![cbawesome8](/avatars/36037.jpg)
cbawesome8
28.12.2019 •
Mathematics
Casey was twice as old as his sister 3 years ago. now he is 5 years older than his sister. how old is casey?
Solved
Show answers
More tips
- S Society and Politics Выборы: Смысл, Значение и Отражение...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
Answers on questions: Mathematics
- M Mathematics Write the slope-intercept form of an equation that passes through the point (–2 ,3), and is parallel to y = -x + 5. 1.y = -x + 1 2. y = -x + 5 3. y = x + 1 4. y = x + 5...
- M Mathematics Evaluate log 1025 + log 1040...
- M Mathematics The question is on equivalent expressions and properties of addition...
- M Mathematics A figure skater prepares for her performance by skating 6 laps in a circular ice rink. If the distance between the skater and the center of the rink is 30 feet. how many...
- M Mathematics Please help me I’ll make you...
- M Mathematics Determine if you can use the HL ! Congruence Theorem to prove triangle ABC cong triangle DCB If not, tell what else you need to know...
- M Mathematics Alice is a mathematics major. Therefore, Alice is a mathematics major and a computer science major. A. Disjunctive syllogism. B. Simplification. C. Hypothetical syllogism....
- M Mathematics Solve −0.4(m+3)=4 . m=...
- M Mathematics Which representation would be most helpful for finding the mode of a set of data?...
- M Mathematics A number added to 5 is the same as twice the number. find the number...
Ответ:
3 years ago:
Casey was twice as old as his sister: 2a - 3
Now:
he is 5 years older than his sister: a + 5
2a - 3 = a + 5
subtract a to both sides
2a - 3 -a = a + 5 - a
simplify
a - 3 = 5
add 3 to both sides
a - 3 + 3 = 5 + 3
simplify
a = 8
His sister age is 8 years old now.
Now:
he is 5 years older than his sister: a + 5 = 8 + 5 = 13
proof:
so 3 years ago,
his sister age: 8 - 3 = 5
Casey age 3 years ago:
13 - 3 = 10 (Casey was twice as old as his sister 3 years ago)
Casey is 13 years old now.
Ответ:
Given functin is :
We know that the domain of the expression is all real numbers except where the expression is undefined. In given function, there is no real number that makes the expression undefined. Hence domain is all real numbers.
Domain: (-∞,∞)
Range is the set of y-values obtained by plugging values from domain so the range will also same.
Range: (-∞,∞)
If we increase value of x then y-value will also increase so that means it is an INCREASING function. You can also verify that from graph.
It crosses x and y-axes both at the origin
Hence x-intercept=0 and y-intercept=0
Graph is not symmetric about y-axis hence it can't be EVEN
Graph is not symmetric about origin so it is ODD.
There is no breaking point in the graph so that means it is a Continuous function.
There is no hoirzontal or vertical or slant line which seems to be appearing to touch the graph at infinity so there is NO asymptote.
END behaviour means how y-changes when x approaches infinity.
From graph we can see that when x-approaches -∞ then y also approaches ∞.
when x-approaches +∞ then y also approaches +∞.