Can someone solve this question ~
[tex]\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}[/tex]
[tex]\boxed{\boxed{Step \: by \: step \: explanation \: required~}}\ [/tex]
Answers
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{x^2-9}{x^2+2x-3}[/tex]
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{(x+3)(x-3)}{x^2+3x-x-3}[/tex]
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{\cancel{(x+3)}(x-3)}{\cancel{(x+3)}(x-1)}[/tex]
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{x-3}{x-1}[/tex]
Apply limits[tex]\\ \sf{:}\Rrightarrow \dfrac{-3-3}{-3-1}[/tex]
[tex]\\ \sf{:}\Rrightarrow \dfrac{-6}{-4}[/tex]
[tex]\\ \sf{:}\Rrightarrow \dfrac{3}{2}[/tex]
Hope you could understand.
If you have any query, feel free to ask.
![Can Someone Solve This Question ~[tex]\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 X-3}[/tex][tex]\boxed{\boxed{Step](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/PTOGtwBoNV47qZK8125b9IHY0mhT77we.jpeg)
Related Questions
The quotient of 2 numbers, p and q
A: pq
B: p+q
C: p/q
D: p - q
Answers
Answer:
b
Step-by-step explanation:
pls pls pls mark me as brainliest
Answer:
C: p/q
Step-by-step explanation:
Quotient is the result of dividing two numbers so C would be the best answer
Hope this helps! :D
plssss help me if your good at finding area in shapes plsss
Answers
The given shape is a trapezoid with "bases" 15 and 45, and height 10. So its area is
(15 + 45)/2 • 10 = 300
HURRY HELP PLEASE! SERIOUS ANSWERS ONLY!
Living Space?
You have the opportunity to live in a 3 bedroom 3.5 bath on Miami Beach in a Luxury Condo or in Laurel Mississippi in a 5-bedroom 7 bath home. Money for either is not an issue. The only stipulation is that you and your present family situation will remain intact. Given your present situation, which would you choose and why? (Students will receive full credit for their completion of the project; steps 2 and 3)
1. Look up property and amenities
a. Condo on: unaresidencemiami.com/price-list
b. Home on: 2230 Ridgewood Dr, Laurel, MS 39440 (type in address)
2. Look up the community in which EACH is located
3. Solve for the intersection of the two properties (two variable systems of equations using the
cost and the Square Footage as the variables)
a. Condo: $2.2 million / 1946 sq feet
b. House : $.3 million / 4681 sq feet
4. Which would you choose and why?
Answers
Answer:
The Mississippi home
Step-by-step explanation:
I would get the Mississippi home because it has 5 bedrooms with 7 bathrooms, it would be a great home for a family and guest to go to. and it also depends on the condition of the home and the amount of people in you family.
1/4, 3/4, 5/4, 7/4, ... 15th term
Answers
Answer:
29/4
Step-by-step explanation:
2/4 is added per step
14 steps from 1/4
1/4 + 14.(2/4) = 29/4
Answer:
29 / 4 is the 15th term
simplified : 7 1/4
Step-by-step explanation:
3/4 - 1/4 = 2/4
5/4 - 3/4 = 2/4
7/4 - 5/4 = 2/4
. Use Arithmetic equation
a1 = 1/4
d= common difference = 2/4
a15 = a1 + (n-1) d
a15 = 1/4 + (15 - 1) 2/4
a15 = 1/4 + 14 (2/4)
a15 = 1/4 + 7
a15 = 29/4 or 7 1/4
The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The other has a purchase price of $369 and an estimated yearly operating cost of $9. Which TV should the Gordons buy if they plan to keep it for 8 years
Answers
The second tv option (cheaper by $1)
Step by step explanation:
To find how much the first tv will cost all together complete the equation:
$330 + $14 * 8 = $442
Second tv cost:
$369 + $9 * 8 = $441
Hope this helps
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Write an equation for a line passing through the points (-1, 8) and (0, 5).
Answers
Answer:
y=-3x+5
Step-by-step explanation:
y=mx+c
point 1: (-1;8)
point 2: (0;5)
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{5 - 8}{0 - ( - 1)} [/tex]
[tex]m = - \frac{ 3}{1} [/tex]
[tex]m = - 3[/tex]
subs point and gradient to get c
5=-3(0)+c
Therefore c=5
The equation is y=-3x+5
PLS HELP ITS A MAJOR GRADE AND ITS MY LAST QUESTION I JUST CANT SOLVE IT
THE BEST ANSWER WILL GET BRAINLIEST
The perimeter of the classroom shown is 6x + 3. Find the length of the missing side
x
(6x + 3) + (3x +1) + x + x
6x + 3x + x + x +3 + 1
11x + 4
3x+1
The length of the missing side is 11x + 4.
Pls show
Correct Work/ Solution
Identify and explain the error
Share a Strategy
Answers
Answer:
Missing side = x+2
Step-by-step explanation:
The perimeter of the classroom, 6x+3, is equal to the 4 side lengths added up.
In their first line of work, the first plus sign should be an equal sign as follows:
6x+3 = 3x+1+x+x+?
simplify
6x+3 = 5x+1+?
subtract (5x+1) from both sides
x+2 = ?
There's the length of the missing side.
A bag of mixed nuts contains cashews, pistachios, and almonds. There are 4000 total nuts in the
bag, and there are 400 fewer almonds than pistachios. Cashews weigh 2 g, pistachios weigh 3 g, and almonds weigh 5 g. If the bag weighs 9.7 kg, find out how many of each type of nut is in the bag.
Cashews:
Pistachios:
Almonds:
Answers
Answer :
Cashews : 2950
Pistachios : 725
Almonds : 325
( credits to FB person : Moni )
What is the value of 1/6 with an exponent of 0
Answers
The dance team held 2 fundraisers to earn money for uniforms. During the second fundraiser, the team raised $450. The team raised a total of $620 for uniforms during both fundraisers. How much money did the dance team raise at the first fundraiser?
Answers
Answer:
The dance team raised 170$ during the first fundraiser
Step-by-step explanation:
to find how much the first fundraiser earned let's make an equation and make the first fundraiser the variable x
The equation would be:
x+450=620
so we would take away 450 from both sides
x+450-450=620-450
which would make the equation
x=170
meaning that the first fundraiser raised 170$
solve each inequality and graph its solution
Answers
Answer:
Step-by-step explanation:
1) 11v > -66
divide by 11
V > -6
all of them are done like this
Compound interest compounded quarterly is given every ______ months. *
1 point
1
3
6
Answers
Answer:
3 months
a quarter is a period of three months
Step-by-step explanation:
John and Jennifer want to split a bag of candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which John values at $1, $4, and $5 respectively.
If John is the divider, find a possible division that is consistent with his value system.
Answers
If John is the divider then $5 is the consistent value with his share system.
What is a divider chooser?The essential concept is that an object is divided into pieces by a divider. The remaining participants, referred to as choosers, make bids on the pieces they believe represent fair portions. Each chooser receives the portion that, in their opinion, represents a fair share, with the remaining portion going to the divider.
Given that the bag contains 100 Snickers, 100 Milky ways and 100 Reese's which john values at $1 , $4 and $5 respectively.
That means 1 Snicker, 1 Milky way and 1 Reese's for $0.01 , $0.04 and $0.05 respectively.
Suppose, John splits a bag of candy
a) first half : 50 Snickers, 50 Milky ways and 50 Reese's
b) second half : 50 Snickers, 50 Milky ways and 50 Reese's
The value of both of the half in John's terms ;
50 (0.01) + 50 (0.04) + 50 (0.05) = 0.5 + 2 + 2.5 = 5
Therefore, if John is the divider then $5 is the consistent value with his share system.
To learn more about the divider chooser;
https://brainly.com/question/16963612
#SPJ1
HELLP ME PLS QUICK
Oscar and Kim have $22.00 each to spend at a book fair, where all students receive a 30% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Oscar takes 30% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Kim takes 70% of the normal purchase price and then computes 110% of the reduced price. Is Oscar correct? Is Kim correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.
HELLLP ME PLS QUICK
Answers
Answer:
Both Oscar and Kim will have enough to purchase the book.
Step-by-step explanation:
Oscar takes 30% of the normal price and subtracts it from the normal price. Out of 100% price he takes 30% so the result is: 100-30%= 70% of the normal price. Oscar's first step has the same result as Kim.
Oscar takes 10% of the discounted price (70%) and adds it back. The price will become 70% + 10%*70%= 77% of original price. Kim multiplies the discounted price with 110%, so the price will be: 70% * 110%= 77%. Both also give the same result.
The final price is 77% of the original, it will be: $28.50* 77%= $21.945
Oscar :
28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95
0.10(19.95) + 19.95 = 2 + 19.95 = 21.95
Kim :
0.7(28.50) = 19.95
1.10(19.95) = 21.95
Answer:
Both Oscar and Kim got the same amount and they both had enough money to buy the book.
Given that,
Oscar and Kim have money to spend at a book fair = $22
Discount for all the students = 30% = 0.30
They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax.
Book normally sells for = $ 28.50 + 10% sales tax
According to the question,
Oscar takes 30% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount.
28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95
0.10(19.95) + 19.95 = 2 + 19.95 = $21.95
Kim takes 70% = 0.7 of the normal purchase price and then computes 110% = 1.10 of the reduced price.
0.7(28.50) = 19.95
1.10(19.95) = $21.95
Hence, Both Oscar and Kim got the same amount and they both had enough money to buy the book.
Step-by-step explanation:
Simplify. x+y -x²-y²/x-y
Answers
James joins Club One which charges a monthly membership of $19.99. In 6 months, will he spend less than $120 in all?
Answers
Answer:
120
Step-by-step explanation:
round 19.99 to 20 and do 20 times 6
What percent of 80 is 16
Answers
Answer:
20 percent
Step-by-step explanation:
Step 1: 16/80
Step 2: 16/80 x 100/100 = 20/20
Step 3: 20
Henlo, wutt comes next?
a=6a+6-1
a=6a+5
=?
Answers
Step-by-step explanation:
[tex] - 6a + a = 5 \\ a + a = \frac{ - 5}{6} \\ 2a = \frac{ - 5}{6} \\ a = \frac{ - 5}{6} \div 2 \\ a = - \frac{5}{12} [/tex]
I WILL GIVE BRAINLIEST IF YOU ARE CORRECT!!
A. The typical value and the spread are both greater in set B. B. The typical value and the spread are both greater in set A. C. The typical value is greater in set B. The spread is greater in set A. D. The typical value is greater in set A The spread is greater in set B.
Answers
Answer:
D. The typical value is greater in set A. The spread is greater in set B.
Step-by-step explanation:
The typical value is greater in set A.
[] We can see that the red arrow already shows this, but the average (add up all the numbers and divide by number or numbers) in set A is greater than in set B as 7 > 6.
The spread is greater in set B.
[] The spread can also be thought of as the range (largest number - smallest number) so the spread is greater than B since 7 > 3.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
3) Solve the problem using your graphing calculator. Round all para meter values to the nearest hundredth.
Beatrice used a slingshot to launch an egg into the air. She recorded the egg's path using a motion detector. The following data represents the height (in feet) of the egg at certain time points (in seconds). Distance is the dependent variable and time is the independent variable: {(0.0, 16), (1.7, 20.46), (2.5, 23.16),(3.7, 23.51),(5.1, 20.07), (6.6, 12.4),(7.3,5.62), (8.0, 0.15)}
At approximately which time is the egg on the ground?
A). O seconds
B). 16 seconds
C). 8 seconds
D). -2 seconds
E). The egg is never on the ground.
Answers
Answer:
mmm, well, not much we can do per se, you'd need to use a calculator.
I'd like to point out you'd need a calculator that has regression features, namely something like a TI83 or TI83+ or higher.
That said, you can find online calculators with "quadratic regression" features, which is what this, all you do is enter the value pairs in it, to get the equation.
Step-by-step explanation:
How many minutes does it take for the goose to fly 1 mile if it takes 6 minutes to fly 18 miles
Answers
Answer:
1/3 minutes
Step-by-step explanation:
We can write a ratio to solve
6 minutes x minutes
---------------- = ------------------
18 miles 1 mile
Using cross products
6 * 1 = 18 x
6 = 18x
Divide each side by 18
6/18 = 18x/18
1/3 = x
1/3 minutes
velocity question ht=2+31t-16tsquared
Answers
Answer:
Step-by-step explanation:
If I am not mistaken the equation is [tex]S(t) = 2 + 31t - 16t^{2}[/tex]
Then in that case V(t) = S'(t) = 31 - 32t
V(t)=0 gives the time when the stone hits the ground.
31 - 32t = 0
32t = 31
t = 31/32 = 0.96875s
Solve the linear system using elimination.
46) -2x+4y=-2
6x - y=28
Answers
Answer:
x = 5, y = 2
Step-by-step explanation:
just trust me, I used a calculator
Work out the missing percentages in these problems. See if you can spot the impossible problem which cannot be answered!
Answers
Answer: please read the explanation :)
Step-by-step explanation:
Make the precent a whole number then subtract it form 100 then the answer turn it to a percent :)
1) 100 - 65 = 35 = 35% of boys in the class
2) 100 - 27 = 63 = 63% of skirts that are not red
3) 100 - 78 = 22 = 22% non swimmers
4) 100 - 43 = 57 = 57% what he got wrong
5) 100 - 45+42 = 13 = 13% the games they tied
6) 100 - 28+35 = 37 = 37% who chose football
7) 100 - 38 = 62 = 62% are dogs
8) 100 -35 = 65 = 65% scored over average
9) 100 -12 = 88 = 88% percent
10) 100 - 6 = 94 = 94% can ride the bike
Hope that helps if you need more explanation please send me :)
Find the value of x .
K
M
(2x – 10)
(2x + 400°
N
Answers
Answer:
the angles all sum up to 360. is a circle therefore x = 60
Step-by-step explanation:
90 + 2x - 10 + 2x + 40 = 360
120 + 4x = 360
4x = 360 - 120
4x = 240
x = 60
opposite = 1.5.
adjacent = 4.
find the acute angle
Answers
Answer:
Step-by-step explanation:
tanθ = opp/adj
θ = arctan(1.5 / 4)
θ = 20.55604521958346...
θ = 20.6°
Answer
20.56
Step-by-step explanation:
tan∅=opposite/adjacent
=1.5÷4
=0.375
then to get ∅ find the tan inverse of 0.375 you'll get 20.55604...
put it in two decimal point...20.56°
What is the 7th term in the sequence below?
-19, -7, 5, 17, .....
Select one:
a.65
b.29
c.101
d.53
Answers
Answer:
53
Step-by-step explanation:
—19 + 12 = —7
—7 + 12 = 5
5 + 12 = 17
.
.
.
so the n term of the sequence will be: 12n — 31
so 7th term will be: 12 × 7 — 31 = 53
Answer:
d. 53
Step-by-step explanation:
increases 12 units at each step:
17 + 12 = 29
29 +12 = 41
41 + 12 = 53 (7th term)
Hope this helps
can someone help pls
Answers
Answer:
[tex]5.5[/tex]
Step-by-step explanation:
Since 1pt = 2qt, 2.75pt = 5.5qt
What is the mass of an object that has 50 newtons of force and is accelerating at the rate of 2 m/s/s
HELP PLEASE!! Do not explain need full answer
Answers
Answer:
F= ma
m = F/a
m = 50/2
m = 25
Answer equal 25
Help please: A bus and a train leave a station at the same time, t = 0. The graph shows the bus's distance to the next station over time. The train moves more quickly than the bus. Write an equation of a function that could represent the train's distance to the next station.
Answers
Answer:
y = (5/2)x + 20
Step-by-step explanation:
Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.
All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get
y=(5/2)x +20