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3 years ago

How do you solve the compound inequality?

Mathematics

1 answer:

NikAS [45]3 years ago

6 0

Step-by-step explanation:

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

Hopes this helps.

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What is the answer to this?

ella [17]

Your answer is 3/8 , that’s your answer

5 0

3 years ago

Read 2 more answers

What is the area of the shaded region <br> 1cm is in the middle

Archy [21]

Answer:

Area of the shaded region= $128.86\,cm^2$

Step-by-step explanation:

Area of the shaded region=Area of the rectangle-Area of the circle

Area of rectangle= $Length\times Width$

$Length=11\,cm\\Width=12\,cm$

Area is:

$=11\times 12\\\\=132\,cm^2$

Area of the circle = $\pi \times r^2$

$r=1\,cm$

As, $\pi =\dfrac{22}{7} =3.14$

Area of the Circle is :

$=3.14\times 1 \times 1\\\\=3.14\times 1\\\\=3.14\,cm^2$

Area of the Shaded region:

Area of the shaded region $=132-3.14\\\\=128.86\,cm^2$

5 0

3 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

RUDIKE [14]

9514 1404 393

Answer:

$1571

Step-by-step explanation:

If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...

ymax = $1571

The maximum profit the company can make is $1571 at a selling price of $45 each.

_____

The function can be written in vertex form as ...

y = -(x^2 -90x) -454

y = -(x^2 -90x +45^2) -454 +45^2

y = -(x -45)^2 +1571

Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.

8 0

2 years ago

Para ir a visitar a los abuelos Paula y Mario se ponen de acuerdo en que Paula vaya cada 5 días y Mario cada 6 días. Si coincidi

photoshop1234 [79]

Answer:

a) January 24(24 de Enero)

b) Paula will have made 5 visits(Paula habrá hecho 5 visitas). Mario will have made 4 visits(Mario habrá hecho 4 visitas).

Step-by-step explanation:

When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.

In this question:

Paula each 5 days

Mario each 6 days

Multiples of 5: {0, 5, 10, 15, 20,25,30, ...}

Multiples of 6: {0, 6, 12, 18, 24, 30, ...}

a) ¿Cuándo volvieron a coincidir?

lcm(5,6) = 30

30 days from December 24, which is January 24(24 de Enero).

b) ¿Cuántas visitas habrá hecho cada uno?

Paula visits each 5 days.

30 is 6th non-zero multiple of 5. This means that on January 24 will be her 6th visit. So she will have made 5 visits.

30 is the 5th non-zero multiple of 6. This means that on January 24 will be her 5th visit. So he will have made 4 visits.

4 0

3 years ago

The volume of cube x divided by the volume of cube y is 27. What is the side length of cube x divided by side length of cube y

Svetach [21]

If the volume of cube x divided by the volume of cube y is 27, then <span>he side length of cube x divided by side length of cube y would be 3. This is computed by solving the cube root of 27, since the side of the cube was multiplied thrice to get the volume so when geeting the side of the cube it is best to have the number be in cube root form.</span>

4 0

3 years ago