The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number? x2 + 1 = 420 x2 + 2 = 420 x2 + x = 420 x2 + 2x = 420

The answer is x^2 + x =420

Step-by-step explanation:

It is given that

The product of two consecutive integers is 420

Le x be the first number, then

second number is the next consecutive number of x which is (x +1)

The product of these numbers can be written as

x (x + 1) which is equal to 420

x (x + 1)  = 420

x^2 + x = 420

So the quadratic equation is

x^2 + x = 420

Step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -