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Hitman42
3 months ago
11

Which statement is true about the graphed function

Mathematics
2 answers:
tester [12.3K]3 months ago
8 0

From -∞ to -4 the blue line is situated above the X axis, indicating that it is >0

Between -4 and -3, the blue line is below zero


Thus, the correct answer is: F(x) > 0 over the interval (-∞,-4)

Inessa [12.5K]3 months ago
4 0

Answer:

The right choice is 4.

Step-by-step explanation:

The graph clearly shows that the function intersects the x-axis at x=-4.

Before x=-4, the graph of F(x) remains above the axis, while beyond x=-4, it drops below the axis.

This indicates the value of F(x) is greater than 0 prior to reaching x=-4 and is less than 0 afterwards. Hence, we conclude that:

1. F(x)>0 across the interval (-∞,-4).

2. F(x)<0 across the interval (-4,∞).

Since the statement "F(x)>0 over the interval (-∞,-4)" is true concerning the graphed function, the correct answer is therefore option 4.

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Which expression gives the distance between the points (4, 6) and (7, -3)?
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The distance formula is
\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}. In the ordered pairs (4, 6), the first number 4 represents the x-coordinate while 6 is the y-coordinate. In (7, -3), 7 is the x-coordinate and -3 is the y-coordinate. Substituting these coordinates results in
\sqrt{(4-7)^2+(6--3)^2}. Since subtracting a negative is equivalent to adding a positive, we now have

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2 months ago
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The vertices of quadrilateral E F G H are E (-7,3) , F (-4,6) , G (5, -3) , and H (2,-6). What kind of quadrilateral is E F G H?
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square. The opposite angles are equal, the diagonals intersect at midpoint, opposite sides remain parallel, and the diagonals bisect the angles.
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2 months ago
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What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1
Inessa [12570]
The outcome is "GK=37, GH=14, and JK=19".

The problem references a missing attachment file, thus please find it attached.

The provided values are:

GJ=4x+2

HK=6x-1

Given GK =37

Need to calculate:

HJ=?

From GK: GK = GJ+JK yields GJ+(HK-HJ)

= 4x+2+((6x-1)-x) yields

9x+1...(a)Substituting (a) into the equation gives: 9(4)+1 yields 37 solves to x=4... for answer (b) and (c). Substituting x=4 yields:

GH=14 and JK=19.
8 0
2 months ago
A cube with side length 4p is stacked on another cube with side length 2q^2. What is the total volume of the cubes in factored f
tester [12383]
The volume of the cube with a side of 4p is calculated as 4p x 4p x 4p = 64p³

The volume of the cube with a side of 2q² computes to 2q² x 2q² x 2q² = 8q⁶

Total Volume = 64p³ + 8q⁶

Total Volume = (4p)³ + (2q²)³

Total Volume = (4p + 2q²)( (4p)² - (4p)(2q²) + (2q²)²)

Total Volume = (4p + 2q²)( 16p² - 8pq² + 4q⁴)

 
Response:  (4p + 2q²)( 16p² - 8pq² + 4q⁴)
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2 months ago
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