Plz solve this inequality
1 answer:
Answer:
Step-by-step explanation:
Remember that to deal with the negative sign to the left of the parentheses, you must think of it as a -1 multiplying the parentheses, and you distribute the -1 by multiply each term inside the parentheses by -1. That changes all the signs inside the parentheses.
Combine like terms on the left side.
Add 5 to both sides.
We now divide both sides by -10. Remember that when you divide both sides fo an inequality by a negative number, the inequality sign changes direction.
Answer:
You might be interested in
Answer:
a. $1.66
Step-by-step explanation:
We have been given that Health and Heart Club charges $259 per year. A person has 3 visits per week. We are asked to find the cost of per visit to Health and Heart Club.
We know that there are 52 weeks in one year. So total visits in one year would be 3 times 52 that visits.
Now, we will divide total cost by 156 to find cost per visit.
Rounding to nearest hundredths, we will get:
Therefore, the cost per visit is $1.66 and option 'a' is the correct choice.
Answer:
Step-by-step explanation:
To put a quadratic into vertex form, you need to complete the square on it. Do this by following these steps. I'll tell you what we're doing and then show you what it looks like.
First step is to set the quadratic equal to 0 and then move the constant over. That's 2 steps in one, but not confusing at all. That looks like this:
Next, the rule is that the leading coefficient has to be a positive 1. Ours is a 2, so we will factor out a 2 but only from the left side. That looks like this:
Next step is to take half the linear term (the number with the x attached to it, not the x-squared), square it, and add it in to both sides. This is where things get a bit tricky, so pay attention. Our linear term is 8, half of 8 is 4, and 4 squared is 16. So we add 16 in. We'll do it to the left only first:
That's the left side. Notice that there is still a 2 out front there. That 2 is a multiplier. That means that what we actually added in was 2(16) = 32, not just 16. Now adding that to the right makes the whole thing:
Completing the square allows us to create a perfect square binomial on the left which is in the form (x - )². That blank space is filled in with the number we squared and then added in. We squared a 4 to get 16, so our perfect square binomial is (x - 4)². Putting that together:
Last step is to move the constant back over and set the quadratic back equal to y:
From here the vertex is apparent. It is (4, -2).