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Molodets [167]
3 years ago
8

3x-1/4<8 Solve and graph

Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

\large\boxed{x

Step-by-step explanation:

3x-\dfrac{1}{4}

<, > - open circle

≤, ≥ - closed circle

<, ≤ - draw the line to the left

>, ≥ - draw the line to the right

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Using the given information, give the vertex form equation for each parabola.
ollegr [7]

Answer:

Step-by-step explanation:

If you plot this point and the directrix on a coordinate plane, you can see that the directrix is 1/4 of a unit below the vertex.  Since, by nature, a parabola opens in the direction opposite the directrix and "hugs" the focus, this is a positive x-squared parabola (meaning it opens upwards).  The formula for this type of a parabola is, in vertex form,

4p(y-k)=(x-h)^2

where p is distance (in units) between the vertex and the directrix and h and k are the coordinates of the vertex.  For us, p = .25, h = 7, and k = -6.  Filling in our formula:

4(.25)(y+6)=(x-7)^2

Simplify the left side to

1(y+6)=(x-7)^2 which simplifies, in its entirety, to

(x-7)^2-6=y

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2 years ago
Can u answer this??!!
Lelu [443]
1/2 gallon of milk makes 10 glasses.
\frac{1}{2} x \frac{1}{10} = \frac{1}{20}
4 0
3 years ago
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Rus_ich [418]
For number 9 put the equation in the graphing calculator and see what the outcome is
5 0
3 years ago
Can somebody explain this to
beks73 [17]

Check the picture below.

slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(x_2)-f(x_1)}{2-0}\implies \cfrac{0~~ - ~~1}{2}\implies -\cfrac{1}{2}

6 0
2 years ago
If m is a common divisor of x and y, then x/y = (x ÷ k)/______
myrzilka [38]

Answer:

\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }

Step-by-step explanation:

The common divisor is the greatest natural number so that two or more natural numbers have no remainder. If m is a common divisor of x and y, then p = \frac{x}{m} and q = \frac{y}{m}, where p, q \in \mathbb{Z}. Then, we have the following expression:

\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }

3 0
2 years ago
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