Answer:
x = -4
Step-by-step explanation:
-2x-11=-3x-15
x - 11 = -15
x = -4
The part that represents the solution to the inequality will be Part B shaded below first line and above second line.
<h3>How to depict the inequality?</h3>
From the information given, the equation of the first line will be:
y - 3 = (-3 - 3/2 + 4)(x + 4)
y - 3 = -1(x + 4)
y + x = -4 + 3
x + y = -1
The equation of the second line will be:
y + 3 = -1(x + 4)
y = x + 4 - 3
y = x + 1
This is plotted on the graph attached.
From the systems of equations, the statement that is correct about the two systems of equations is that They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A.
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Answer:
a. True
b. True
c. False
d. False
e. False
Step-by-step explanation:
The matrix with orthonormal column must be in square for that it forms orthogonal matrix. Every orthonormal set of non zero vector is linearly independent. This statement is correct because there is linear combination of non zero vectors.
Answer:
The average rate of change = 4
Step-by-step explanation:
Given the function

x₁=-2, x₂=4
f(x₁) = f(-2) = 2x²-4 = 2(-2)²-4 = 8-4 = 4
f(x₂) = f(4) = 2x²-4 = 2(4)²-4 = 32-4 = 28
The average rate of change = f(x₂) - f(x₁) / x₂ - x₁
= (28-4)/(4-(-2))
= 24/6
= 4
Thus, the average rate of change = 4
Multiply 5 and £14.06 to get £70.30 this is your answer