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3 years ago

Find the possible values of p

Mathematics

1 answer:

Tomtit [17]3 years ago

3 0

, 2p+3)x2+(4p−14)x+16p+1=0
has coincident roots.

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3, 9, 10, 5, 8, 5, 9, 11, 10, 3, 10 Find the mean of the data.

slava [35]

Answer:

7.55

Step-by-step explanation:

An arithmetic mean is the average value of all the data points.

In order to find the average value, you add all the data points then divide the resulting sum by the number of data points there are.

The sum of all data points:

3 + 9 + 10 + 5 + 8 + 5 + 9 + 11 + 10 + 3 + 10 =

The number of data points:

3, 9, 10, 5, 8, 5, 9, 11, 10, 3, 10

1,2,3,4,5,6,7,8,9,10, 11 = 11 data points

Average value/ Mean:

83 / 11 = 7.545454545454 = rounded to 7.55

7 0

3 years ago

What is a supplement angle

s2008m [1.1K]

Answer: either of two angles whose sum is 180°.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Solve the following equation. then place the correct number in the box provided. 2x + 1 < 9

allsm [11]

I think the answer is 4

8 0

3 years ago

Check whether x² +4x +4 is prefect spuare expression or not . if so factorise the expression<br>

irinina [24]

Answer:

It is a perfect square expression.

It factors to (x+2)^2

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Explanation:

The general format for a perfect square is

(a+b)^2 = a^2 + 2ab + b^2

Which can be seen through the use of the FOIL rule.

Compare x^2+4x+4 with a^2+2ab+b^2, and we have these three equivalences:

x^2 = a^2 .... first terms
4x = 2ab .... middle terms
4 = b^2 .... last terms

Since x^2 = a^2, we can apply the square root to both sides to get a = x. Similarly, 4 = b^2 leads to b = 2. We could get b = -2, but that would mean 2ab = 2x*(-2) = -4x instead of 4x. So we'll stick with b = 2 instead.

Because a = x and b = 2, we then can say:

(a+b)^2 = a^2 + 2ab + b^2

(x+2)^2 = x^2 + 2*x*2 + 2^2

(x+2)^2 = x^2 + 4x + 4

Showing that x^2+4x+4 factors to (x+2)^2.

7 0

3 years ago

Jerrica is selling calendars to raise money for a community group she belongs to. A basic calendar sells for $10 and a deluxe ca

Sidana [21]

The correct answer is option B.

Let the basic calendars be = x

Let the deluxe calendars be = y

Total calendars are = 72 , so equation becomes:

$x+y=72$ .............(1)

Cost of 1 basic calendar = $10

So, cost of all basic calendars will be = 10x

Cost if 1 deluxe calendar = $15

So, cost of all deluxe calendars = 15y

As given, the number of deluxe calendars must be greater than or equal to 3 times the number of basic calendars, the equation becomes

y=3x ...............(2)

Putting the value of y from (2) in (1)

$x+y=72$

$x+3x=72$

$4x=72$

x=18

As, y=3x

y= $3\times18=54$

So we have 18 basic calendars and 54 deluxe calendars.

Cost of 18 basic calendars will be= $18\times10=180$

Cost of 54 deluxe calendars will be = $54\times15=810$

So total amount is = $990

Hence, the maximum revenue is $990.

4 0

3 years ago

Read 2 more answers