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

Ms. Jones wants to paint her kitchen's wall. She knows that 2 gallons of paint cover 80 square feet, and each gallon costs $20.80. If the area of the kitchen is 320 square feet, how much will she pay to buy the gallons of paint needed? Round your answer to the nearest cent (HUNDRED TH), and write ONLY a number (NO $)​

Answers

She will need 4 two gallons and it will be 83.2 in total

In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
bx = -7

Answers

Answer:

x = -7/b

Step-by-step explanation:

bx = -7

Divide each side by b

bx/b = -7/b

x =-7/b

Given :

Solve the equation for x : bx = -7

Solution :

Here we are provided to find for x so from the equation by cross multiplying we will remove b to the right hand side of the equation and then we can get x

bx = -7

Now, to cross multiply

x = -7/b

Therefore, the required answer is -7/b

Which graph represents an exponential function?

Answers

Answer: where's the pic?

Step-by-step explanation:

Chris rents a car for a total of £375. The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car? You must show your working.
I have attempted the question (see picture), but I've only managed to get 2/3 marks!!! Please help! (I will award brainliest btw) TIA ;-)​

Answers

9514 1404 393

Answer:

  4 days

Step-by-step explanation:

The total charges can be modeled by ...

  c = 75d + 75 . . . . . . charges for d days

Filling in the given charge, we find ...

  375 = 75d +75

  300 = 75d . . . . . . . subtract 75

  4 = d . . . . . . . . . . divide by 75

Chris rented the car for 4 days.

Answer:

4 DAYS!! THIS GETS ALL 3 MARKS!!!

Step-by-step explanation:

COPY AND PASTE THIS I USED IT EVEN THO ITS LONG <333 IT GETS THE 3 MARKS

Chris rents a car for a total of £375. The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car? You must show your working.

£375.00 - £150.00 = £225.00

£225.00 - £75.00 = £150.00

£150.00 - £75.00 = £75.00

£75.00 - £75.00 = £00.00

= Chris rented the car for 4 days

225.00 ÷ 75 = 3

3 days + 1 days = 4 days

he total charges can be modeled by ...

c = 75d + 75 . . . . . . charges for d days

Filling in the given charge, we find ...

375 = 75d +75

300 = 75d . . . . . . . subtract 75

4 = d . . . . . . . . . . divide by 75

Answer:4 days

Total=375

150+(75×4)=150+75+75+75=375

4 days

Which of the equations below could be the equation of this parabola?
O A. y = -1/2 x2
O B. y = 1/2 x2
O C. y= 1/2 y2
O D. x= -1/2 y2

Answers

After answering the question provided, we can predict that the result will be as  The position and direction of the relevant parabola will determine the appropriate response.

What is equation?

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

It is hard to tell which equation may be the equation of the parabola without further details on the parabola's orientation and location.

The equations in options A and B are parabolas with upward or downward openings and a vertex at the origin. The equation of a parabola with its vertex at the origin and an opening to the right or left is in Option C. The equation of a parabola with an upwards or downwards opening and its vertex at the point is in Option D. (0,0).

The position and direction of the relevant parabola will determine the appropriate response.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

What is the greatest common factor of the polynomial below?
12x2-9x
A. 3x2
B. 3x
C. 4x2
D. 4x

Answers

Answer:

3x

Step-by-step explanation:

factoring it we get

3x(4x-3)

1. Shoe B was created by rotating Shoe A counterclockwise about a fixed point. How many degrees was the shoe rotated?

Answers

Answer:

90°

Step-by-step explanation:

Rotation counterclockwise means the rotating an object over a fixed point in the opposite direction of our normal wall clock.

To get exact position of shoe B, shoe A would be rotated in about 90° in the opposite direction of a clock.

Thus, shoe A was rotated 90° about a fixed point to create shoe B.

Find the greatest common factor of 15 x²y³ and -18 x³yz.
_x--y--​

Answers

Answer:

3x^2y

Step-by-step explanation:

Its common factor it this ^ this symbol represent power

How many 3-digit numbers are possible to form with all the digits being different?

Answers

Answer:

We can make 120 three digit distinct numbers

Step-by-step explanation:

Answer:

648

Step-by-step explanation:

If the number is xyz, we have:

x = 1 to 9, total 9 waysy = 0 to 9, total 10 ways minus 1 to prevent repetition, so 9 waysz = 0 to 9, total 10 ways minus 2 ways to prevent repetition, so 8 ways

Total number of possible 3-digit numbers:

9*9*8 = 648

PLEASE HELP!! what is the value of x?

Answers

Answer:

[tex]\frac{3x}{4x} =\frac{3x+7}{5x-8}[/tex]

[tex]\frac{3}{4} =\frac{3x+7}{5x-8}\: (cross\: multiply)[/tex]

[tex]3(5x-8)=4(3x+7)[/tex]

[tex]15x-24=12x+28\\+24~~~~~~~~~~~~+24[/tex]

[tex]15x=12x+52\\-12x~~~~-12x\\-------\\3x=52[/tex]

[tex]\frac{3x}{3} =\frac{52}{3}[/tex]

[tex]x=52/3[/tex]

[tex]Answer:C[/tex]

-------------------------

Hope it helps...

Have a great day!!

Find the following sums. Please help.

Answers

Answer:

5m-n-4p

4a^2+6x-3

Step-by-step explanation:

3m-4n +7p

-5m +9n -6p

+7m -6n -5p

----------------------

Combine like terms

3m-4n +7p

-5m +9n -6p

+7m -6n -5p

----------------------

(3-5+7)m  +(-4+9-6)n  +(7-6-5)p

5m-n-4p

a^2  -3x +1

a^2   +9x -6

2a^2 +0x +2

----------------------

Combine like terms

a^2  -3x +1

a^2   +9x -6

2a^2 +0x +2

----------------------

(1+1+2)a^2 +(-3+9+0)x +(1-6+2)

4a^2+6x-3

#1

[tex]\\ \sf\longmapsto 3m-4n+7p+(-5m+9n-6p)+7m-6n-5p[/tex]

[tex]\\ \sf\longmapsto 3m-4n+7p-5m+9n-6p+7m-6n-5p[/tex]

[tex]\\ \sf\longmapsto 3m-5m+7m-4n+9n-6n+7p-6p-5p[/tex]

[tex]\\ \sf\longmapsto 5m-n-4p[/tex]

#2

[tex]\\ \sf\longmapsto a^2-3x+1+a^2+9x-6+2a^2+2[/tex]

[tex]\\ \sf\longmapsto a^2+a^2+2a^2-3x+9x+1-6+2[/tex]

[tex]\\ \sf\longmapsto 4a^2+6x-3[/tex]

please answer quick!

Answers

Answer:

-4/5

Step-by-step explanation:

sin theta = opp/ hyp

sin theta = -3 /5

Using the Pythagorean theorem

opp ^2 + adj ^2 = hyp ^2

(-3) ^2 + adj ^2 = 5^2

9+ adj ^2 = 25

adj ^2 = 25 - 9

adj ^2 = 16

Taking the square root of each side

adj = ±4

Since we are in the 3rd quadrant  sin and cos are both negative so adj must be negative

adj = -4

cos theta = adj / hyp

cos theta = -4/5

Choose the correct equation for the graph shown below

Answers

Answer:

the second option, y=1/2cos(x- pi/4)

Step-by-step explanation:

Find the value of x.

Answers

Ok the answer is 7524482819484

The scale of a map is 1:40000. What distance on the map represents a real distance of 5km?​

Answers

Answer:

0.125

Step-by-step explanation:

1=40000

x-5000

x=5000÷40000=1/8=0.125

The system of equations shown below is graphed on a coordinate grid:

3y + x = 4
2y − x = 6

Which statement is true about the coordinates of the point that is the solution to the system of equations?

A. It is (−2, 2) and lies on both lines.
B. It is (−5, 3) and lies on both lines.
C. It is (−5, 3) and does not lie on either line.
D. It is (−2, 2) and does not lie on either line.

Please help asap!! WILL GIVE BRAINlIEST!! tysssm if u help!!!

Answers

Answer:

add 2 equations given

3y+x+2y- x = 10

5y =10

y = 2

find x using the value of y

x = - 2

these values of x and y are can satisfy both equations .so (-2,2) lies on both lines

The circumference of a circle is 2π m. Find its diameter, in meters.

Answers

Answer:

The diameter is 2 meters

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

2 pi = pi *d

Divide each side by pi

2 = d

The diameter is 2 meters

Determine the value of K that will cause f(x)=Kx^2+4x-3 to intersect the line g(x)=2x-7 at one point. SHOW ALL YOUR STEPS, DON'T USE DECIMALS INSTEAD USE FRACTIONS PLEASE!!!!!

Answers

Given:

The function are:

[tex]f(x)=Kx^2+4x-3[/tex]

[tex]g(x)=2x-7[/tex]

The graph of f(x) intersect the line g(x) at one point.

To find:

The value of K.

Solution:

The graph of f(x) intersect the line g(x) at one point. It means the line g(x) is the tangent line.

We have,

[tex]f(x)=Kx^2+4x-3[/tex]

Differentiate this function with respect to x.

[tex]f'(x)=K(2x)+4(1)-(0)[/tex]

[tex]f'(x)=2Kx+4[/tex]

Let the point of tangency is [tex](x_0,y_0)[/tex]. So, the slope of the tangent line is:

[tex][f'(x)]_{(x_0,y_0)}=2Kx_0+4[/tex]

On comparing [tex]g(x)=2x-7[/tex] with slope-intercept form, we get

[tex]m=2[/tex]

So, the slope of the tangent line is 2.

[tex]2Kx_0+4=2[/tex]

[tex]2Kx_0=2-4[/tex]

[tex]x_0=\dfrac{-2}{2K}[/tex]

[tex]x_0=-\dfrac{1}{K}[/tex]

Putting [tex]x=x_0,g(x)=y_0[/tex] in g(x), we get

[tex]y_0=2x_0-7[/tex]

Putting [tex]x=-\dfrac{1}{K}[/tex] in the above equation, we get

[tex]y_0=2(-\dfrac{1}{K})-7[/tex]

[tex]y_0=-\dfrac{2}{K}-7[/tex]

Putting [tex]x=-\dfrac{1}{K}[/tex] and [tex]f(x)=-\dfrac{2}{K}-7[/tex] in f(x).

[tex]-\dfrac{2}{K}-7=K\left(-\dfrac{1}{K}\right)^2+4(-\dfrac{1}{K})-3[/tex]

[tex]-\dfrac{2}{K}-7=\dfrac{1}{K}-\dfrac{4}{K}-3[/tex]

[tex]-\dfrac{2}{K}-7=\dfrac{-3}{K}-3[/tex]

Multiply both sides by K.

[tex]-2-7K=-3-3K[/tex]

[tex]-2+3=7K-3k[/tex]

[tex]1=4k[/tex]

[tex]\dfrac{1}{4}=K[/tex]

Therefore, the value of K is [tex]\dfrac{1}{4}[/tex].

Find the slope of the line for each pair of points (-17, -5) (15, -13)

Answers

(-17,-5) (15,-13)
-13 - -5/ 15 - -17
-8/32
The slope is -4

Susan's graduation picnic will cost $78 if it has 26 attendees. At most how many attendees can there be if Susan budgets a total of $81 for her graduation picnic?

Answers

Answer:

27 attendees

Step-by-step explanation:

First, we can find the cost per attendee.

78÷26

3

So $3 per attendee.

Then divide 81 by 3 to find the number of possible attendees.

81÷3=27

I hope this helps!

Chris and Josh have a total of 1,800 stamps in their collections, Josh and Jessica have a total of 2,200 stamps, and Jessica and Chris have a total of 2,000. How many stamps in all the three children have?

Answers

Answer: 3000 stamps

Step-by-step explanation:

Given

Chris and Josh have 1800 stamps

Josh and Jessica have 2200 stamps

Jessica and Chris have 2000 stamps

Suppose Chris, Josh, and Jessica have [tex]x,y, \text{and}\ z[/tex] stamps

[tex]\therefore x+y=1800\quad \ldots(i)\\\Rightarrow y+z=2200\quad \ldots(ii)\\\Rightarrow z+x=2000\quad \ldots(iii)\\\text{Add (i), (ii), and (iii)}\\\Rightarrow 2(x+y+z)=1800+2200+2000\\\Rightarrow x+y+z=3000[/tex]

Thus, all three have 3000 stamps

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level

Answers

Answer:

It must be a positive number since it represents a number of hours.

Step-by-step explanation:

Given Pieter's equation :

7h – 5(3h – 8) = –72

Opening up the bracket

7h - 15h + 40 = - 72

7h - 15h = - 72 - 40

-8h = - 112

Divide both sides by -8

-8h / -8 = - 112 / - 8

h = 14

Since, h represents the number of hours, and the value of h equals 14 (h cannot be negative), hence, option 2 is correct.

Answer:

B.It must be a positive number since it represents a numbers of hours.

Step-by-step explanation:

A hall has 22 rows of chairs there are 18 chairs in each row how many extra rows of chairs are needed to seat 468

Answers

Answer:

Total chairs = 18×22= 396

so no. of extra chairs need = 468-396 = 72

Now( 72/18) rows = 4 rows

Therefore 4 more rows are needed here

Hope it helps you

Answer: 4

Step-by-step explanation:

The amount of chairs in the hall can be found by multiplying 22 by 18 and getting 396. The amount of chairs needed is 468, so 468-396 gets you the amount of chairs still needed and the number 72. There are 18 chairs in each row, and 72/18 is 4. So 4 more rows are needed.

15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT

Answers

Answer:

I dont know

Step by Step Explanation:

nobodys helping me out 0.1

What is the measure of

Answers

60° because it's an equilateral triangle

what is the volume of the cylinder?
write you answer in terms of pi​

Answers

The volume of a cylinder is V=πr^2*h.

The volume of this cylinder is V=π(7)^2*12, which it V=588π.

In 60 words or fewer, write what you think the term economy means. Think about how money fits into your definition.

Answers

Step-by-step explanation:

An economy is made up of every single activity that has to do with production, consumption, and the buying and selling of goods or rendering services.

In an economy there are combinations of market transactions and decisions made collectively or in hierarchy. Individuals, families, businesses, governments make up the decision-making process.

Money is the legal tender of an economy. It is the medium of exchange that an economy uses for transactions.

Solve the inequality.
X-5 < 16
A. X> 21
B. x<21
C. x< 11
D. x> 11

Answers

Answer:

x < 21

Step-by-step explanation:

x - 5 < 16

x < 21           Add 5 to both sides

Answer:

B. x < 21

Step-by-step explanation:

x - 5 < 16

  +5    +5

x      <  21

The answer would be B.

Solve the equation x^2 - 4x + 6 = 9 by completing the square.

Answers

Hello!

x² - 4x + 6 = 9 <=>

<=> x² - 4x + 6 - 9 = 0 <=>

<=> x² - 4x - 3 = 0 <=>

<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>

<=> x = 4±√16+12/2 <=>

<=> x = 4±√28/2 <=>

<=> x = 4±2√7/2 =>

=> x = 4+2√7/2 and x = 4-2√7/2 =>

=> x = 2+√7 and x = 2-√7

The equation has two solutions.

Good luck! :)

Answer:  [tex]x= 2 + \sqrt{7}\\ or \\ x= 2 - \sqrt{7}[/tex]

how i got it?

[tex]x^2 - 4x + 6 = 9[/tex]

*subtract 9 on both sides*

[tex]x^2 - 4x + 6 - 9 = 0[/tex]  ( which turns to) [tex]x^2 - 4x - 3=0[/tex]

a=1 or x, b=-4, c=-3

Step 2: Use quadratic formula with a=1, b=-4, c=-3.

[tex]x= - (-4) + or - \sqrt{-4}x^{2} -4(1)(-3) / 2(1)[/tex]

which turns to: x= 4 + or - √28 divided by 2

the final answer should be [tex]x= 2 + \sqrt{7}\\ or \\ x= 2 - \sqrt{7}[/tex]

Find the missing segment in the image below

Answers

Answer:

If there are two line which is parallel in a triangle the triangle has a ratio

Step-by-step explanation:

So we can see one side has 6cm and 4cm length. and other side has 20cm in totally. But we know that the small line divided the side with 6/4 ratio and we can say ?=12 and other is 8

Answer:

Step-by-step explanation:

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