Answer:
b) f(3) is defined, but is not equal to the limit
Step-by-step explanation:
The portion of the function defined by the rational expression is equivalent to x/(x+3), which has a value of 1/2 at x=3. This is the limit of f(x) from the left or right as x approaches 3. However, the function is not defined at that point as 1/2. Rather, it is defined to be f(3)=1.
So, the limits at f(3) exist and are 1/2, but the function is defined as a different value there.
The only applicable statement is the second one.
In 3 years, Dianna will be 4 times as old as she was 33 years ago. How old is Dianna now?
Answer:
45 yrs old
Step-by-step explanation:
x + 3 = 4(x - 33)
:x + 3 = 4(x) - 132
Add 132 and minus x on both sides of equation
then: 135 = 3(x)
Answer:
Present age of Dianna is 45 years old
Step-by-step explanation:
Let "x" be the present age of Dianna
Given that, In 3 years, Dianna will be 4 times as old as she was 33 years ago
Then: In three years time Diana’s age would be x + 3
And: thirty three years ago it would have been x - 33
From given question,
x + 3 = 4 times as old as she was 33 years ago
x + 3 = 4(x - 33)
x + 3 = 4x - 132
x - 4x = -132 - 3
-3x = -135
x = 45
Thus present age of Dianna is 45 years old
Write your own word problem that can be translated into the equation x + 4 = 10. What does the variable x represent in your problem?
The required problem can be stated as the sum of a number and 4 is 10.
What is the equation?the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
To write a word a problem can be translated into the equation x + 4 = 10. So, the problem can be given as " the required problem can be stated as the sum of a number, and 4 is 10."
Thus, the required problem can be stated as the sum of a number, and 4 is 10.
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Classify each scale factor as a contraction or an expansion. Drag and drop the choices into the boxes to complete the table. Contraction Expansion 1.25 -2 3/4 1/5 3
Scale factor 1.25 is an expansion since we 'enlarge' the original size 1.25 times
Scale factor 3 is an expansion since we 'enlarge' the original size by 3 times
Scale factor -2 is also an expansion since we 'enlarge' the original size by 2 times but on the opposite direction of the centre of enlargement
Scale factor 3/4 is a contraction since we make the original size 'smaller' by 0.75 times
Scale factor 1/5 is also a contraction since we make the original size 'smaller' by 0.20 times
Literally, contraction means to reduce; while expansion means to increase.
The scale factors that represent contraction are 3/4 and 1/5The scale factors that represent expansion are 1.25, -2 and 3The following absolute value inequalities are used to determine if a scale factor (k) is an expansion or a contraction.
[tex]|k | > 1[/tex] represents expansion[tex]0 < |k | < 1[/tex] represents contractionSo, we have:
The absolute value of 1.25, -2 and 3 are greater than 1. i.e.
[tex]|1.25| > 1[/tex]
Remove absolute brackets
[tex]1.25 > 1[/tex]
[tex]|-2| > 1[/tex]
Remove absolute brackets
[tex]2 > 1[/tex]
[tex]|3| > 1[/tex]
Remove absolute brackets
[tex]3 > 1[/tex]
Hence, 1.25, -2 and 3 are all expansion scale ratios
The absolute value of 3/4 and 1/5 are between 0 and 1. i.e.
[tex]0 > |3/4| > 1[/tex]
[tex]0 > |0.75 | > 1[/tex]
Remove absolute brackets
[tex]0 > 0.75 > 1[/tex]
[tex]0 > |1/5| > 1[/tex]
[tex]0 > |0.2| > 1[/tex]
Remove absolute brackets
[tex]0 > 0.2 > 1[/tex]
Hence, 3/4 and 1/5 are all contraction scale ratios
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A certain reality TV show lost 9,000 viewers over the past 3 months.If they lost the same number of viewers each month how many viewers did they lose each month
Answer:
3,000 viewers each month.
Step-by-step explanation:
1. they lost the same amount each month, which means you can divide the viewers lost by the number of months (3)
2. that would be 9,000/3
3. 3,000
4. You know you've got the right answer because this would multiply back to 9,000 with the same amount of viewers lost every month.
Which statement correctly compares the numbers
A -0.8 > - 7/10
B 0.75 < -0.5
C 5.25 > -1.9
D 10 < 9 4/5.
Answer:
C
give brainliest pls
Step-by-step explanation:
5.25 is a positive number, 1.9 isn't, positive will always be higher than negative. example: -100 < 0.1 would work but -100 > 0.1 would not
Anyone know this one ?????
[tex]\sqrt{3}[/tex] is an irrational or not rational number.
Answer choice C is correct
Answer:
easy problem the answer is square root 3 (that weird line behind the 3)
Step-by-step explanation:
yes
Can anyone help me on this ;-;
B, C, A are collinear because they lie on the same line.
D, C, A are not collinear because they do not lie on the same line
Use the intersect method to solve the equation.
7²-7-8²+1
Plz help me, I will give brainlest!thx!
Answer:
the slope is m=4/3
On Dolores's tenth birthday her grandfather deposited $35 in a savings account for her. Each year, her grandfather deposited twice the amount of the previous year's deposit. How much money did her grandfather deposit on Dolores's eighteenth birthday?
Her grandfather deposits $28,680 on Dolores's eighteenth birthday.
What is a deposit?
A deposit is an amount of money that is placed into an account, typically a savings or checking account, with a financial institution such as a bank or credit union. The money deposited is held by the institution and can be withdrawn at a later time. Deposits can also refer to the act of putting money into an account.
In your example, on Dolores's tenth birthday her grandfather deposited $35 in a savings account for her. Each year, her grandfather deposited twice the amount of the previous year's deposit. On Dolores's eleventh birthday, the deposit was 352 = $70. The deposit for twelfth birthday was 702 = $140. Similarly, on Dolores's 18th birthday, the deposit was 35*2^8 = $28,680.
Hence, her grandfather deposits $28,680 on Dolores's eighteenth birthday.
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un terreno mide 135 metros de largo y tiene un area de 3375 metros cuadrados si representamos el ancho con la letra c ¿ cual es la expresion algebraica ?
what it the explicit formula for 8
Answer:
-8
Step-by-step explanation:
THANKS
What is the answer
3(5-x)>-15
Steps to solve:
3(5 - x) > -15
~Distribute
15 - 3x > -15
~Subtract 15 to both sides
-3x > -30
~Divide -3 to both sides
x < 10
Best of Luck!
0.3(5x - 1.5) = 7.5 x= ?
Answer:
x=5.3
Step-by-step explanation:
.3(5x-1.5)=7.5
1.5x-.45=7.5
1.5x=7.95
x=5.3
What is the domain of the relation?
Answer:
the domain of the relation is C
The domain of the given graph is -4≤x≤6. Therefore, the correct answer is option C.
From the given graph, extremes of line graph are (6, 4) and (-4, -4).
The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
Here, the domain of the graph is -4≤x≤6
The range of the graph is -4≤x≤4
Therefore, the correct answer is option C.
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Tom ate four more pieces of fruit than Janet. Sylvia ate twice as many pieces of fruit as Tom. If x represents the number of pieces of fruit that Janet ate, write an
expression to represent the amount of fruit that Sylvia ate.
Answer:
[tex](x \times 4) \times 2[/tex]
or
[tex]2(4x)[/tex]
x/5-30=10 what is the answer and solution?
Answer:
x=200
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
200/5-30=10
Simplify each of the following:
A. 49 −−−−√ =
B. 100 −−−−√ =
C. −25−−√ =
if x^2 = 25 then x=5 why is this statement wrong ?
Answer:
no because that symbol don't stand for multiply
I have to find the probability is stuff please help
Answer:
1.) 1/2 or 50%
Step-by-step explanation:
Lemme take sum time to do 2, 3, and 4!
Rachel’s has a summer job working at the library. The graph below shows the relationship between the number of hours Rachael worked and the amount of money, in dollars, that Rachel earned?
Answer: m = 10 h
Step-by-step explanation: i did the test too
The Equation for Rachel Earning is m = 10h.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the graph we take two points (4, 35) and (5, 45).
So, the slope is
= (45 - 35) / (5-4)
= 10 /1
= 10
let Rachel work for h hours then Rachel earned
m = 10h
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Which of the following characters best connects with a setting of a sunny day, surrounded by palm trees and sand? (5 points) a A teen working in New York City as an actor b A teen practicing for the Massachusetts hockey finals c A teen who fishes with his father for a living d A teen working on homework
Answer:
the answer you looking for is c
Step-by-step explanation:
because in new York there are not any palm trees in Massachusetts either
Please help me with this question
Answer:
Step-by-step explanation:
22. the 2nd and 4th are true
I need help with this question
Answer:
1110.0 units
Step-by-step explanation:
The balance reading is the sum of the readings on each of the scales:
100 +1000 +10 = 1110 . . . units
Expressed to the nearest tenth, this is ...
1110.0 units
(No units are shown on the balance scale, so we don't know if this is micrograms or tons or something in between.)
A box of 15 cookies costs nine dollars. What is the cost for 1 cookie?
9/15 = 0.6 dollar each
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Simply divide to get the value
Consider this expression.
(x + 5) (5 – 7)
Complete the box to show the distributive property applied to this expression.
Answer:
hope this helped you
please mark as the brainliest (ㆁωㆁ)
2.1x + 4.3 = -7.7 - 3.9x
Answer:
x=−2
Step-by-step explanation:
Let's solve your equation step-by-step.
2.1x+4.3=−7.7−3.9x
Answer:
x= -2
Step-by-step explanation:
Solve 8x - 5y = 18 for y.
y=(Use integers or fractions for any numbers in the expression.)
Answer:
y=8/5x + 18/5
Step-by-step explanation:
subtract 8x on both sides which ends up looking like:
-5y = 18 -8x
divide -5 on both sides which ends up like:
y= 8/5x - 18/5
then u simplify, but there's not need for that because it's already simplified.
What is the value of
-4d^2+ 15d^2 / 5 for d = 1?
If it’s any help it’s about order of operations I’m just really stuck
the sum of a number and 10
Answer:
10 + x
Step-by-step explanation:
Sum means add
Hope this helps you :)
pls give me brainlest ;)