A manufacturer wishes to make a cereal box in the shape of a golden rectangle, based on the theory that this shape is the most pleasing to the average customer. If the front of the box has an area of 135 in^2, What should the dimensions be? round to the nearest inch. a. 16x8 b. 9x15 c. 10x14 d. 11x13​

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.

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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:

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:

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.

Answer:

B

Step-by-step explanation:

please give brainiest I am in need of it

Answer:

The answer is D

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The words used to represent answers to a quadratic equation are

• x- intercepts

• solutions

• roots

• zeros

Answer:

hi answer is 69 solved by Pythagoras theorem

Answer:

7.94

Step-by-step explanation:

We can use the Pythagorean theorem for this

since we know two legs, and not the hypotenuse, we should solve for that

the pythagorean theorem states that a squared + b squared is equal to c squared. C, is the hypotenuse, sos let’s plug it in

16 + 47 = c squared

63 = c squared.

square root 63 = c

c is equal to 7. 94 rounded to the nearest hundered

8 meters

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

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:

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:

156

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

26 for every 1/6

So we multiply 26 times 6 to get the full minute

Answer:

27.5 = CE

Step-by-step explanation:

The two triangles should be similar to each other, so we can set up a ratio of 15:6. This gives us a final ratio of 2.5:1 Multiply EA = 11 by 2.5 to find its corresponding side measure

11*2.5 = 27.5

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:

B. $102.20 on the second day

* if refering to dues in all it would be D. $219.00

Step-by-step explanation:

1. 15 -8 = 7 remaining members

2. 7* the monthly dues - 7*14.60 = $102.20

Answer:

Yes it is a function.

Step-by-step explanation:

It's a function because each input is paired with only one output.

hope this helps and is right :)

Answer:

First one

Step-by-step explanation:

Answer:

[tex]13.69\pi[/tex]

Step-by-step explanation:

here radius (r)=3.7

Answer:

1) $575

2) They'll markup the price by $3,240. After the markup, the retail price is $15,240

Step-by-step explanation:

1)

6% = 0.06

3750(0.06) = 225

225 + 350 = 575

2)

27% = 0.27

12000(0.27) = 3240

Profit = 3240

Price for retailer =  Cost Price +  Profit

Price for retailer = 12000 + 3240

Price for retailer = 15,240

Answer:

106

Step-by-step explanation:

3^4=81

5·5=25

81+25=106

Answer:

B: 2

Step-by-step explanation:

2x+y=8

x-3y=-3

x=3 and y=2

so answer is B: 2

Answer:

The statement that is true about the relationship between ΔXYZ and ΔX'Y'Z' is option "C"

C. ΔX'Y'Z' is a translation of ΔXYZ because all points in ΔX'Y'Z' are the same distance and direction from the corresponding points in ΔXYZ

Step-by-step explanation:

The triangles Bridget drew are;

ΔXYZ and ΔX'Y'Z'

The coordinates of ΔXYZ = X(-5, 7), Y(-9, 2), Z(-3, 2)

The coordinates of ΔX'Y'Z' = X'(1, 2), Y'(-3, -3), Z'(3, -3)

From the coordinates we have;

The x-coordinates of ΔX'Y'Z' = The x-coordinates of ΔXYZ + 6

The y-coordinates of ΔX'Y'Z' = The y-coordinates of ΔXYZ - 5

Therefore, the translation that gives ΔX'Y'Z' from ΔXYZ = T₆, ₋₅

Therefore;

1) ΔX'Y'Z' is obtained from ΔXYZ by a translation as the points in ΔX'Y'Z' are obtained from ΔXYZ by adding the same value to the x-coordinates of the points on ΔXYZ and subtracting the same value to the y-coordinates of the points on ΔXYZ, such that the points in triangle ΔX'Y'Z' are equidistant from and on the same side relative to the corresponding points on ΔXYZ

2) Given that triangle ΔXYZ and ΔX'Y'Z' are not rotated or reflected, we have that the corresponding sides of ΔXYZ and ΔX'Y'Z' are parallel

The correct options are therefore option "C" and and the option "B" is only partially correct because the sides can be parallel but do not have the same size.

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.

Step-by-step explanation:

gradient=∆y/∆x

y=-2,4

x=0,2

y=-2-4

x=0-2

-6÷-2

Ans:3

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:

Mode is 20.

Step-by-step explanation:

Mode is the value or values in the data set that occurs most frequently.

{12, 12.50, 13, 18.50, 20, 20}

20 is the number that occurs most frequently.

hope this helps and is right :)

Answer:

87°F = 30.5556°C

36°C = 96.8°C

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