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.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls