option D is the correct option
y= 10- 2x
Now, if we take the first value of x i.e 1
then, y= 10-2(1)
= 10-2 = 8 ---------> this value matches with the given value of y
take,x =2
y=10-2(2) = 10-4 = 6--------->this value matches with the given value of y
taking, x = 3
y= 10-2(3) = 10- 6=4-------->this value matches with the given value of y
Answer:
4x² + 12 = 7x
4x² + 12 - 7x = 0
use the quadratic formula and get your answer!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Givem the profit function
p(x) = −2000x2 + 18000x − 15000
We are to generate the price range that will generate a monthly profit of at least $25,000
Substitute into the function we have;
25000 = −2000x2 + 18000x − 15000
Divide through by 1000
25 = -2x²+18x-15
Rearrange
-2x²+18x-15-25 = 0
2x²-18x+40 = 0
Divide through by 2
x²-9x+20 = 0
Factorize
x²-5x-4x+20 = 0
x(x-5)-4(x-5) = 0
x-4 = 0 and x-5 = 0
x = 4 and x = 5
Hence the price range that will generate a monthly profit of at least $25,000 is between $4 and $5 inclusive
Answer:
Step-by-step explanation:
2
Answer:
p = −1
Step-by-step explanation:
1. Regroup terms.
−6 (p + 8) = 7p − 35
2. Expand.
−6p − 48 = 7p − 35
3. Add 6p to both sides.
−48 = 7p − 35 + 6p
4. Simplify 7p − 35 + 6p to 13p −35.
−48 = 13p − 35
5. Add 35 to both sides.
−48 + 35 = 13p
6. Simplify −48 + 35 to −13.
−13 = 13p
7. Divide both sides by 13.
−1 = p
8. Switch sides.
p = −1
