Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = x² + 2x + 7 → (1)
y - 7 = x → (2)
Rearrange (2) expressing y in terms of x by adding 7 to both sides
y = x + 7 → (3)
Substitute y = x + 7 into (1)
x + 7 = x² + 2x + 7 ( subtract x + 7 from both sides )
0 = x² + x ← factor out x from each term
0 = x(x + 1)
Equate each factor to zero and solve for x
x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (3) for corresponding values of y
x = 0 → y = 0 + 7 = 7
x = - 1 → y = - 1 + 7 = 6
The solutions are
(- 1, 6 ) and (0, 7 )
Answer:
2/1/2 you need 2and 1/2 of chicken
The expressions D, E, and F represent a correct solution to the equation.
Step-by-step explanation:
Step 1:
First, we need to solve the given equation and find the value of x which satisfies the equation.


So the value of x for the given equation is -0.666.
Step 2:
Now we evaluate the values of the six given options to see which ones have an x value of -0.666.
A. 
B. 
C. 20 -6 -4 = 20 - 10 = 10.
D. 
E. 
F. 
So the options D, E, and F represent a correct solution to the given equation.
<span>10x + 30(2) = 20(x + 2)
10x + 60 = 20x + 40
10x = 20
answer
x = 2 liters
So you would need 2 liters of the 10% solution to make the 30% solution 20%.</span>