1, -c/2 < -1.5 2. -y/2 < 6 3. -d/3 > -9
1 answer:
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Answer:
A
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [a, b ] is
Here [ a, b ] = [ 2, 6 ], thus
f(b) = f(6) = - + 70 = - 64 + 70 = 6
f(a) = f(2) = - 2² + 70 = - 4 + 70 = 66
average rate of change = =
= - 15 → A
Solving of the system equation: 2x-y=-13 ⇒(1) and y=x+9 ⇒(2)
by substituting from (2) at (1)
2x-(x+9)=-13
2x-x-9=-13
x=-4 ⇒ substituting at (2) ∴ y = -4+9 = 5
<span>The point that represents the solution to the system = (-4,5)
========================================================
</span>
solving of the system equation: 3x+2y=10 ⇒(1) and 6x-y=10 ⇒(2)
by multiplying equation (2) ⇒ 12x-2y=20 ⇒(3)
adding (1) and (3)
15 x = 30 ⇒ x=2
from equation (2) 6x-y =10 ⇒⇒⇒ y = 6x-10 =12-10=2
<span>The point that represents the solution to the system = (2,2)
=======================================================
</span>
<span>solving of the system equation: 4x-3y=5 ⇒(1) and 3x+2y=-9 ⇒(2)
solve for x, y
we find x=-1 and y=-3
</span>
<span>The point that represents the solution to the system = (-1,-3)
</span>=======================================================
solving of the system equation: x+y=7 ⇒(1) and x-y=-1 ⇒(2)
adding (1) and (2)
2x=6 ⇒⇒⇒ x = 3
substitute at (1)
y =7-x=7-3=4
<span>The point that represents the solution to the system = (3,4)
=======================================================
</span>solving of the system equation: y=3x-7 ⇒(1) and y=2x-5 ⇒(2)
equating (1) and (2)
solve for x and y
we find x=2 ⇒⇒⇒ y = -1
<span>The point that represents the solution to the system = (2,-1)
=======================================================
</span>
The system equation : y = 6 and x =-5
<span>The point that represents the solution to the system = (-5,6)
=======================================================
The attached figure represent a conclusion for the answer
</span>
by substituting from (2) at (1)
2x-(x+9)=-13
2x-x-9=-13
x=-4 ⇒ substituting at (2) ∴ y = -4+9 = 5
<span>The point that represents the solution to the system = (-4,5)
========================================================
</span>
solving of the system equation: 3x+2y=10 ⇒(1) and 6x-y=10 ⇒(2)
by multiplying equation (2) ⇒ 12x-2y=20 ⇒(3)
adding (1) and (3)
15 x = 30 ⇒ x=2
from equation (2) 6x-y =10 ⇒⇒⇒ y = 6x-10 =12-10=2
<span>The point that represents the solution to the system = (2,2)
=======================================================
</span>
<span>solving of the system equation: 4x-3y=5 ⇒(1) and 3x+2y=-9 ⇒(2)
solve for x, y
we find x=-1 and y=-3
</span>
<span>The point that represents the solution to the system = (-1,-3)
</span>=======================================================
solving of the system equation: x+y=7 ⇒(1) and x-y=-1 ⇒(2)
adding (1) and (2)
2x=6 ⇒⇒⇒ x = 3
substitute at (1)
y =7-x=7-3=4
<span>The point that represents the solution to the system = (3,4)
=======================================================
</span>solving of the system equation: y=3x-7 ⇒(1) and y=2x-5 ⇒(2)
equating (1) and (2)
solve for x and y
we find x=2 ⇒⇒⇒ y = -1
<span>The point that represents the solution to the system = (2,-1)
=======================================================
</span>
The system equation : y = 6 and x =-5
<span>The point that represents the solution to the system = (-5,6)
=======================================================
The attached figure represent a conclusion for the answer
</span>