Answer:
The pairs of integer having two real solution for are
Step-by-step explanation:
Given
Now we will solve the equation by putting all the 6 pairs so we get the following
for
for
for
for
for
for
The above all are Quadratic equations inn general form
where we have a,b and c constant values
So for a real Solution we must have
for we have
which is less than 0 ∴ not a real solution.
for we have
which is greater than 0 ∴ a real solution.
for we have
which is greater than 0 ∴ a real solution.
for we have
which is greater than 0 ∴ a real solution.
for we have
which is equal to 0 ∴ a real solution.
for we have
which is less than 0 ∴ not a real solution.
Answer:
(8, -5); x=8; y=-5
Step-by-step explanation:
i'll be solving via substitution
2x+3y=1; y=-2x+11
2x + 3(-2x +11) = 1
2x -6x +33 = 1
-4x = -32
x = 8
2(8) + 3y = 1
16 + 3y = 1
3y = -15
y = -5
(8, -5)
Check:
-5 = -2(8) + 11
-5 = -16 + 11
-5 = -5
F(2) = 24
f(5) = 250
range is {24, 250}
Answer:
The equation would be Y= -7/2x + 7
Step-by-step explanation:
With the points given (0,7) and (2,0) we find our slope which is: -7/2. We know that our change in the y values is -7 and the change in our x values is +2. Y IS ALWAYS OVER X SO WE GET -7/2.
To find our y intercept you just look at the graph of where there's a point on the y line. For example (0,7) the 7 would be our y intercept.
So we get Y= -7/2x +7
The slope is ALWAYS put next to the variable x.
Hope this helps! :)
(Side Note: You look at the graph from left to right, so our first point would be (0,7)!)
1kg = 1000g
51/2 kg= 51/2×1000=51×500=25500g
25500g+450g= 25950g