator 0. This leads to solving a quadratic equation:
Just solve until the answers are the same
25 times x plus 30 for John
15 times x plus 50 for Mary
Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted
and y = its height
Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:
6 years after it was planted : 7 feet,
so x=6 and y = 7
9 years after it was planted: 16 feet
so x= 9 y=16
With thay we can conclude that in 3 years , the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.
To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:
If in 6 years after the tree was planted it is 7 feet long , we can discover how long it was when it was planted by subtracting 6 years of growth (The slope ) which is 3
7 - 6(years)×3(feet the tree grow each year)
7 - 18 = -11
The tree was -11 feet long when it was planted
which is our y-intercept
( I know it doesnt make sense , but if you apply to a graph it will make more sense )
Now we can make the equation
y = 3x -11
