Answer:
b
Step-by-step explanation:
Answer:
-1.75, -1 1/2, -3/4, 1/4, 0.75
Step-by-step explanation:
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Answer:
1
Step-by-step explanation:
The given equation of the function is y = -a·(x - h)² + 1
The positive constants of the equation = <em>a</em>, and <em>h</em>
The points the function crosses the x-axis = 2, and 4
Where the function crosses the x-axis, y = 0, and x = 2, and 4, therefore, when x = 2, we have;
y = 0 = -a·(2 - h)² + 1
When x = 4, we have;
0 = -a·(4 - h)² + 1
-a·(2 - h)² + 1 = -a·(4 - h)² + 1
-a·(2 - h)² = -a·(4 - h)²
(2 - h)² = (4 - h)²
±(2 - h) = +#±(4 - h)
When
(2 - h) is negative, and (4 - h) is positive, but the same magnitude, we have';
-(2 - h) = +(4 - h)
2·h = 4 + 2 = 6
h = 3
0 = -a·(4 - h)² + 1 = -a·(4 - 3)² + 1 = -a + 1
Therefore, a = 1
Answer:
The correct option is First. i.e <u>consistent.</u>
The System shown is <u>consistent.</u>
Step-by-step explanation:
Consistent:
A consistent system of equations is a system that has at least one solution.
Our System in graph has only and only ONE solution that is on X-axis
Where the lines are intersecting each other.
Hence, The System shown is <u>consistent.</u>
Inconsistent:
An inconsistent system of equations is a system that has no solution.
Equivalent:
Systems of equations that have the same solution are called equivalent systems. Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.
You can’t record how clean someone’s hair is it depends on how they wash it and they probably wash it different every time. You could measure how dry their hair is after using that certain company’s shampoo.