Answer:
(x = -11 and y = 56) or (x = 1 and y = -4)
Step-by-step explanation:
The equation of the parabola is 10 + y = 5x + x² ........(1)
And 5x + y = 1 ....... (2) is the straight line.
We have to find solutions to equations (1) and (2).
Now, solving equations (1) and (2) we get, 10 + (1 - 5x) = 5x + x²
⇒ 11 - 5x = 5x +x²
⇒x² + 10x - 11 = 0
⇒ (x + 11) (x - 1) = 0
Hence, x = -11 or x = 1
Now, from equation (2),
y = 1 - 5x = 1 - 5(-11) = 56 {When x = -11}
And, y = 1 - 5(1) = -4 (When x = 1}
Therefore, the solution of the system are (x = -11 and y = 56) or (x = 1 and y = -4) (Answer)
13 and 1/2. This is because 4.5 times 3 is equal to 13.5
Answer:
Your new monthly salary would be $1,457.50.
Step-by-step explanation:
You previously received a monthly salary of $1,375.00
Now by economy expansion, causing wages to increase by = 6%
Increment of the salary = 6% of 1,375.00
=
× 1,375
= 0.06 × 1,375 = $82.50
So your new monthly salary would be = $1,375.00 + $82.50 = $1,457.50
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Answer: B
x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right