Step-by-step explanation:
<u>a. the area of a two-dimensional composite figure</u>
In this situation, we need to draw any necessary segments to view the figure as basic shapes, then:
- Step 1: add basic shape areas belonging to the composite shape
- Step 2: subtract basic shape areas NOT belonging to the composite shape
<u>b. the surface area of a three-dimensional composite figure</u>
As we know (3D) composite objects are made of two or more objects put together. To find the surface area of a 3D composite object, we need:
- Step 1: find the outside surface area of each object
- Step 2: add the surface areas together
Hope it will find you well
The order from least to greatest negative four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest is; option A
- −4.9,
- negative four and eight ninths
- four and seven tenths repeating
- 490%,
<h3>Ascending order</h3>
four and seven tenths repeating
= 4.77777777
negative four and eight ninths
= -4 8/9
= -4.888888888888888
490%
= 490/100
= 4.9
−4.9
Rearranging from least to greatest (ascending order)
- -4.9
- -4.888888888888888
- 4.77777777
- 4.9
Learn more about ascending order;
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Answer:
9.1 miles
Step-by-step explanation:
Part A:
A coefficient can be either '15' or '25'.
A variable can be either 'w' or 'm'.
A constant is 65.
Part B:
Simply substitute, or plug-in, the numbers and solve.
***Step 1:
65+15w+25m --> 65+15(20)+25(3)
You do this because you are substituting the 'w' for the number
of weeks that Jaxon saved up for, which is 20, and the 'm' for the number
of times that Jaxon mowed the lawn, which is 3.
***Step 2:
65+15(20)+25(3) --> 65+300+75
Begin to solve, using PEMDAS, or whichever acronym you learned.
Remember, if you are using PEMDAS, recall that the order is Parenthesis,
Exponents, Multiplication/Division (whichever comes first), and
Addition/Subtraction (whichever comes first). Here, I checked for parenthesis.
I did find parenthesis, however, they do not have any expressions inside of
them, meaning that these parenthesis are for multiplying, and not for stating
order. So, you skip parenthesis. Next, you check for exponents, which you
find none of, so you skip over that. Now, we get to multiplying/dividing, so
you multiply the 15 and the 20 to get 300, and the 25 and 3 to get 75.
***Step 3:
65+300+75 --> 440
Now, we get to addition. You simply add everything up to get your final
answer: $440.
Part C:
If Jaxon had $75, then yes, the coefficients would change.
By subtracting $65 from $75, we can see that the total amount of money
from Jaxon's deposits and his lawn-mowing money is $10. Jaxon already
deposits $15 a week, meaning that, while using the current equation, Jaxon
CANNOT have $75 in his bank account. We can change the equation
so that Jaxon is able to have $75 in his savings account. You can change
the coefficient of 15 to 10, and the other coefficient of 25 to 0.
Now Jaxon is able to have $75 in his savings account.
Answer:
Explanation:
The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.
Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.
The limits of the quadratic function of general form 
as x approaches negative infinity or infinity, when 
is positive, are infinity.
That is because as the absolute value of x gets bigger y becomes bigger too.
In mathematical symbols, that is:
Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².
Two examples are:
