The number is 66.
Solution:
Let the number be x.
To find the number x using given conditions.
Start with the last condition.
It is less than 7 times 8 + 23 = 7 × 8 + 23 = 79
So, the number is less than 79 which implies x < 79.
Using condition (4),
It is greater than 5 times 4 = 5 × 4 = 20
So, the number is greater than 79 which implies x > 20.
Combining condition (4) and (7), we get 20 < x < 79.
Using condition (3) and (5),
The number is a multiple of 11 and 6.
The number which is multiplied by both 11 and 6 is 66, 132, ...
But here x lies between 20 < x < 79.
So x = 66.
66 is not odd number and the sum of the digits is divisible by 2.
Therefore condition (1) and (2) also satisfied.
Hence the number is 66.
The root are x=3 and x=-1
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Answer:
5. 1
6. Kari is not correct.
Step-by-step explanation:
5. All like terms can be combined. There will be one term remaining after they are.
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6. The appropriate factoring is x(x+1). This is not the same as x(2x+1).
In order to show equivalence, you need to show that the expressions produce the same result for as many different values of x as the degree of the expression plus 1. That is, you'd need to show equivalence for <em>3 different values of x</em>, as a minimum for this second-degree expression.
Consider inequality 
This inequality is equivalent to inequality 
This means that 
The greatest integer number n, such that 
when dividing by 7 gives the remainder 4 is 39. Then subtract 7, you get 32, then 25 and so on.
When n=-39, -32, -25, -18, -11, -4, 4, 11, 18, 25, 32, 39 then dividing by 7 the remainder is 4.
Answer: 12 integers.
Answer:
<em>y = - </em>
<em> x + 3 </em>
Step-by-step explanation:
y = mx + b
m = 
and "b" is y-intercept with coordinates (0, b)
(0, 3) ⇒ <u><em>b = 3</em></u>
(4, 1), (6, 0)
m = 
= -
<em>y = - </em><em> x + 3</em>
