Answer:
the answer is 17
Step-by-step explanation:
juans free throw % is 65 so botina has to make 17 out of 25 to get a better percent which is 68
When a line and a curve are tangent to each other, they are joined together by 1 point (x,y). So, you equate both equations either in terms of x or y. For this problem, let's equate in terms of y.
y = k - x
y = x² + 3x + 1
k - x = x² + 3x + 1
k = x² + 3x + x + 1
k = x² + 4x + 1
This would be the value of k. Since we are not given the common point, it can only be expressed in terms of x or y.
The simplification of the expression is 28. The mistake in your calculation occurred in step 3.
<h3>What is the process involved in simplifying expression involving brackets?</h3>
TO simplify expressions involving brackets, we use a common method called BODMAS (Brackets, Of, Division, Multiplication, Addition, and Subtraction).
This means that we will first solve the expression in brackets first, followed by division, multiplication, addition, and subtraction as the case may be.
Now, from the given information, we have:
= 22+6[(14-5)÷3(17-14)]
solving parameters in the bracket first, we have:
= 22 + 6[(9) ÷3(3)]
= 22 + 6[(9) ÷9]
- The above step is where you missed it from your calculation, you must first open all brackets within brackets before solving them.
= 22 + 6[(9) ÷9]
= 22 + 6[ 1]
= 22 + 6
= 28
Learn more about simplifying expressions here:
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The value of the median of the distribution is closest to 5.
<h3>What is the median?</h3>
A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.
The median is the number at the center of a dataset when the dataset is arranged in either ascending or descending order.
The numbers arranged in ascending order is : 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9
Median = 5
Please find attached an image of the histogram. To learn more about histograms, please check: brainly.com/question/14473126
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Number 6 is incorrect. Remember when you see -(-1) that is addition because you are subtracting a negative from a negative so you take the negative sign away and you have a positive. The correct answer to 6 is -75. For number 9 the first thing that you are gonna do is distribute that negative sign to the -12 in parentheses. This will make it a positive 12 which leaves you with
-8+12-31=-27
Next for number 12 you will distribute the - sign onto the -9 in parentheses and the -16 in parentheses. This will leave you with -16+9+16=9
Hope that this helped!
