Joy and joanna both purchase party invitations.They both spent the same amount of money. Joy spent $.75 per invitation and $3.25
1 answer:
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The range of the equation is
Explanation:
The given equation is
We need to determine the range of the equation.
<u>Range:</u>
The range of the function is the set of all dependent y - values for which the function is well defined.
Let us simplify the equation.
Thus, we have;
This can be written as
Now, we shall determine the range.
Let us interchange the variables x and y.
Thus, we have;
Solving for y, we get;
Applying the log rule, if f(x) = g(x) then , then, we get;
Simplifying, we get;
Dividing both sides by , we have;
Subtracting 7 from both sides of the equation, we have;
Dividing both sides by 2, we get;
Let us find the positive values for logs.
Thus, we have,;
The function domain is
By combining the intervals, the range becomes
Hence, the range of the equation is
Answer:
35/37
Step-by-step explanation:
In this question, we are to calculate the ratio that represents the cosine of angle O
Firstly, please check attachment for diagram of the triangle.
Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse
The hypotenuse is the longest length which is 37 which represents the length ON
The side adjacent to angle O is the side OP which is 35
Thus, the ratio representing the cosine of angle O is 35/37
Answer:
Step-by-step explanation:
A) 4x + 6 = 2x - 12
Subtract 6 from both sides
4x + 6 - 6 = 2x - 12 -6
4x = 2x - 18
Subtract 2x form both sides
4x - 2x = 2x - 18 - 2x
2x = -18
B) 24 = 6x - 18
6x - 18 = 24
6x - 6*3 = 24
6(x - 3) = 24
Divide both sides by 6
x - 3 = 4