Enter the appropriate abbreviations.

Hello, the product of the roots is

[tex]\dfrac{3p}{2}[/tex]

So, if there are reciprocal roots, their product is 1, and then

[tex]\dfrac{3p}{2}=1<=> p=\dfrac{2}{3}[/tex]

Thank you

Answer:

x = 250,000

Step-by-step explanation:

A = P(1 + rt)

550,000 =  x (1 +2% x 60)

550,000/(1 +2% x 60) = 250,000

x = 250,000

Check your answer

A = 250,000 (1+2%x60)

A = 550,000

pls mark brainliest

Answer:

  ∠HDG = 87°

Step-by-step explanation:

The angle made by two tangents is the supplement of the intercepted arc.

  ∠HDG = 180° -HG = 180° -93°

  ∠HDG = 87°

Answer:

y = (x - 8)² - 47

Step-by-step explanation:

x² - 16x + 17 = 0

x² - 16x = -17

(-16) / 2 = -8

-8² = 64

x² - 16x + 64 = -17 + 64

(x - 8)² = 47

y = (x - 8)² - 47

Answer:

zero

Step-by-step explanation:

Pearson correlation coefficient represented by r is calculated by dividing  the covariance by the standard deviation of one variable(x) multiply by the standard deviation of the other variable(y).

A scatter plot diagram is a graphical display of data that in which these two variables are observed simultaneously.

A positive correlation is said to have a positive slope which means that the two variable x and y increases in x as there is increase in y.

On the other hand , when there is an increase in x and a decrease in y, the correlation between x and y is said to be negative and the corresponding regression line has a negative slope.

Occasionally, there may be no apparent association between x and y. In that wise, the data in the scatter plot diagram usually form a nearly perfect circle and are said to have a zero correlation.

Answer:

-2x +18 or 18 - 2x

Step-by-step explanation:

You have 3x and you have -5x so take 5 away from 3 to get -2x

Then you have +8 and +10 so add them together and you get an answer of 18

Put the two answers from the equation together and you have got 18-2x

Hope this helps :)

Start by changing the problem to 3x + 8 + -5x + 10.

Combine like terms → your numbers and your "x" terms.

So 3x + -5x is -2x and 8 + 10 is 18.

So the answer is -2x + 18.

Step-by-step explanation:

From the figure we observe :

Length of laundry room (G) = C - H

G = (4x - 2) - (x + 6) = 3x - 8

Breadth of laundry room (F) = K - E

F = (2x - 5) - (x - 13) = x + 8

(A) Perimeter = 2(L + B)

= 2(4x)

= 8x

(B) Area = L * B

= (3x - 8) * (x + 8)

= 3x^2 + 16x - 64

Answer:

B

Hoped I helped

Answer:

x = 15

Step-by-step explanation:

Angle Formed by Two Secants = 1/2(DIFFERENCE of Intercepted Arcs)

2x +15 = 1/2 (10x+20 - 80)

Multiply by 2

4x+30 = (10x+20 - 80)

Combine like terms

4x+30 = 10x-60

Subtract 4x from each side

30 = 6x-60

Add 60 to each side

90 =6x

Divide by 6

15 =x

Answer:

B.) 15

Step-by-step explanation:

I got it correct on founders edtell

Answer:

x=14.5

Step-by-step explanation:

2x+5+6x-1=120​

Combine like terms (combine all of the variables and then combine all of the constants)

8x+4=120

subtract 4 on both sides

8x=116

Divide 8

x=14.5

Hope this helps!

Answer:

1.625

Step-by-step explanation:

So you have to convert the 5/8ths into something that can go into 10.

So 100/8 is equivalent to 12.5. But you'll have to make that into decimal form, so move that 2 places to the right, to get 0.125. 0.125 times 5 is 0.625. And 1 is just 1 as a whole number. 1 plus 0.625 is 1.625.

The decimal form of the given number [tex]1\frac{5}{8}[/tex] is 1.625

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Given is a fractional number  [tex]1\frac{5}{8}[/tex], we need to find the decimal form of it,

Converting  [tex]1\frac{5}{8}[/tex] into fraction,

[tex]1\frac{5}{8}[/tex] = 13/8

When we divide 13 by 8, we will get 1.625

Hence, the decimal form of the [tex]1\frac{5}{8}[/tex] is 1.625

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Answer:

[tex]\huge \boxed{\mathrm{10,000}}[/tex]

Step-by-step explanation:

We have to estimate the two numbers, we can round up the two numbers to nearest tens.

Estimate 52 to 50.

52 ≈ 50

Estimate 188 to 200.

188 ≈ 200

The estimated product would be:

200 × 50 = 10,000

Answer:

10000

Step-by-step explanation:

pls mark as brainliest

Answer:

a...is wrong because it doesnt have a common denominator ..and its not a rational exponent .

11/12=0.916

in second one denominators are common and it is a rational exponent .

so the answer is b..

2/12=1/6

9/12=3/4

as you can see the denominator are common and its a rational exponent .

Answer:

[tex]\Huge \boxed{12x^2 +16x-3}[/tex]

Step-by-step explanation:

[tex](6x - 1)(2x +3)[/tex]

Expand brackets using the FOIL method.

[tex]6x(2x +3)-1(2x+3)[/tex]

[tex]12x^2 +18x-2x-3[/tex]

Combine like terms.

[tex]12x^2 +16x-3[/tex]

Answer:  12[tex]x^{2}[/tex] +16x -3

Step-by-step explanation:

Multiply the numbers by applying the distributive property twice.  

2x(6x -1)  =   12x^2  - 2x  

3( 6x -1) =     18x - 3  

Now put them together.

12[tex]x^{2}[/tex]- 2x + 18x -3        Combine likes terms

12[tex]x^{2}[/tex]  +16x - 3

Answer:

The total cost C  = $10 + $0.05·x

Step-by-step explanation:

The given parameters are

The cost of the cell phone plan per month = $20

The number of minutes of free calls that one can make in a month = 200 minutes

The cost of additional minutes of cell phone call = 5 cent

5 cents to a dollar = $0.05

The total number of minutes of calls made in a month = x

The time duration of a person's usage of the cell phone in a month > 200 minutes

The total cost C of a person's usage per month is given by;

C = $20 + $0.05 × (x - 200) = $20 + 0.05·x - $10

C = $10 + $0.05·x

Where x > 200.

Answer:

The total cost C  = $10 + $0.05·x

Step-by-step explanation:

Answer:

Sorry but all I know is that part a is 6 pounds will cost $18

Step-by-step explanation:

Answer:

Hey there!

7(3x-1)-(x+5)=-52

21x-7-x-5=-52

20x-12=-52

20x=-40

x=-2

Answer:

Step-by-step explanation:

The measure of right angle is 90°

The sum of measures of angles in any triangle is 180°

so:

m∠Q + m∠S + ∠R = 180°

m∠Q + m∠S + 90° = 180°

m∠Q + m∠S = 180° - 90°

m∠Q + m∠S = 90°

In right triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.

"Right triangle is defined as the two dimensional figure with three sides and three vertices and angles enclosed in it, with one of the interior angle is of 90°."

Condition used

In ΔQRS

∠Q +  ∠R + ∠S = 180°

According to the question,

Given,

In right triangle ΔQRS,

∠R = 90°

Substitute the value in the above condition of triangle we get,

  ∠Q + 90° + ∠S =180°

⇒ ∠Q + ∠S =180°- 90°

⇒∠Q + ∠S = 90°

Hence, in right  triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.

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Answer:

8cm

Step-by-step explanation:

8 because [tex]\sqrt[3]{8}[/tex] is 2

Answer:

672 cubic cm

Step-by-step explanation:

Hello!

To find the volume of a rectangular prism we use the equation

V = whl

V is volume

w is width

h is height

l is length

Put in what we know

V = 8 * 6 * 14

Solve

V = 672 cubic cm

The answer is 672 cubic cm

Hope this helps!

Answer:

x = 0

Step-by-step explanation:

two congruent angles 2x + 30 and 5x + 30

2x + 30 = 5x + 30

2x = 5x

2x + (-5x) = 5x + (-5x)

-3x = 0

x = 0 / -3

x = 0

The value of x will be;

⇒ x = 0

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.

Now,

Since, Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.

Hence, We get;

⇒ 2x + 30 = 5x + 30

Solve for x as;

⇒ 30 - 30 = 5x - 2x

⇒ 0 = 3x

⇒ x = 0

Thus, The value of x = 0

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Answer:

73 numbers

Step-by-step explanation:

36²

=36 × 36

=1,296

37²

=37 × 37

=1,369

The total number that lies between 36² and 37² = 37² - 36²

=1,369 - 1,296

= 73 numbers

This is to say that, there are 73 numbers between 36² (1,296 ) and 37² ( 1,369)

Answer:

AB = 10.6 cm

Step-by-step explanation:

In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, m angle G=80 degrees, and m angle H=55 degrees. If triangle ABC GHF, which statement is true?

A. AB = 12.3 cm

B. AB = 10.6 cm

C. M angle C=55 degrees

D. M angle C=80 degrees

Answer:

If triangle ABC ≅ GHF, This means triangle ABC is congruent to triangle GHF.

Two triangles are congruent if the three sides and three angle of one triangle is equal to the three sides and three angle of the other triangle.

Hence the corresponding sides and angles of triangle FGH is equal to the corresponding side and angle of triangle ABC.

AB = GH

AB = 10.6 cm

m∠F + m∠G + m∠H = 180° (sum of angles in a triangle)

m∠F + 80 + 55 = 180

m∠F + 135 = 180

m∠F = 180 - 135 = 45

m∠F = 45°

m∠F = m∠C

m∠C = 45°

Answer:

its B

Step-by-step explanation:

Answer:

26cm²

Step-by-step explanation:

Parallelogram: 4x5=20

Triangle: 1/2(3)(4)=6

Total = 20+6=26cm²

This is the same as [tex](x-2)^2[/tex]

============================================

Explanation:

The middle coefficient is -4 and the last term is 4.

We need to find factors of the last term that add to the middle coefficient.

Here is a list of all ways to multiply two integers to get 4, and the sum of each pair of factors.

The second row of that list above is what we're after. So

-2 + (-2) = -4

-2 * (-2) = 4

Meaning the factorization is (x-2)(x-2). Note the "-2" values in each factor

We can use the FOIL rule or distribution to go from (x-2)(x-2) back to x^2-4x+4 to confirm the answer.

Answer:

1.) -11x        2.)-2x

Answer:

p = -6.5

Step-by-step explanation:

Given:

Solving for p:

Option 2 is correct in the list

Answer:

99.4%

Step-by-step explanation: 2500 - 15 = 2485

2485/2500 = 0.994 x 100 = 99.4%

Answer:

99.4%

Step-by-step explanation:

Total number of people tested = 2500

People who had allergic reaction = 15

People who didn't have allergic reaction = 2500 - 15 = 2485

Percentage = Part of a whole / The whole

=> 2485 / 2500

=> 497 / 500

=> .994

To convert a decimal into percent:

=> We need to make the decimal point move 2 times to the right

=> .994

=> 99.4%

So, 99.4% of the people who were tested, didn't have an allergic reaction.

Answer:

[tex]\boxed{j=19}[/tex]

Step-by-step explanation:

Hey there!

Given the following,

16 = j -3

Single out j

+3 to both sides

19 = j

Hope this helps :)