Lourdes has 3times as much money than ella. Together they have $32 . How much money does Lourdes have ?

1 answer:

3 0

Answer:

Lourdes has $24.

Step-by-step explanation:

The appropriate equation would be L + (L/3) = $32, or 3L + L = $96.

Solving for L: 4L = $96, and L = $24. This is 3x what Ella has, so Ella has $8.

Check: Do $8 and $24 add up to $32? YES

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Vitek1552 [10]

Answer:

Given :

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→xy= 3²

Equation formed:

${(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy$

Step by step explanation:

${(12)}^{2} = {x}^{2} + {y}^{2} - 2 \times 9 \\ 144 + 18 = {x}^{2} + {y}^{2} \\ = 162$

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3 years ago

I am Lyosha [343]

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the minimum (upward facing graph) or maximum (downward-facing graph).

The axis of symmetry occurs at x = h.

a = determines whether the graph opens up or down, and makes the graph wider or narrower.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Going back to your quadratic function,

y = (x + 4)² - 8

The vertex occrs at (-4, -8)
a is assumed to have a value of 1.
Given the value of h = -4, then it means that the graph shifted horizontally by 4 units to the left.
Since k = -8, then it implies that the graph translated vertically at 8 units downward.