Answers
[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1}{x-1}[/tex]
[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1^2}{x-1}[/tex]
[tex]\\ \sf\longmapsto 2(1)^(2-1)[/tex]
[tex]\\ \sf\longmapsto 2(1)[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
Step-by-step explanation:
[tex] \tt \lim \limits_{x \to1} \frac{ {x}^{2} - 1 }{x - 1} = ...[/tex]
[tex] = \tt \lim \limits_{x \to1} \frac{(x + 1) \cancel{(x - 1)}}{ \cancel{(x - 1)}} [/tex]
[tex] = \tt \lim \limits_{x \to1}(x + 1)[/tex]
[tex] = \tt1 + 1[/tex]
[tex] = \boxed{ \bold{ \blue{ \underline2}}}[/tex]
Related Questions
You want to buy some noodles. A 7-ounce package costs $2.24. A 12-ounce package costs $4.08.
An 18-ounce package costs $5.58. Which package is the best buy?
Answers
And 5.58 divided by 18 is 0.31
So 5.58 is cheaper
Substitution method
-3x + 3y = 4
-x + y = 3
Answers
What is the gradient of the graph shown ? Give your answer in its simplest form
Answers
Answer:
-2
Step-by-step explanation:
choose any point on the graph
Answer:
Step-by-step explanation:
Yo you man its 3
Of the following points name all that lie on the same vertical line (3,-7)(-5,3)(3,-3)(3,-9)
Answers
Answer:
(-3,9)
Step-by-step explanation:
HOPE THIS HELPSSSSSS!!!!
someone help me with these 2 questions asap!!
Answers
Step-by-step explanation:
we would have needed only one corresponding side length. because for similar triangles all corresponding lines (like sides but also heights and so on) would be related in size by using the same scaling factor.
going from the large to the small triangle : what do I need to multiply the large side length with to get the small one ?
27 × x = 9
x = 9/27 = 1/3
that is the scale factor.
Order of operations and cross
reduce:
I got 20/3 but I think I’m wrong
Answers
Answer:
130/81
simplified: 1 49/81
Step-by-step explanation:
I did the math
The length of one of the sides of a triangle is equal to 1m, the measurement of adjacent angles are 30º and 45º. What are the lengths of the other sides of this triangle?
Answers
Thr length of one of the sides of a triangle is equal to 1m, the mesurement of adjacent....... 45, 30 is lengths of the both side triangle.
THANK YOU
Rewrite the expression with
parentheses to equal the
given value.
3x 8-5 + 3
value: 12
Answers
Parentheses go first here, so 8 - 5 is 3.
Multiplication goes next, so 3 x 3 is 9.
Addition goes last, so 9 + 3 is 12.
what are the solutions to the equation (x-2)(x-4)=8?
Answers
Answer:
=
6
=
0
Step-by-step explanation:
The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A quadratic equation (x - 2)(x - 4) = 8.
∴ x² - 4x - 2x + 8 = 8.
x² - 6x = 0.
x(x - 6) = 0.
So, x = 0 Or x - 6 = 0 ⇒ x = 6.
learn more about quadratic equations here :
https://brainly.com/question/17177510
#SPJ2
Help help math math help help
Answers
Answer:no they are not
Step-by-step explanation:
As all angles are 60∘ each and given all sides are equal then it can be said as congruent.
Answer:
no
Step-by-step explanation:
Children each received 1/8 of a chocolate bar. How many squares did each child receive if the chocolate had 16 squares? How many children were there?
Answers
Step-by-step explanation:
If the chocolated had 16 squares.
there we're only two children was there.
Gul can run 800 meters in 139 seconds.About how long would it take her to run 6 times far if she runs at the same speed? Choose the best estimate.
Answers
Answer:
834 seconds or 13 minutes and 54 seconds
Step-by-step explanation:
139 x 6 = 834
Samantha has 7/3 cups of ice cream to make milk shake.Each shake uses 1/8 cup of ice cream. How many milk shakes can she make?
Answers
Hope this helps
Determine the slope and y-intercept of a line that passes through the points (2, 4) and (–4, 1).
m = [ A. –2.5 , B. –1.5 , C. 0.5 ]
b = [ A. 3, B. 7, C. 9 ]
Answers
Answer:
hhhhhhhhhhhhiiiiiiiii
A local hamburger shop sold a combined total of 387 hamburgers and cheeseburgers on Thursday. There were 63 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answers
Answer:
350 hamburgers
Step-by-step explanation:
Let x = the number of hamburgers sold
Let x - 53 = the number of cheeseburgers sold
x + x - 53 = 647
2x = 700
x = 350 hamburgers
Value of x 2(x-4)=10
Answers
Answer:
x=9
Step-by-step explanation:
I need help really bad! I have literally no clue what the answer is to this question
Answers
Answer: C is the answer
Answer:
The second answer: {(-1, 4),(2, 7),(3,7)} because every x value has one y value
Ignore the numbers
Help me how do I do this question
Answers
Answer:
He will not have enough money
Step-by-step explanation:
you were able to identify the total area
which is 72+42 = 114 m^2
each tin covers 12 m^2,
114/12 = 9.5, so will need 10 tins (can't buy half a tin)
each tin cost 19£, so 10 will cost
10*19=190£
Caretaker will not have enough money
he is 60£ short
Executives for a company that prints logos on products are expanding the company's services to include souvenirs such as hats, shirts, and foam fingers for sports teams. The data they collected from a sample of 300 adults about their favorite sport to watch and their favorite souvenir to buy are shown in the table.
Answers
Answer:
0.01
Step-by-step explanation:
the number of participants that prefer a t-shirt and prefer soccer is 3, since this is out of 300 we have 3/300 or 0.01
Please help me ASAP this has limited time olease
Answers
Answer:
x= 67
Step-by-step explanation:
Angle CGE makes a 23 degree angle, and makes a 90 degree angle with CGB.
By subtracting 90 and 23, you get 67 degrees for the angle EGB.
Since angle EGB and angle AGF are vertical angles, they are the same. So, x would equal 67.
Answer:
x = 67°
Step-by-step explanation:
Solving for x
We know that AGC is a right angle, thus AGD has to be a right triangle as well. Angle CGE is 23°, which would mean that FGD is also 23°.
90°-23°=67°
Roberto bikes for 5.2 hours and covers a distance of 49.4 miles. Eileen bikes for 2.5 hours and covers a distance of 20.5 miles.
Assuming both Roberto and Eileen bike at a constant speed, who was biking faster and by how much? Select from the drop down menus to correctly answer the question. Choose... bikes faster than Choose... by Choose... mi/h.
Answers
Answer:
Roberto bikes faster than Eileen by 1.3 mi/h
Step-by-step explanation:
Roberto bikes at 49.4/5.2=9.5 mi/h
Eileen bikes at 20.5/2.5=8.2 mi/h
9.5-8.2=1.3
So Roberto bikes faster than Eileen by 1.3 mi/h
solve for x, x-c=r+d/y
Answers
Answer:
D
Step-by-step explanation:
x - c = (r + d)/y for x
x = (r +d)/y + c common denominator : (c/1) (y/1) = yc
x = (r + d)/y + yc
x = (yc + r + d)/ y
solve the following pair of equations graphically and verify them: 3x+y=7 x≃2y please help me
Answers
Answer:
(2, 1)
Step-by-step explanation:
graph 3x+y=7 and x=2y
make both slope intercept form for easier graphing
y=-3x+7
2y=x, y=1/2x
(2, 1)
check
3*2+1=7
6+1=7
7=7
1=1/2*2
1=1
The points (-1, 4) and (2, 9) lie on a line.
What is the slope of the line?
Answers
Answer:
[tex]\displaystyle m = \frac{5}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-1, 4)
Point (2, 9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{9 - 4}{2 + 1}[/tex][Order of Operations] Simplify: [tex]\displaystyle m = \frac{5}{3}[/tex]Which equation is an identity?
A)
3x + 4 = 5x - 1
B)
2x + 3 = 2x + 4 - 1
C)
5x = 10
D)
- 3x + 1 = -3x - 5
Answers
Answer:
B) 2x + 3 = 2x + 4 - 1
Step-by-step explanation:
A) 3x + 4 = 5x - 1
2x = 5
x = 2/5
B) 2x + 3 = 2x + 3
True
C) 5x = 10
x = 2
D) -3x + 1 = -3x - 5
False
If 5 measures 110 what is the measure of 2?
A) 55
B) 70
C) 110
D)160
Answers
I need answers 1 through 5 please
Answers
Answer:
1) first & last option
2) x=10
3) x=15
4) acute, acute, obtuse. right
5)
Step-by-step explanation:
(8)^2+(6)^2=(x)^2
64+36=x^2
square root of 100= square root of x^2
x= 10
what is the reason for line 3??
Answers
Answer:
SAS similarity
Step-by-step explanation:
LO and LP are proportional to LN and LM, as shown by:
[tex]\frac{LO}{LN} =\frac{LP}{LM}[/tex]
Because these are equal, both pairs of corresponding lines have the same scale factor and are proportional as a result. The angle between them is congruent due to the reflexive property as given, and with 2 pairs of proportional sides including the angle, ΔLMN is similar to ΔLPO by the SAS similarity postulate
Use set builder notation to write the set E= {1, 3, 9, 27}
PLEASE NO SPAMMING I NEED AN ANSWER NOW
Answers
Answer:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Step-by-step explanation:
Given set:
E = {1, 3, 9, 27}We observe that:
1 = 3⁰, 3 = 3¹, 9 = 3², 27 = 3³Each term can be shown as 3ⁿ, where n is natural number between 0 and 3.
Set builder notation:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Here let's observe
1=3^03=3^19=3^227=3^3So set builder form:-
[tex]\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}[/tex]
Faktor dari bilangan 18 adalah....
Answers
Step-by-step explanation:
1 x 18, 2 x 9, dan 3 x 6. Jadi, faktor dari 18 adalah 1, 2, 3, 6, 9, dan 18.