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frozen
7 days ago
12

There are four inequalities that define the region R.

Mathematics
1 answer:
tester [12.3K]7 days ago
3 0

Response:

y\geq 0\\y\geq \frac{3}{2}x-3\\ y\leq -x+3

Explicación paso a paso:

La región R está delimitada por 4 líneas, la primera es y=x+1, la segunda es y=0 o el eje x, y la tercera y cuarta deben calcularse.

Para encontrar la ecuación de una línea que pase por los puntos (x1,y1) y (x2, y2) podemos utilizar la siguiente fórmula:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Entonces, nuestra tercera línea será la que conecta los puntos (2,0) y (4,3), así que la ecuación es:

y=\frac{3-0}{4-2}(x-2)\\y=\frac{3}{2}x-3

Nuestra cuarta línea es la que conecta los puntos (3,0) y (0,3), así que la ecuación es:

y=\frac{3-0}{0-3}(x-3)\\y=-x+3

A partir de ahí podríamos afirmar que las otras tres desigualdades son:

y\geq 0\\y\geq \frac{3}{2}x-3\\ y\leq -x+3

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A silent auction was held for a quilt donated for charity. Fifteen bids that were drawn randomly are listed here. What percentil
Leona [12618]

The provided values are

$85 $240 $120 $60 $315 $190 $145 $105 $285 $260 $95 $215 $235 $175 $155

To start, we will arrange these in ascending order

resulting in

$60 $85 $95  $105  $120  $145 $155 $175 $190 $215 $235 $240 $260 $285 $315

The total count is 15

the position of 105 is 4

Now, we can calculate the percentile

=\frac{4}{15} *100

Thus, the percentile for the bid of $105 is 26.667%...........Response

7 0
28 days ago
Read 2 more answers
Line QR goes through points Q(0,1) and R(2,7). Which equation represents line QR ?
tester [12383]
(0,1)(2,7)
Calculating the slope (m) gives: (7-1) / (2-0) = 6/2 = 3

The equation is represented as y = mx + b
where the slope (m) equals 3
Utilizing either of your coordinates... (0,1).... this implies x = 0 and y = 1
Substituting to solve for b, the y-intercept
1 = 3(0) + b
which simplifies to 1 = b

Thus, the equation you seek is: y = 3x + 1....or 3x - y = -1
6 0
24 days ago
Two thirds of a straight angle
PIT_PIT [12445]

Answer:

Two thirds of a straight angle is 120°

Explanation:

First, we define a straight angle:

A straight angle measures 180°

Now, we need to find two thirds of that straight angle

To compute the fraction, multiply the straight angle's measurement by \frac{2}{3}

Thus:

\frac{2}{3} of a straight angle = \frac{2}{3} * 180 = 120 degrees

Hope this helps:)

4 0
21 day ago
Suppose the coordinate of a is 0, ar = 5, and at =7. What are the possible coordinates of the midpoint of rt ?
Zina [12379]

Here, 'a' relates to 0.

There are two scenarios for 'r' and 't'.

Scenario 1.

Both are positioned on the same side to the right of 'a'.

In this case, 'r' would equal 5, and 't' would equal 7.

The midpoint between 'r' and 't' is \frac{5+7}{2} =6.

Scenario 2.

If both are found to the left of 'a'.

Then 'r' would equal -5, while 't' would equal -7.

The midpoint is \frac{-7-5}{2} =-6.

Scenario 3.

If 'r' is right of 'a' and 't' is left of 'a'.

Thus 'r' equals 5 and 't' equals -7.

The midpoint is \frac{-7+5}{2}=-1.

Scenario 4.

If 'r' is left of 'a' while 't' is right of 'a'.

In this case, 'r' corresponds to -5 and 't' corresponds to 7.

The midpoint is \frac{-5+7}{2}=1.

The potential midpoint coordinates for 'rt' are 6, -6, 1, and -1.

4 0
1 month ago
Which two points lie on a line with an undefined slope?
PIT_PIT [12445]
The formula for slope is
m = (y2 - y1)/(x2 - x1)

A. m = (5 - 0)/(-2 + 2)
m = (5)/(0)
m = error

B. m = (-2 - 0)/(0 + 2)
m = (-2)/(2)
m = -1

C. m = (2 - 0)/(2 - 0)
m = (2)/(2)
m = 1

D. m = (0 - 0)/(2 - 3)
m = (0)/(-1)
m = 0

the slope that is deemed undefined is the one resulting in an error, which is A
6 0
16 days ago
Read 2 more answers
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