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anastassius [24]
3 years ago
5

The minimum score on the SAT test is 600 and the maximum score is 2400. Write an absolute value equation that represents the min

imum and maximum scores. Use x to represent the scores
Mathematics
2 answers:
Inessa [10]3 years ago
6 0
X greater than/equal to 600 and X less than/equal to 2400
Ipatiy [6.2K]3 years ago
5 0

Answer:

600 \leq x \leq 2400    

Step-by-step explanation:

We are given the the following information in the question:

Minimum SAT score = 600

Maximum SAT score = 2400

Let x represent the SAT score of a student. Since x are scores they can never be negative.

Thus, it can be written that:

x \geq 600\\x \leq 2400

The absolute value function can be written as:

\mid a \mid = a, a>0\\~~~~~=-a, a < 0

The absolute value equation for this scenario can be written as:

600 \leq \mid x \mid \leq 2400

Since x is always positive in this case,

600 \leq x \leq 2400

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3 years ago
What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
lbvjy [14]

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The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)

Step-by-step explanation:

Focus: F=(3,1)=(xf, yf)→xf=3, yf=1

Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:

f(x)=[1 / (4p)] (x-h)^2+k

where Vertex: V=(h,k)

The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:

Vertex is the midpoint between (3,5) and (3,1):

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Vertex: V=(h,k)→V=(3,3)

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Replacing the values in the equation:

f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3

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f(x)= - (1/8) (x-3)^2 + 3

4 0
3 years ago
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