The equation y=2(x-1)^2-5y=2(x−1)
2
−5y, equals, 2, left parenthesis, x, minus, 1, right parenthesis, squared, minus, 5 is graphed in the xyxyx, y-plane. Which of the following statements about the graph is true?

Answers

Answer 1

Answer:

(b) It is symmetrical about [tex]x = 1[/tex]

Step-by-step explanation:

Given

[tex]y = 2(x - 1)^2 - 5[/tex]

See attachment for options

Required

True statement about the graph

First, we check the line of symmetric

[tex]y = 2(x - 1)^2 - 5[/tex]

Expand

[tex]y = 2(x^2 - 2x + 1) - 5[/tex]

Open bracket

[tex]y = 2x^2 - 4x + 2 - 5[/tex]

[tex]y = 2x^2 - 4x -3[/tex]

A quadratic equation [tex]y = ax^2 + bx + c[/tex] has the following line of symmetry

[tex]x = -\frac{b}{2a}[/tex]

By comparison, the equation becomes:

[tex]x = -\frac{-4}{2*2}[/tex]

[tex]x = \frac{4}{4}[/tex]

[tex]x = 1[/tex]

Hence, the line of symmetry is at: [tex]x = 1[/tex]

(b) is true.

The Equation Y=2(x-1)^2-5y=2(x1) 2 5y, Equals, 2, Left Parenthesis, X, Minus, 1, Right Parenthesis, Squared,
Answer 2

Answer: It is symmetrical about x=1

Step-by-step explanation:


Related Questions

Fiona went jewelry shopping and bought a bracelet for $1 367, a pair of earrings for $800, and a necklace for $4 500. What was the total amount of money she spent?

Answers

Answer: $1367 + $800 + $4500 = $6667

6667$ Im pretty sure that’s the answer

please help me rn i need it! same question on the 2 pictures!

Answers

Answer:

C. Gregory's graph is incorrect because it shows 2 inches of growth for each week, when it should show 0.75 inches of growth each week

Step-by-step explanation:

Given that the plant grows 1.5 inches (y) every 2 weeks (x), it means that:

Rate of change = y/x = 1.5/2 = 0.75 inches per week

The graph he should create should have a rate of change of 0.75. that is, it should show 0.75 inches growth for every week.

The graph shown above has a rate of change of 2 inches per week.

Thus, the graph is incorrect. It should be showing 0.75 inches of growth per week instead of 2 inches.

The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?
A.
4x – 2y = –6
B.
y = 2x – 5
C.
y = 3x + 4
D.
2x + y = –1

Answers

Answer:

i think the answer is y = 3x + 4

Step-by-step explanation:

:)

solve for missing side

Answers

Answer:

50.99

Step-by-step explanation:

Answer:

x = −38

Step-by-step explanation:

You have an angle: 50 and the opposite side: 10 and you need the hypotenuse.

For this problem, you need to use Sin

Sin (50) = 10/x

Multiply both sides by x

X (Sin(50)) = 10

Then divide by (Sin(50))

x = 10/ Sin(50)

x = −38

Help is needed here…

Answers

Answer: 2(−5x^2 +9)(5x^2 +9)

Step-by-step explanation:

Given: 162-50x^4

Factor out 2:  2(81-25x^4)

Rewrite:  2(9^2-(5x^2)^2)

Use difference of squares:  2(9-5x^2)(9+5x^2)

Reorder (if you need to) 2(-5x^2+9)(5x^2+9)

Answer:

6(27 - 8x^4)

Step-by-step explanation:

162 - 50x^4 /2

2(81 - 24x^4) /3

6(27 - 8x^4)

Help me with this anyone

Answers

Answer:

1/4

Step-by-step explanation:

b+-sqrt b^2-4ac all over 2a

solve for w: 7w < -56

Answers

Lets solve

[tex]\\ \sf\longmapsto 7w<-56[/tex]

Take 7 to right side

[tex]\\ \sf\longmapsto w<dfrac{-56}{7}[/tex]

Simplify

[tex]\\ \sf\longmapsto w<-8[/tex]

Answer:

[tex]\boxed {\boxed {\sf w < -8}}[/tex]

Step-by-step explanation:

We are given an inequality and asked to solve for the variable w.

[tex]7w < -56[/tex]

In order to solve for w, we must isolate the variable. It is being multiplied by 7. The inverse of multiplication is division, so we divide both sides of the inequality by 7.

[tex]\frac {7w}{7} < \frac {-56}{7}[/tex]

[tex]w < \frac{-56}{7}[/tex]

[tex]w < -8[/tex]

w is less than -8 or w < -8.

x + 4 < 16 what the heck is the dang answer

Answers

Answer:

x < 12

Step-by-step explanation:

x +4 <16

x < 16 - 4

x < 12

Please Mark me brainliest

In a biconditional statement, the output is true if at least one input is true.

-true
-false

Answers

In a biconditonal statement the output is true if at least one input is true….this is false.

Solve the equation by completing the square.

Answers

Solve the equation by completing the square.

for every 8 dollar oliver earns, he saves 4.2 dollar. how much will he save if he earns 180?

Answers

Answer:

94.5

Step-by-step explanation:

Every 8 dollars means he saves 4.2 dollars

180 ÷ 8 = 22.5

22.5 × 4.2 = 94.5

Answer: 94,5

180:8 *4,2=22,5 *4,2 =94,5

Step-by-step explanation:

7TH GRADE MATH. PLS HELP

Answers

Answer:

192 squared centimeters

Step-by-step explanation:

area equal to 1/2 * base * perpendicular height

1/2*24*16

=192 squared centimeters

Answer: 192 cm squared

Step-by-step explanation:

Area of a triangle: 1/2bh

1/2x basex height

Base= 24 cm

Height: 16 cm

24x16=384

1/2x384= 192

192 cm squared

Hope this helps:) and brainliest would be appreciated thanks!

(x/a)+(x/b)=c; where a≠0, b≠0, a≠-b, solve for x

Answers

Answer:

I hope it is correct.. :)

find the length of AB

Answers

Answer:

AB=44.98298

Step-by-step explanation:

Since this is  a right triangle, we can use trig functions

cos theta = adj / hyp

cos 12 = 44/AB

AB cos 12 = 44

AB = 44/ cos 12

AB=44.98298

Factor 16p4 - 24p3. find the factor

Answers

Answer:

8p^3 ( 2p -3)

Step-by-step explanation:

16p^4 - 24p^3

8*2* p^3 *p - 3*8*p^3

Factor out the common terms

8p^3 ( 2p -3)

Consider the first month's sales data for the Midwest region.
Select the correct answer from each drop-down menu.

1. 85
2. 15
3. 37
4. 18

1. Significantly different from
2. Relatively close to

1. inconsistent
2. consistent

Answers

Answer:

The correct options are:

1. Significantly different from

1. Inconsistent

Explanation:

Sales Data for Midwest:

Midwest region total stores Sales equal to 63.1%. The percentage for current store is less than total stores therefore data in the given table is not consistent. The data given is relatively for the first month sales and is significantly different from the other stores.

Answer:

In the picture

Step-by-step explanation:

From Plato / Edm

A shopkeeper bought Rice cooker for Rs. 5000 and sold it to a customer for Rs. 5,085 with 13% VAT.
Find his profit or loss percent.

Answers

Answer:

number to get a better price

Answer:

if I'm not wrong,then this is the equation

Step-by-step explanation:

CP=5000

SP=5085

VAT=13℅

now,

VAT amount=VAT℅ OF SP

=13℅ OF 5085

=13/100*5085

=rs.661.05

again,

profit℅= SP-CP/CP*100℅

=85/500*100

=17℅ answer

help pls my mom will yell at me lol :) thanks

Answers

Answer:

The y intercept of f(x) is 8 and the equation of the horizontal asymptote is y = 0

Answered by GAUTHMATH


Please zoom in on the question
I will mark brainliast

Answers

B graph of function

The denominator of a fraction is 5 more than the numerator. if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4. find the original fraction.

Answers

Answer:

12/17

Step-by-step explanation:

Let

Numerator of the fraction = x

Denominator of the fraction = x + 5

The fraction is

x / (x + 5)

if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4.

x + 3 / (x + 5) + 3 = 3/4

x + 3 / x + 8 = 3/4

Cross multiply

(x + 3)4 = (x + 8)3

4x + 12 = 3x + 24

4x - 3x = 24 - 12

x = 12

Recall,

x / (x + 5)

= 12 / (12 + 5)

= 12/17

The original equation = 12/17

Simplify this equation: 10f + 3 = 23 + 6f

Answers

Answer:

Step-by-step explanation:

10f + 3 = 23 + 6f

4f + 3 = 23

4f = 20

f = 5

Answer:

f = 5

Step-by-step explanation:

10f + 3 = 23 + 6f

Move the variable to the left-hand side and change its sign

10f + 3 - 6f = 23

Move the constant to the right-hand side and change its sign

10f - 6f = 23 - 3

Collect like terms and Subtract the numbers

4f = 23 - 3

4f = 20

Then divide both sides of the equation by 4

f = 5

I need help with this

Answers

x=2*49=98
98 degrees

Rachel has 37 videos and decides to purchase 2 more each week. Write an equation describing this situation.

Answers

Answer:

T = 2w + 37

Step-by-step explanation:

Let T represent the total amount of videos Rachel has after w weeks

Rachel already owns 37 videos

She purchases 2 more each week

Therefore, after w weeks, the total amount of videos Rachel has can be represented by the expression:

2w + 37

Then the total after w weeks can be modeled by the equation:

T = 2w + 37

If m


Please Help!!!!!!!!!!!!

Answers

Answer:

45 degrees

Step-by-step explanation:

the 2 angles are supplementary (add up to 180 degrees)

180-135=45

Find the midpoint of AC.

Answers

Answer:

(0+a)/2 , (0+a)/2

= (a/2, a/2)

Answered by GAUTHMATH

Please help with this on the picture

Answers

Answer:

a) 81

b) 16,807

c) 100

d) 78125

Step-by-step explanation:

a)

3^2 x 3^2

Step 1. Simplify the exponents

3^2 = 3 x 3 = 9

Step 2. Multiply

9 x 9 = 81
••••••••••••••••••••••••••••••••

b)

7 x 7^4

Step 1. Simplify the exponent

7^4 = 7 x 7 x 7 x 7 = 2401

Step 2. Multiply

7 x 2401 = 16,807
••••••••••••••••••••••••••••••••

c)

10^9 divided by 10^7

Step 1. Simplify the exponents

10^9 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000

10^7 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

Step 2. Divide

1000000000 divided by 10000000 = 100
••••••••••••••••••••••••••••••••

d)

5^8 divided by 5

Step 1. Simplify the exponent

5^8 = 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390625

Step 2. Divide

390625 divided by 5 = 78125



what is soil erosion​

Answers

Answer:

Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.

It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.

the question is in the picture

Answers

Answer:

∠CBA

Step-by-step explanation:

Answer:

<CBA

Step-by-step explanation:

The vertex has to be in the middle

<CBA

<ABC

or we can name it with just the vertex

<B

Which number sentence is not true?
A. |-20| < 20
B. |9| = 9
C. |-20| > |9|
D. |9| < |20|

Answers

|x| basically means the count of how far from zero. It will always be a positive number.

So the answer is A. |-20| <  20

because 20 is not greater than 20

GEOMETRY QUESTION- Find m < h

Answers

9514 1404 393

Answer:

  m∠H = 38°

Step-by-step explanation:

External angle GFD is the sum of internal angles G and H.

  14x +1 = 89° +(5x -7)

  9x = 81°

  x = 9°

Then the measure of angle H is ...

  angle H = 5(9°) -7° = 38°

Other Questions
i need help asap !!! 1)2x(3x^2-2x+1)2)4x(1-x-3x) Which is characteristic of an exit wound?Minimal bleeding typically appears.It is typically a large wound.Gunpowder grains are often found around it.It often has a smooth appearance. Assuming that a person going to community college can't afford to go to a four-year college is an example of a) a generalization. b) discrimination. O c) a stereotype. O d) tolerance. Consider the following JavaScript code fragment:var greeting = function ( name ) {console.log ( name )}The best answer for what is wrong with this code is:Group of answer choices The author of passage 1 would probably respond to the reference in passage 2 to the social isolation inherent in living aloneby PLZZZZZ HELP 15 POINTSWrite a PEEL paragraph: Evaluate the effectiveness of being an upstander when confronted with a bullying situationWrong answers will be deleted The graph of which functions has an axis of symmetry at x = -1/4? find the trigonometric ratio tan m multiple choice Bi 7: Khoanh trn p n ng.1.My mother told me to (put/ get) on warm clothes before I went out2. Jim really (got/ put) me down when he forgot my birthday.3. My father never (tells/ drops) me off but my mother is always shouting at me.4. I couldnt believe she (turned/ got) down my invitation for the second time.5. My mother often lets me (look/ take) after my younger brother.6. Why did she (break/ stay) up with you?She said I didnt care much about her.7. Please (drop/ tell) me off in front of the theater.8. Weve been (saving/ looking) up to travel to New York this summer.9. Have you (take/ put) out clean towels for the guests?10. (Take/ Dress) off your rain coat before you come in.11. I remember (paying/ looking) Jim back but he kept asking me for his money.12. Jims poor test results (got/ looked) his parents down.13. grandmother (died/ passed) away before I was born.14. I have many tasks to (attend/ took) to.15. Who does this bag (belong/ own) to? Bi 8: Hon thnh cc cu di y bng cch in tiu tthch hp vo ch trng.1.We will set _________for Tokyo in the next few hours.2. Everyone says that Jim takes _________his father but I think he is more like his mother.3. Who will take _________your position when you are on parental leave?4. There are four of us so Peter cuts the cake _________four pieces.5. I am going to buy a new bike, so I put my old one _________.6. Remember to put the trash _________before the garbage truck comes.7. You must take _________yourhat before you come intoa temple.8. I hate the way my manager shuts me _________when she disagrees with me.9. What are you looking _________ ? My car keys.10. Watch _________for the dog. Everyone says that it is a fierce dog. Why don't miss Saunders lock her room ? 37. I dont like pork. My sister doesnt like pork, either. I dont like pork. Neither___________________________________________________________ 38. I use a cassette to practice listening skills. A cassette _______________________________________________________________________ 39. Im very keen on joining the rock concert next Sunday. Im looking _____________________________________________________________________40. Marys mother said to her, Bring your raincoat along when you leave home today. Marys mother asked ______________________________________________________________41. Lan said to Quan, How often does your sister go to the zoo? Lan asked _______________________________________________________________________ 42. Henrys success is his parents pride. Henrys parents are ________________________________________________________________ pls help Drag each tile to the correct location on the inequality. Each tile can be used more than once.Consider the graphed function.y28-6H4+2-6-4-22468-2-68What are the domain and the range of this function?-52021 Edmentum. All rights reserved. 6. Which of the following illustrates a traditional gender norm?A. Men cooking family mealsB. Men caring for childrenC. Women providing incomeD. Women caring for children Given the causes and impacts of climate change in Africa; list and discuss five climate adaptation and mitigationstrategies suitable for your local setting. Following the Peloponnesian War, which country conquered Greece?A CarthageB PersiaC EgyptD Macedon The yearly income of a family was Rs. 5,00,000. Tax was exempted upto Rs. 1,50,000. If the tax for the first Rs 20,00,000 was 10 % and for the rest was 15%, find how much amount of income tax will be paid in a year? A team of 5people to be selected from 7women & 6men. Find the number of different teams that could be selected if there must be more women than men in the team how computer network reduce the cost of computer hardware? explain with example. Consider the reaction below. How much heat is absorbed if 5.00 moles of nitrogen reactwith excess oxygen?2 N2 (8) + O2(g) 2 N20 (8) AHrxn- +163.2 kJ