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2 years ago

Please help Algebra . ASAP

Mathematics

1 answer:

Norma-Jean [14]2 years ago

8 0

4 different salads, 7 different main courses, and 6 different desserts

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Six people are sitting around a circular table, and each person has either blue eyes or green eyes. Let x be the number of peopl

Slav-nsk [51]

Answer:

Step-by-step explanation:

Given that:

Six people are sitting around a circular table

and each person has either blue or green eyes.

So; we are told to represent x as the number of people sitting next to at least one blue-eyed person

and y be the number of people sitting next to at least one green-eyed person.

The objective is to find how many possible ordered pairs (x,y) are there?

The ordered pairs (x,y) i.e ( blue , green) are : ( (6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3) ).

The above proves the ordered pairs for at least as blue as green.

Now; to determine the ordered pairs for as many green as blue, we will require to go the opposite direction by reversing the values; so we can arrive at a new values of 10 possible outcomes which are as follows:

(6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3), (3, 5), (4, 6), (2, 6), (0, 6)

3 0

2 years ago

Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in

maw [93]

Firstly, we need to understand the formula of point-slope form:
$y1 - y2 =m( x1 - x2)$

Where x and y is the coordinates and m is the slope respectively.

To find the slope:
$\frac{y1 - y2}{x1 - x2}$
In this case:
$\frac{5 - 4}{ - 3 - ( - 1)} \\ = \frac{1}{ - 3 + 1} \\ = - \frac{1}{2}$

We can then put the above slope and the point (-1,4) into the formula:

4-y = -1/2(-1-x)
-y = 1/2+1/2x-4
y = -1/2x+7/2

Alternatively:

y-4=-1/2(x-(-1))
y=-1/2x-1/2+4
y = -1/2x+7/2

Therefore the answer is y = -1/2x+7/2.

Hope it helps!

8 0

2 years ago

Read 2 more answers

I need your guys help please as soon as possible!

lesya [120]

Answer:

4(6)/2=12 + 4(4)/2= 8

12+8= 20 sq units

4 0

3 years ago

Read 2 more answers

A model of a rectangular patio at a landscaping business will be enlarged by a scale factor of 2 when it is installed in a custo

VARVARA [1.3K]

Answer:

C) The area of the landscape model is A = 40 sq ft.

Step-by-step explanation:

The original dimensions of the rectangular patio model is

Length = L

Width = W

Area of the patio model = LENGTH x WIDTH = L x W

⇒ A = L W ............. (1)

Now, the new area A" is enlarged by a factor of 2

⇒ The new Length = L" = (2 L)

The new Width = W" = (2 W)

So, AREA" = L" x W" = (2 L) x (2 W) = 4 (L W)

⇒ A " = 4 (L W)

But, L W = A .. from (1)

⇒ A" = 4 A

But, the area of the new enlarged patio is 160 square feet.

⇒ 160 sq ft = 4 x A

or, A = 160 / 4 =40 sq ft

⇒ A = 40 sq ft.

Hence, the area of the landscape model is A = 40 sq ft.

5 0

3 years ago

Read 2 more answers

graph the parabola y equals negative x squared + 3 to graph a parabola plot the vertex and four additional points two on each si

Nataliya [291]

You don't have the graph icon here, so we'll have to graph this parabola without it.

Your parabola is y = -x^2 + 3., which resembles y = a(x-h)^2 + k. We can tell immediately that this parabola opens down and that the vertex is (0,3).

Plot (0,3). Besides being the vertex, this point is also the max. of the function.

Now calculate four more points. Choose four arbitrary x-values, such as {-2, 1, 4, 5} and find the y value for each one. Plot the resulting four points. Draw a smooth curve thru them, remembering (again) that the vertex is at (0,3) and that the parabola opens down.

6 0

2 years ago