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galina1969 [7]
2 years ago
14

Sam works a part-time job making $11 per hour. This week, she worked for eight hours. Penni also worked this week. The money Sam

earned is half as much as $30 more than Penni’s earnings. How much money did Penni earn this week?
Mathematics
1 answer:
horrorfan [7]2 years ago
7 0
Penni made $59 this week
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Solve the equation... 10x - 12 = 48 - 2x
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If you would like to solve the equation 10 * x - 12 = 48 - 2 * x, you can calculate this using the following steps:

10 * x - 12 = 48 - 2 * x
10 * x + 2 * x = 48 + 12
12 * x = 60   /12
x = 60 / 12
x = 5

The correct result is 5. 
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3 years ago
How much is 11+5+3x2+8x1?
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Write a model that represents 4 x 2/3?
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mhhh

Step-by-step explanation:

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3 years ago
Write the equation of a parabola whose focus is at (-7, 3) and whose directrix is the line x = -3.
Sav [38]

Check the picture below.

now, let's keep in mind that, the vertex is half-way between the focus point and the directrix, it's a "p" distance from each other.

since this horizontal parabola is opening to the left-hand-side, "p" is negative, notice in the picture, "p" is 2 units, and since it's negative, p = -2.

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\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ 4p(y- k)=(x- h)^2 \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=7\\ p=-2 \end{cases}\implies 4(-2)[x-(-5)]=[y-7]^2 \\\\\\ -8(x+5)=(y-7)^2\implies x+5=\cfrac{(y-7)^2}{-8}\implies \boxed{x=-\cfrac{1}{8}(y-7)^2-5}

7 0
3 years ago
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sukhopar [10]

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