Answer:
The constant of variation for the given quadratic equation is, 30
Step-by-step explanation:
One of the form of a quadratic equation is written as:
....[1]
where k is the coefficient and for this case the constant of variation.
In order to obtain the answer for the given equation, we write the given equation to the form above.
or
or

Comparing this equation with equation [1], to get the value of k;
k=30.
therefore, the constant of variation is, 30.
Answer:
Step-by-step explanation:
In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.
It should be clear that


sin(2α) = 2 sinα cosα
So,

See what you can do with the others.
You have to find the area of both the square and rectangle. use the formula A=wl
square = 3x3 = 9
rectangle = 10x3 = 30
area= 39 (i think)
Hello,
I hope so far you and your family are staying safe and healthy!
We need to solve this step by step.
The college student has $700 in their account. But then she spends $165 on books from that money. So we need to Subtract that.
700 - 165 =535
However, later on, she deposits $190 to the same account. So we need to take the remain we had and add it to the new amount.
535 + 190 = 725
Thus,
There are $725 in the account.
I wish you all the best!
~Gary
Answer: x ≥ 1307
Explanation:
First, write the formula:
monthly fee: $14
minute rate: 7¢ or $0.07
total charge: $105.49
.07x + 14 ≥ 105.49 (the sign is this way because they said this price was the least she had been charged for a month.
You can solve for x just like you would in an equation by making the ≥ sign an equal sign
.07x + 14 = 105.49
- 14 -14
.07x = 91.49
÷ .07 ÷ .07
x = 1307 minutes
since you didn't divide by a negative number, the inequality sign stays the same:
x ≥ 1307