Answer:
2
Step-by-step explanation:
y = 0 at the point where the function intersects x-axis. Thus, yiou have to put
2x2 + x - 10 = 0
and solve the equation. It is better to factor the quadratic expression, which gives us
2x2 + x - 10 = (2x+5)(x-2) = 0
We have 2x +5 = 0 and x-2 = 0. Thus, the intercepts are x = -5/2 = - 2.5 and x = 2.
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Answer:Incorrect.
For example, two equations with same y intercept.
y = 2x + 3
y = 5x + 3
This system has only one solution.
Another example,
y = x + 7
y = x + 7
This system has infinitely many solutions.
So she is not correct because of the first example.
Step-by-step explanation:
Answer:
The graph is shifted 7 units and 5 units. Left and Up.
A) x + y = 110
x - y = 40
B) Melvin swims for 35 minutes every day.
C) It is not possible
Step-by-step explanation:
Step 1:
Let x denote the duration for which Melvin plays tennis and y denote the duration for which he swims
Step 2 :
Part A :
Given that the total duration for which he plays and tennis is 110 minutes
so we have x + y = 110
Also given that he plays tennis for 40 minutes more than he swims
So, x = y+ 40 =>x-y = 40
So the linear pair of equations are
x + y = 110
x-y = 40
Step 3 :
Part B
Solving the above 2 equations we have
y+40+y = 110 = > 2y+ 40 = 110 = > y = 2y = 70 = >35
x = y+40 = 35+ 40 = 75
So Melvin plays tennis for 75 minutes and swims for 35 minutes every day.
Step 4 :
Part C
Given he plays and swims for 110 mins exactly, i.e x + y = 110
If Melvin plays tennis for 70 minutes , then x = 70, then the time for which he can swim is 110 - 70 = 40 mins.
He gets only 40 mins for swimming which is not 40 mins more than he plays tennis .
So this case is not possible.
