Solve (x - 2)^2 - 3 = 1 graphically. That is graph y = (x - 2)^2 - 3 and y = 1 on the same set of axes and find the x-value(s) of any points of intersection. Then use algebraic strategies to solve the equation and verify that your graphical solutions are correct.
Answers
Check the attachment(s) for the graphs pertaining to the question
No. 1) Check graph [first attachment]
No. 2) y = (x - 2)^2 - 3, y = 1
(x - 2)^2 - 3 = 1,
(x - 2)^2 = 4
x - 2 = √4, x - 2 = - √4
x = 4, x = 0
Substitute back to determine the respectively y-value:
y = (4 - 2)^2 - 3 = (2)^2 - 3 = 4 - 3 = 1
Check: y = (0 - 2)^2 - 3 = (-2)^2 - 3 = 4 - 3 = 1
So the points of intersection are (4, 1) and (0, 1). According to the graph, that is correct.
Related Questions
Mr Morris built a fence to enclose his yard he put 3/4 of the fence on Monday on Tusday he put up 1/6 of the fence and on wensday he put up the rest of the fence what portion of the fence on Wensday
Answers
Answer:Portion put up on Wednesday =1/12
Step-by-step explanation:
Since we are dealing with fraction
Let the total fence = 1 whole
such that fence put up on Monday = 3/4
and fence he put p on Tuesday = 1/6
Since he put up the rest on Wednesday, To find the portion put up we have that
Portion put up on Wednesday =Total portion of fence - ( Portion put up on Monday and Tuesday)
=1- ( 3/4 + 1/6)
= 1- 18+ 4/ 24
=1- 22/24
= 2/24
Portion put up on Wednesday =1/12
Answer:
Step-by-step explanation:
The graph of h(x) = g(x + 5) has
Answers
Answer:
Step-by-step explanation:
Simplify the following question
x+9-10=500
Answers
Step-by-step explanation:
x+9-10=500
x-1=500
x=500+1=501
Step-by-step explanation:
solution
here,
given,
x+9-10= 500
or, x-1= 500
or, x= 500-1
or, x= 499
hope this helps u...
Determine the domain and the range of the graph.
Answers
Answer:
Domain: (-∞,∞)
Range: -1
Step-by-step explanation:
Domain means the x-coordinates covered:
(-∞,∞)
Range means the y-coordinates covered:
Only -1 because there are no other existing y-coordinates.
You have to spend less than $500 at the mall. Each pair of pants costs $25 and each shirt costs $10. Write an inequality to represent the situation. Let x represent the number of pants you buy and let y represent the number of shirts you buy.
Answers
Answer:
25x+10y<500
Step-by-step explanation:
Answer:
25x+10y<500
Step-by-step explanation:
25 times number of pants purchased plus 10 times number of shirts purchased must be less than 500
solve for x: -1< x+3 <5
Answers
Answer:
Im not sure but i belive the answer is −4<x<2
A boat travels 336 miles in 67
hours (with a constant speed).
How far can it travel in 58 hours
(with the same speed)?
Answers
Answer:
290.87 miles
Step-by-step explanation:
336 miles - 67 hours
x miles - 58 hours
Cross multiply
67x = 336 x 58
67x = 19488.
Divide both sides by 67
x = 19488/67
x = 290.87 miles
Last Year
5. The frequency table shows the scores from rolling a dice 10 times.
Score Frequency
1 2
2 2
3 1
4 0
5 3
6 2
work out the mean
Answers
Answer:
3
Step-by-step explanation:
The computation of the mean is shown below:
= Total sum ÷ number of observations
= (1 + 2 + 2 + 2 + 3 + 1 + 4 + 0 + 5 + 3 + 6 + 2) ÷ 12
= 31 ÷ 12
= 2.58
= 2.6
= 3
What Is The Estimated Weight Of Three Containers Weighing 1.656 kg each? (Math 5 Quarter 2, Week 5) I Need A Nice And Clear Answer
Answers
Answer:
[tex]Estimate = 5.0kg[/tex]
Step-by-step explanation:
Given
[tex]Weight = 1.656kg[/tex]
Required
Determine the estimated for 3 containers
Since the weight of all containers are the same, we simply multiply the given weight by the number of containers.
i.e.
[tex]Estimate = Number\ of\ containers * Weight\ of\ each[/tex]
[tex]Estimate = 3 * 1.656kg[/tex]
[tex]Estimate = 4.968kg[/tex]
[tex]Estimate = 5.0kg[/tex] --- approximated
So, the estimated weight is 5.0kg
A bakery sold 246 vanilla cupcakes in a day, which was 82% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
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What is m /_ 2?
42
48
90
138
Answers
Answer:
May be a 42 because vertically opposite angles are equal
m<2 = 42
because they are opposite angles
opposite angles are equivalent
Kaitlyn solved the equation 5y=15 and found answer to be y=75. In complete sentence or two, explain what kaitylns error was? What did she do wrong? What is correct answer? Show your work and explain reasoning
Answers
Answer:
3
Step-by-step explanation:
Instead of dividing, Kaitlyn multiplied both sides by 5. Divide both sides by 5 to get the y by itself and you get 3
Answer:
y=3
Step-by-step explanation:
She assumed y=75, but if y=75 then you would multiply 75×5 and that doesn't equal 15. To find y you would need to divide 5 from both sides. Therefore 15÷5 would be equal to y=3. Hope this helps!
What is the x intercept of the function graphed below?
Answers
Answer:
B (2,0)
Step-by-step explanation:
The line crosses the x axis at 2.
Can yall help answer these math questions? It’s for marks I’d really appreciate it if you guys can answer.
Answers
Answer:
A)
g is game
m is money
g = 6m
B) 5g = 30m
Step-by-step explanation:
please help i’m stuck on my geometry hw. :(
Answers
Answer:
the reflection line would be x=k, so it would be (4,7) I believe, I may not be correct since I haven't done these for a while.
Step-by-step explanation:
What percent of 144 is 139?
Answers
Answer: 96.53 would be the answer.
I believe the answer is 93.53
Dupa ce a cheltuit in prima zi 0.4 dintro suma de bani iar in a doua zi o treime din ceea ce ia ramas. Damian mai poate cheltui 60 lei. Ce suma a avut initial?
Answers
Răspuns:
150 Lei
Explicație pas cu pas:
Fie suma inițială = x
Cheltuieli în prima zi = 0,4x
Cheltuieli pentru a doua zi = 1/3 (x - 0,4x)
Suma rămasă = 60
x = 0,4x + 1/3 (0,6x) + 60
x = 0,4x + 0,2x + 60
x = 0,6x + 60
x - 0,6x = 60
0,4x = 60
x = 60 / 0,4
x = 150 Lei
A concave octagon
B convex quadrilateral
C concave quadrilateral
D convex octagon
Answers
Answer: concave
Step-by-step explanation:
lions spend about 5/6 of their day sleeping. how many hours a day does a lion sleep? write an equation to model your work
Answers
Answer:
20 hours a day.
Step-by-step explanation:
( 5 / 6 ) x 24 = 20
The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)
Answers
Answer:
a= 12, c= 24
The Solution:
a=?, c=?, No. of people attending=36
since c is twice as many as a, a= 2a
a + 2a= 36
3a= 36
(divide both sides by 3)
3a/3=36/3
a= 12
therefore, a= 12
since c is equals to 2a,
2a= 2(12)
2a= 24
therefore, c= 24
GRANDMA HAS 4 BAGS OF SOIL FOR HER FLOWER POTS ESCH FLOWER POT NEEDS 3/4 OF A BAG OF SOIL HOW MANY FLOWER POTS CAN SHE FILL
Answers
Answer:
5 1/3
Step-by-step explanation:
4 divided by 3/4
Each pot takes 3/4 bag and with that we find that we can fill 5 pots with a remaining 1/4
Explain why Roy’s diagram is not correct.
Answers
Answer:
Looks like he scaled it 2 1/2, not 1 1/2
Step-by-step explanation:
proportionally he went from CR of 4 units to CZ of 10 units. That's a 2 1/2 scale increase, not 1 1/2.
Which one is prime 32,42,29,15
Answers
Answer:
29
Step-by-step explanation:
32 can be created from 4 x 8, so it is not.
42 can be created from 6 x 7, so it is not.
15 can be created from 5 x 3, so it is not.
29 cannot be created from any numbers multiplied.
A garden is made up of flowers and shrubs in the ratio 6:11. If there are 48 flowers in your garden, how many shrubs are there?
The answer, please ASAP
Answers
Answer:
Step-by-step explanation:
que tu hablas español¿
Help please
Look at picture
Supplementary angles
Answers
Answer:
Both are supplementary angles so
(2x-3) +71 = 180
2x - 3= 180 - 71 = 109
2x = 109 +3 =112
X = 112 / 2= 56
x = 56
Which equation is equivalent to 12crt x+15 = 36?
Answers
Answer:
Step-by-step explanation:
[tex]12\sqrt[3]{x+15} = 36\\\\[/tex]
Divide both sides by 12
[tex]\frac{12\sqrt[3]{x+15}}{12}=\frac{36}{12}\\\\ \sqrt[3]{x+15} =3[/tex]
Answer:
the first option is correct!!
What’s 8367 divided by 7
Answers
Answer:
1195.28
Step-by-step explanation:
We have a division problem which is 8,367 ÷ 7.
When it comes to division, you always look at the first number that is being split equally by the second number.
Follow the steps of the division problem :
Find how many times 7 goes into 8 :
7 * 1 = 7
Subtract 7 from 8 :
8 - 7
1
We have 1 in our thousands place, move down the number next to 8 in 8367 which is 3, and see how many times 7 goes into that number :
13
7 * 1 = 7
Therefore 7 only goes in once, put 1 next to 1 on top of the division problem, subtract 7 from 13 :
13 - 7
6
Move the 6 down from 8367 and see how many times 7 goes into that :
7 * 9 = 63
Subtract 63 from 66 :
3
Put 9 next to the one, as for now we have 119, now bring down the last value in 8367 and see how many times 7 goes into that :
37
7 * 5
35
Subtract 37 - 35 :
2
Therefore, our answer is 1195.28 , 1195 Remainder 2
Step-by-step explanation: The result of 8367/7 is a non-terminating, repeating decimal. The repeating pattern above, 285714, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 8367/7 = 1195.(285714): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 8367 / 7 = 1195.285714… .
8367 divided by 7 in decimal = 1195.285714
8367 divided by 7 in fraction = 8367 divided 7
8367 divided by 7 in percentage = 119528.57142857%
If it is okie can i have brainliest? it took me a while to write all of this.=3
Question 2 of 5
What value(s) of x will make x2 = 36 true?
O A V6
B. 8 and -8
C. 6
D. 6 and -6
Answers
Answer:
it was actually D i just got the question wrong because of that person
Step-by-step explanation:
Answer two questions about Systems A and B:System A x+3y=−9 2x+y=4 System B 3x+4y=−9 2x+y=4
Answers
Answer:
A=(21/5,-22/5) B=(5,-6)
Step-by-step explanation:
23h^3-46h^2-48+24h pls help
Answers
Answer:
(h−2)(23h^2 +24)
Step-by-step explanation:
23h
3
−46h
2
−48+24h
Do the grouping 23h
3
−46h
2
−48+24h=(23h
3
−46h
2
)+(−48+24h), and factor out 23h
2
in the first and 24 in the second group.
23h
2
(h−2)+24(h−2)
Factor out common term h−2 by using distributive property. Polynomial 23h
2
+24 is not factored since it does not have any rational roots.
(h−2)(23h
2
+24)