Help! There's 3 questions here! Translate the following verbal statement to an inequality. Show/Explain how you know your translation is correct. The quotient of a number and three is at most fifteen less than twice the number
Solve the following inequality. Show your work/thinking and graph the solution. 3(-2x+4)>-12
Sonya started a business fixing people’s computers. She spent $10,500 on tools, parts, and software. She spends an additional $200 per week on other expenses. She earns $600 each week. What is the minimum number of weeks she needs to be operating her business to make a profit? Show all work/thinking and provide your solution in the blank below. Sonya must be open for a minimum of weeks to make a profit.

cosine

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply