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The required value of p and q for the factor of the expression x² - 4x - 12 is -6 and 2.

Correct option is (C).

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

x² - 4x - 12.

To determine the factor, solve the expression,

x² - 6x + 2x - 12

x(x - 6) + 2(x - 6)

Take (x - 6) common,

(x - 6)(x + 2)

According to the given condition, the factors are (x + p)(x + 1)

Compare the values,

p = -6 and q = 2

The values of p and q are -6 and 2.

To know more about Algebraic expression on:

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8 meters

To calculate area you multiply length x width. So, 8 x 1 = 8

Answer:

see explanation

Step-by-step explanation:

The words used to represent answers to a quadratic equation are

• x- intercepts

• solutions

• roots

• zeros

Answer:

(4)2

4×4=16 or

(2)4

2×2×2×2=16

both are correct ☺️

Step-by-step explanation:

hope it helps you have a good day

Step-by-step explanation:

gradient=∆y/∆x

y=-2,4

x=0,2

y=-2-4

x=0-2

-6÷-2

Ans:3

Respuesta:

Se realizaron 256 llamadas telefónicas

Explicación paso a paso:

Número de pisos = 4

Número de habitaciones por piso = 4

Número de personas por habitación = 4

Número de llamadas telefónicas por persona = 4

Número total de llamadas telefónicas realizadas;

Número total de personas alojadas en el hotel:

Número de pisos * número de habitaciones por piso * número de personas por habitación

(4 * 4 * 4) = 64 personas

Número de llamadas telefónicas realizadas:

64 personas * 4 = 256 llamadas telefónicas

Answer: 10 ¹/₂ miles per gallon

Step-by-step explanation:

The gas mileage of the camper refers to the distance (in miles for this question) that the camper can travel on 1 gallon of gas.

The camper can travel 3¹/₂ miles on ¹/₃ gallons so the mileage is:

= Distance traveled/ Gallons used

= 3¹/₂ ÷ ¹/₃

= 7/2 * 3/1

= 21 / 2

= 10 ¹/₂ miles per gallon

Answer:

First one

Step-by-step explanation:

Answer:

[tex]13.69\pi[/tex]

Step-by-step explanation:

here radius (r)=3.7

Answer:

Step-by-step explanation:

Given p>0, multiply the equation by 4p:  (1/4p)*(x-h)^(2)+k=0

(x-h)^2+4kp = 0

k>0

4kp>0

(x-h)^2 = -4kp

So x has imaginary roots only. There is no real zeros of the polynomial.

k=0

4kp=0

(x-h)^2 = 0

x=h

So x has one real root and the polynomial has one zero

k<0

4kp<0

(x-h)^2 = -4kp

So x has two real roots and the polynomial has two real zeros.

Answer:

Step-by-step explanation:

Assume that  and multiply the equation  by 4p. Then you obtain the equation (x-h)^2+4pk=0.

1) If k>0, then 4pk>0 and the equation does not have real solutions and there is no zero.

2) If k=0, then 4pk=0 and . There is one solution x=h and there is one zero.

2) If k<0, then 4pk<0 and the equation  has two different solutions and there are two zeros.

Answer:

10⁰×10¹-1¹⁰ < 10⁰×10¹×1¹⁰ < 10⁰+10¹×1¹⁰ < 10⁰+10¹+1¹⁰

Step-by-step explanation:

10⁰×10¹-1¹⁰ = 9

10⁰×10¹×1¹⁰ = 10

10⁰+10¹×1¹⁰ = 11

10⁰+10¹+1¹⁰ = 12

Answer:

252 cm cubed

Step-by-step explanation:

29 cm 3

you multiply 1,2,3 and you get 6 !! and then you do 7,1,2, and you get 14 then you take 6 plus 14 = 20 !!

Answer:

add them

Step-by-step explanation:

500.34 + 4333 =4833.34

Answer:

Walden’s data ranges from 2 to 4, and Drake’s data set ranges from 3 to 9. Drake’s data set has a greater spread than Walden’s data set.

Step-by-step explanation:

Answer:

3.15GB

Step-by-step explanation:

1000MB = 1GB

1000MB*5 = 5000MB

5000/100*37% = 1850MB USED

SO, 5000-1850 = 3150MB = 3.15GB

Answer:

27*

Step-by-step explanation:

The angles in a triangle will ALWAYS add up to 180*

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Let's follow the pattern and see what we find.

1 x 3 = 3

3 - 2 = 1

Hang on, we ended up with the same number we started with!

It's a never-ending loop. The answer will always be 1.

1 is also an odd number.

1 ends in, well, 1.

Therefore, all of those are true.

Hence, B.

See attachment for reply.

Answer:

B = (10, 9 )

Step-by-step explanation:

Using the midpoint formula

M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A(- 2, 3) and (x₂, y₂ ) = B(x, y) , then equate to the x and y coordinates of the midpoint M(4, 6)

[tex]\frac{-2+x}{2}[/tex] = 4 ( multiply both sides by 2 )

- 2 + x = 8 ( add 2 to both sides )

x = 10

and

[tex]\frac{3+y}{2}[/tex] = 6 ( multiply both sides by 2 )

3 + y = 12 ( subtract 3 from both sides )

y = 9

Then B = (10, 9 )

Answer:

e=48

Step-by-step explanation:

1/4e=12

Multiply both sides by 4;

4*1/4e=12*4

Simplify ;

e=48

Hope this helped!!!

Answer:

B: 2

Step-by-step explanation:

2x+y=8

x-3y=-3

x=3 and y=2

so answer is B: 2

Answer:

=5x⁴+3x

=-2x+4

=8x+4

=-2x-4

Step-by-step explanation:

hope it's help

Answer:

1/3

Step-by-step explanation:

rate of change is y/x

so take the first y (5) and the first x (15)

and divide them

5/15= 0.333333333...

0.33... is 1/3

Answer:

The movie was found to be delightful and entertaining by viewers.

Answer:

D. The movie was found to be delightful and entertaining by viewers.

Hope this helps.

Answer:

y - 24 = - 7(x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 24) and (x₂, y₂ ) = (7, - 53)

m = [tex]\frac{-53-24}{7+4}[/tex] = [tex]\frac{-77}{11}[/tex] = - 7

Using m = - 7 and (a, b) = (- 4, 24 ) , then

y - 24 = - 7(x - (- 4)), that is

y - 24 = - 7(x + 4)

Answer:

87,178,291,200 ways

Step-by-step explanation:

Number of songs = 14

To Form an album with the 14 songs, the number of ways at which the 14 songs can be arranged is obtained by calculating the factorial of the number of songs ;

Number of ways in which the 14 songs can be arranged :

14! = (14 * 13 * 12 * 11* 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) = 87178291200 ways