The small number is 2.
The large number is 3.
<u>Step-by-step explanation:</u>
Let the two consecutive numbers be x and x+1.
- x be the small integer.
- x+1 be the large integer.
The sum of these two consecutive integers = small integer + large integer
The sum of these two consecutive integers is x+x+1 = (2x+1)
It is given that,
- The sum of two consecutive integers is one less than three times the smaller integer.
- This means that, (2x+1) is one less than three times the smaller integer.
- Here, the small integer is represented as x.
<u>Therefore, it can determined that :</u>
(2x+1) = 3x-1
Keeping x term on one side and constants on other side,
3x-2x = 1+1
x = 2
Therefore, the small number is 2 and the large number is x+1 = 3.
ANSWER

EXPLANATION
The given function is;

The constant term is 11.
The coefficient of the leading term is 5.
The factors of 11 are ±1,±11
The factors of 5 are ±1,±5
According to the Rational roots Theorem,
the potential roots are obtained by expressing the factors of the constant term over the coefficient of the leading term.

Answer:she made 12 two points basket.
Step-by-step explanation:
Let x represent the number of baskets that were worth two points.
Let y represent the number of baskets that were worth three points.
Anaya makes 14 baskets during her game.
This means that
x + y = 14
Some of these baskets were worth two points and others were worth three points. In total she scored 30 points. His means that
2x + 3y = 30 - - - - - - - - - -1
Substituting x = 14 - y into equation 1, it becomes
2(14 - y) + 3y = 30
28 - 2y + 3y = 30
- 2y + 3y = 30 - 28
y = 2
Substituting y = 2 into x = 14 - y, it becomes
x = 14 - 2
x = 12
Answer:
120
Step-by-step explanation: