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ExtremeBDS
2 months ago
7

The vertex of this parabola is at (-2, -3). When the y-value is -2, the x-value is -5. Determine the coefficient of the squared

term in the parabola's equation.
Mathematics
1 answer:
Inessa [12.5K]2 months ago
6 0
The task requires calculating the coefficient of the squared term in the parabolic equation, and based on my calculations and analysis, I found that the vertex of the parabola can be expressed as y =a(x-h)^2+k, leading me to a simplification that results in x^2. 
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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
babunello [11817]

Response:

Each associate incurs a cost of $700 daily for the client, meaning that 'a' associates will cost the client 700a dollars each day. For each partner, the charge is $1500 daily, so 'p' partners will accumulate a cost of 1500p dollars daily. The cumulative bill amounts to 700a + 1500p = $14100:

700a + 1500p = 14100

700a + 1500p = 14100

Given that there are a total of 11 lawyers assigned (associates and partners), the equation a + p must equal 11.

a + p = 11

a + p = 11

\underline{\text{Formulate System of Equations:}}

Formulate System of Equations:

​

700a + 1500p =

700a + 1500p = 14100

14100

a + p = 11

11

8 0
3 months ago
Select all the sequences of reflections that produce an image equivalent to the image r(180°, O)(△BCD).
tester [12383]

Answer:

The operation r(180°,0) represents a 180° rotation around the origin.

This rotation shifts our shape to the opposite quadrant (effectively translating it across two quadrants).

Thus, this can be seen as:

A reflection across the x-axis followed by a reflection across the y-axis.

Alternatively.

It can also be depicted as a reflection across the y-axis followed by a reflection across the x-axis.

There exists another reflection method, contingent upon the position of our figure.

When the figure is situated in either the first or third quadrant, reflecting over the line y = -x yields a result equivalent to the rotation.

Conversely, if the figure lies in the second or third quadrant, reflecting over the line y = x corresponds to the rotation.

We can merge these two approaches into a single expression:

A reflection over the line y = (-1)^n*x.

Here, n indicates the number identifying the quadrant containing the figure.

8 0
1 month ago
A company makes a profit of $1.38 million. This is $2.54 million more than last year. Write and solve an equation to find the pr
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