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Arisa [49]
3 years ago
14

Solve -4/3x+1/6<7/9

Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

Answer:

\large\boxed{x>-\dfrac{11}{24}}

Step-by-step explanation:

-\dfrac{4}{3}x+\dfrac{1}{6}

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6 points
kodGreya [7K]

Answer:

y=-2\,(x+3)^2-3

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex (x_v,y_v) in the expression:

y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter a:

y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2

So, now we can write the full expression for the parabola:

y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3

8 0
3 years ago
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
Burka [1]
Area of Rectangle = length times width
lets say length = 2x-4
width = x+5

Note: you can switch these around, width could be 2x-4 and length could be x+5, it doesnt matter.

With that being said:
length * width = area
(2x-4)(x+5)=area
FOIL (First Outer Inner Last)
2x^{2}+10x-4x-20=area
Simplify:
x^{2}+6x-20=area
3 0
3 years ago
Who's ur favorite song artist?
sukhopar [10]
Probably Metallica or Pink Floyd
7 0
3 years ago
Read 2 more answers
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. if one such class is r
rodikova [14]
The distribution is uniform for 50 ≤ x ≤ 52.
where x =  minutes per class.

The probability P(x < 50.6) is the shaded portion of the distribution.
Its value is
(50.6 - 50)/(52 - 50) = 0.3

Answer:
The probability is  0.3 or 30%

7 0
3 years ago
F =(11,5) Find: 7f.
lys-0071 [83]

Answer:

f = (115)   \\ 7f = 7 \times f(115) = 805

6 0
3 years ago
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