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saveliy_v [14]
2 years ago
10

The student government wants to determine the theme for the eighth grade dance. Which group would it be best to take a sample fr

om?
Mathematics
2 answers:
Serga [27]2 years ago
7 0
To ask the 8th graders
Juliette [100K]2 years ago
5 0
The best group to take a sample from would be the eighth graders because they are the ones who will be participating in the dance, so they should have the most input.
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Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two dist
Lera25 [3.4K]

Answer:

Sum = -81

Step-by-step explanation:

See the comment for complete question.

Given

c = 36 ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

x^2 + ax + 36 = 0

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

x = -\alpha and x = -\beta

Using the above roots, the equation can be represented as:

(x + \alpha)(x + \beta) = 0

Open brackets

x^2 + (\alpha + \beta)x + \alpha \beta = 0

To compare the above equation to x^2 + ax + 36 = 0, we have:

a = \alpha + \beta

\alpha \beta = 36

Where: \alpha, \beta and \alpha \ne \beta

The values of \alpha and \beta that satisfy \alpha \beta = 36 are:

\alpha = -1 and \beta = -36

\alpha = -2 and \beta = -18

\alpha = -3 and \beta = -12

\alpha = -4 and \beta = -9

So, the possible values of a are:

a = \alpha + \beta

When \alpha = -1 and \beta = -36

a = -1 - 36 = -37

When \alpha = -2 and \beta = -18

a = -2 - 18 = -20

When \alpha = -3 and \beta = -12

a = -3 - 12 = -15

When \alpha = -4 and \beta = -9

a = -4 - 9 = -13

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

Sum = -37 -20 -15 - 9

Sum = -81

7 0
1 year ago
The experimental probability that Kevin will catch a fly ball is equal to 7/8. About what percent of the time will Kevin catch a
Paladinen [302]

Answer:

87.5% percent chance.

Trust me it's right.

6 0
1 year ago
Mirela has a rectangular piece of paper with an area of 0.35 m2. She cuts the paper into small rectangles with areas of 700 cm2.
lakkis [162]

Answer:

5.

Step-by-step explanation:

0.35 m^2 = 0.35 * 100 * 100 =  3500 cm^2  ( as there is 100 cm in a meter).

So the maximum number of small rectangles she can cut

=  3500 / 700

= 5.

6 0
1 year ago
oint Q is plotted on the coordinate grid. Point P is at (40, −20). Point R is vertically above point Q. It is at the same distan
JulsSmile [24]

Answer:

The Awnser Is C

Step-by-step explanation:

Hope This Helps! Have A Great Day

8 0
1 year ago
Read 2 more answers
A business breaks even when the production costs are equal to the revenue. The expression 120+4x represents the cost of producin
nika2105 [10]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.

<u>The net income formula:</u>

y= (5 - 4)x - 120

(5-4)= contribution margin per unit sold (x)

120= fixed costs

<u>To calculate the break-even point in units, we need to use the following formula:</u>

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 120 / 1

Break-even point in units= 120 units

Prove:

y= 1*120 - 120

y= 0

5 0
1 year ago
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