Intercepts of 9x^2+9y=81
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Ron painted part of a tiled section of his bathroom floor. the whole section was shaped like a rectangle. There were 35 square tiles in the section. How many tiles were in each row? There are 7 rows
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Answer:
- after the raise, her salary is $1755 per month
- this is a +17% change from her original salary
Step-by-step explanation:
The multiplier of her original salary to her reduced salary is ...
(1 - 10%) = 0.90
The multiplier of her reduced salary after her raise is ...
(1 +30%) = 1.30
The multiplier of her raised salary from her original salary is ...
(0.90)(1.30) = 1.17 = (1 +17%)
Her salary after the 17% raise is ...
1.17·1500/mo = $1755/mo
Answer:
17 %
Step-by-step explanation:
new salary=1500(0.9)(1.3) =1755 $
increase=1755-1500=255 $
% increase=(255/1500)×100=17
13.5, 12.2, 12.8, 12.8, 12.3, 12, 13.9, 14, 14.2, 12.6
Jack made the following box plot to represent the heights:
box plot shows minimum at 12, first quartile at 12.5, median at 12.8, third quartile at approximately 13.9 and maximum at 14.2
Which of the following did Jack show incorrectly on his box plot?
Median
Minimum
First quartile
Third quartile
Answers
Answer:
The First Quartile is incorrect.
Step-by-step explanation:
Step 1: Order the Numbers
They should looks like this: 12 12.2 12.3 12.6 12.8 12.8 13.5 13.9 14 14.2
Step 2: Find the Median
Since there is an even amount of numbers (10), the median is the sum of the two middle numbers divided by two: 12.8 + 12.8 = 25.6, 25.6 ÷ 2 = 12.8. So, 12.8 is our Median. Since our next steps will involve us figuring out more Medians, we will call this the "original Median." (I would suggest you replace the two numbers with one 12.8 and circle it so you know that this is the Median.)
Step 3: Find the Median for the Quartiles
Now you need to find the Median for the numbers leading up to the "original" Median and the numbers following the "original" Median. Since there is again, an even amount of numbers (4), you will add the two middle numbers of those four and divide the sum. Leading up to the Median: 12.2 + 12.3 = 24.5, 24.5 ÷ 2 = 12.25 (First Quartile). Following the Median: 13.9 + 14 = 27.9, 27.9 ÷ 2 = 13.95 (Second Quartile). (Again, I would suggest you replace each two numbers with the one median and circle it so that you will know that these will be the end of your first and third quartiles.)
Step 4: Find the Quartiles
Referring to Jack's Box Plot, the end of his line should start at 12 (that is the lowest number) and should end at 14.2 (that is the highest number). The "original Median" is 12.8, which will be the line inside of his box. Since we figured out what the median is leading up to the "original Median", his box should start at 12.25, and since we figured out the Median following the "original Median" we know that his box should end at 13.95.
Step 5: Make sure they match up
Let's organize this a bit better; numbers 12 - 12.25 (first quartile), 12.25 - 12.8 (second quartile), 12.8 - 13.95 (third quartile), 13.95 - 14.2 (fourth quartile). All of these match correctly except for our first quartile. It starts correctly at 12 but does not end at 12.25 and instead ends around 12.5.
Incorrect: First Quartile
After working out the problem and figuring out what Jack did wrong, we now know that Jack incorrectly worked the First Quartile.
Hope this helped and that it wasn't too confusing. Also, if it was too confusing, try reading it and working out the problem yourself as you read the steps. :)
Show all work
Answers
Answer:
-2a^2+3a-6
Step-by-step explanation:
a^2+a-1-(3a^2-2a+5)
=a^2+a-1-3a^2+2a-5
=-2a^2+3a-6
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Hope this helps :)
has been changed somewhat. Which of the following could be the equation
of g(x)?
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If we add any constant c in the function then it gets shifted upward by the c unit. Then the function g(x) is above the function f(x) by 2.5 units.
What is a function?
The function is an expression, rule, or law that defines the relationship between one variable to another variable.
Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The functions are g(x) and f(x) are given below.
f(x) = x⁴-x²
g(x) = x⁴-x²+2.5
We know that if we add any constant c in the function then it gets shifted upward by the c unit.
The graph is shown.
More about the function link is given below.
#SPJ7
Answer:
option C is correct
x^4 - x^2 - 2.5
B. line
C. line segment
D. ray
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A.point
A point is represented by a dot and named by a capital letter.