Answer:
-y^(2)+x+y
Step-by-step explanation:
Answer:
the limit does not exist
Step-by-step explanation:
As x approaches π/2 from below, tan(x) approaches +∞. A x approaches π/2 from above, tan(x) approaches -∞. These two limits are not the same, so the limit is said not to exist.
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For a limit to exist, it must be the same regardless of the direction of approach.
Answer:
The answers are below
Step-by-step explanation:
The greater sign is > and the less then symbol is <
Using the red arrows on the number line, you can tell which one is bigger or less. The dot is colored in so it has to have a line under it. So for the first one (top, left), The red arrow is pointing to the right side meaning x is bigger than 3. Therefore x ≥ 3.
In the next one (top, right) the arrow is pointing to the negative side so that one must be less than 3. The dot is also colored in meaning it is: x ≤ 3
In the next one (bottom, left) the arrow is pointing to the right, the dot not colored in, so it has no line. Therefore it is x > 3
Last one (bottom right) the arrow is pointing left, dot is white meaning that the answer is x < 3
If you're wondering what the open dots and closed dots mean:
An open dot is used to show that the ray's endpoint is not a component of the solution when the inequality is "strict" ( < or >).
A closed dot is used to denote that the endpoint is a component of the solution for the other types of inequalities (≥ and ≤ ).
Answer:
Mrs. Gonzales can buy a maximum of 7 bracelets.
Step-by-step explanation:
A shirt costs $28 total.
Bracelets cost $4.50 each total.
Mrs. Gonzales has $63.50 in all, assuming she wants to spend all of it.
Set the equation, let bracelets be denoted by the variable, x.
4.50x + 28 = 63.50
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:
4.50x + 28 (-28) = 63.50 (-28)
4.50x = 63.50 - 28
4.50x = 35.50
Next, divide 4.50 from both sides of the equation:
(4.50x)/4.50 = (35.50)/4.50
x = 35.50/4.50
x = ~7.89
However, note that you cannot round up, as you are buying. You also cannot buy .89 of a bracelet, so round down.
x = 7
Mrs. Gonzales can buy a maximum of 7 bracelets.
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Answer:
yoo thanks u the goat
Step-by-step explanation: