Hello!
If Katia can buy packages of jars for $9, we can determine how many packages she can purchase with $45 by using the formula:
45/9 = 5
We divide the total number of money that she has by the amount of money one package of jars costs. Now, the question also asks how many jars she can buy, not just how many packages.
We know that she can buy 5 packages, and that there are 12 jars in each package. To find the total number of jars she can buy, we will multiply 5 by 12.
5 x 12 = 60
Katia can buy 60 jars with $45.
I hope this helps you! Have a lovely day!
- Mal
It can be too late to save for retirement. You want to begin saving at least 45 years before you plan to retire.
<h3>When to start savings for retirement?</h3>
Retirement is when labour stops working at a regular job. When a person retires, they would have a reduced source of income. This is why it is important to save for retirement. The earlier one starts to save for retirement, the more money the person would have when they retire.
To learn more about retirement, please check: brainly.com/question/20751552
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25 pints are in 7.5 quarts
We have been given a system of nonlinear equations.
In order to solve this system we can first equate the two equations in order to get a quadratic in x.
Our next step is to bring all the terms on one side.
Now we have to solve this equation. We can solve it by factoring using the splitting middle term method.
Upon setting each of these factors equal to zero using zero product property we get
Upon solving both these equations we get
Now we can substitute these values of x in the equation
We get
Therefore, our final set of solutions are
Answer:
Step-by-step explanation:
f(x) = 2x² + 14x - 4
= 2(x² + 7x) - 4
= 2(x² +7x + 3.5²) - 2(3.5²) - 4
= 2(x+3.5)² - 28.5
vertex (3.5, -28.5) = (7/2, -57/2)
The vertical intercept is the y-intercept, i.e., f(0) = -4.
The x-intercepts are the values of x for which y=0.
2x² + 14x - 4 = 0
x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27
