Answer:
the solutions are (3, 7) and (-1, -1)
Step-by-step explanation:
Insert the " = " symbol between the two equations, obtaining:
y = x^2 - 2 = y = 2x + 1
Then x^2 - 2 = 2x + 1, or
x^2 - 2x - 3 = 0, and this can be factored into (x - 3)(x + 1) = 0.
Thus, the x values that satisfy this system are {-1, 3}.
Use y = 2x + 1 to find the corresponding y values:
y = 2(-1) + 1 = -1
and
y = 2(3) + 1 = 7
Then the solutions are (3, 7) and (-1, -1)
All we have to do is divide how many blueberries he ate in an hour (80) by how many times 15 minutes is in 1 hour (4)
80 ÷ 4 = 20
We can check our work by multiplying 20 by 4
20 x 4 = 80
Therefore, David ate 20 blueberries in 15 minutes
Hope this helps you!
Always remember you are a Work Of Art!
- Nicole :) <3
Y=2x+3 is a linear equation.
The last table is linear (1/2, 1, 1.5, 2)
Step-by-step explanation:
cos θ - sin θ = √2 sin θ
cos θ + sin θ = √2 sin θ + 2sin θ
cos θ + sin θ = √2(sin θ + √2sin θ)
cos θ + sin θ = √2 cos θ. (Proven)
