Translate each sentence into an equation. then find each number.
the difference between four times a number and six is –46.
question 1 options:

Equation: 4x - 6 = -46

Solution: x=10.

Step-by-step explanation:

The difference between four times a number and six translated into a equation is: 4x - 6 = -46.

Solving for 'x'we have:

4x = -46 + 6  ⇒ 4x = -40 ⇒ x = 10.

Then, the solution is: x=10

4x - 6 = -46

x = -10

Step-by-step explanation:

We are given the following sentence equation into a mathematical equation and then solve it to find each number:

The difference between four times a number and six is –46.

Translating it in chunks to make it easier:

1) The difference between ---> means there is a subtraction sign

2) four times a number ---> assuming x to be the number ---> 4x

3) and six ---> 6

4) is -46 ---> = -46

Combining these to get:

x = -10

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

answer: 1 and 3

step-by-step explanation: