Sarah was asked to solve this word problem the product of two consecutive integers is 156 what are the integers? What type of equation should she create a soda

The numbers are 12 and 13 and -13 and -12. It's a quadratic equation.

Step-by-step explanation:

Integers are "whole" numbers, they don't have decimals, so if two integers are consecutive they can be related by a sum of 1, if one integer can be called "x" and the next one can be called "y" then y = x + 1. In this case the product of the two must be 156 so we have:

x * y = 156

We can apply the equation that relates the two integers in order to obtain only one variable, such as:

x *( x + 1) = 156

x^2 + x = 156

x^2 + x - 156 = 0

We have two possible values for x:

x1 = (-1 + sqrt(1^2 - 4*1*(-156)))/(2*1)

x1 = (-1 + sqrt(1 + 624))/2 = (-1 + sqrt(625))/2

x1 = (-1 + 25)/2 = 24/2 = 12

x2 = (-1 - 25)/2 = -26/2 = -13

For x1 we have:

y = x + 1 = 12 + 1 = 13

And for x2 we have:

y = -13 + 1 = -12

The numbers are 12 and 13 and -13 and -12.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

area of rectangle a is 2 times that of rectangle b that means 2x+x =   36cm^2

3x = 36cm ^2

x = 36/3

x= 12cm^2

and 2x = 24cm^2

now side of square = are divided by sides = 36/4 = 6cm

that means length of rectangle a and b is 6cm too

now for rectangle a,

l*b = area

= 6*y=24

y=24/6 = 4

therefore dimensions of rectangle a are- length = 6cm, breadth = 4cm

and for rectangle b, length = 6cm and breadth = 6-4 = 2cm.

hope this .