1) A
the lowest number is -3 and as it goes on, the number gets bigger and bigger therefore x must be larger than -4 but <u>not</u> equal to it.
2) D
the largest number is 9 and as it goes on, the number gets smaller therefore x must equal to and less than 9.
3) D
the largest number is 0 and the arrows points towards the negative numbers and the solid dot tells us that x can be equal to the number therefore the x must be equal to or less than 0.
4) A
the smallest number is -6 and the arrow points towards the positive numbers and the open dot tells us that x does not equal that number therefore x must be greater than -6 but <u>not</u> equal to it.
Answer:
(1, -2)
Step-by-step explanation:
Subtracting the first equation from the second gives ...
(5x +y) -(3x +y) = (3) -(1)
2x = 2 . . . . . collect terms
x = 1 . . . . . . . divide by 2
Then substituting into the first equation, we have ...
3·1 +y = 1
y = -2 . . . . . . subtract 3
The solution is (x, y) = (1, -2).
<span>(-5 + 7i) + (4 + 9i)
Due to the </span><span>Associative Property of Addition, we can drop the parentheses. This is because parentheses are only used to change the order that operations are performed, and addition is not affected by order.
</span>(-5 + 7i) + (4 + 9i) = -5 + 7i + 4 + 9i
-5 + 7i + 4 + 9i
Now, let's simplify by combining like terms.
But first, let's define and identify the terms.
Terms are the values, such as variables and numbers, that are separated by operation signs, such as + and -.
In this case, the terms are:
-5
7i
4
9i
So what does it mean to combine like terms?
Like terms are terms with similar variables (such as 1x and 2x). If the number is not a coefficient of a variable, then it is a like term with all the other numbers that aren't coefficients.
Example:
Let's say we have terms 1, 2, 1x, and 2x.
1x and 2x have coefficients of 1 and 2 and are attached to the same variable, x.
1 and 2 are not coefficients, they're just numbers. This makes them like terms.
In this case:
In this case, our terms are -5, 7i, 4, and 9i.
The like terms in this case are -5 and 4, as well as 7i and 9i.
To combine like terms, add the terms that are alike.
-5 + 4 = -1
7i + 9i = 16i
So by combining like terms, we can simplify this expression to -1 + 16i, or 16i - 1.
16i - 1 cannot be simplified further, so this is the answer to (-5 + 7i) + (4 + 9i).
Answer:
16i - 1
Hope this helps!
Let x be the amount of weeks.
60 + 7x = 120
60 - 60 + 7x = 120 - 60
7/7x = 60/7
x = 8.571428571
