The graph of $y = f(x)$ is symmetric across the line $x = 5$. The graph also passes through the point $(8,-7).$ Find another point that must lie on the graph of $y = f(x).$

Answers

Answer 1

Because we know one point and an axis of symmetry, we know that the point (2, -7) must lie on the graph.

Which other point must lie on the graph?

If a function has a line of symmetry at x = x₀, then we know that:

f(x₀ + x) = f(x₀ - x).

So we have symmetry around that line.

Then, if the line of symmetry is at x = 5 and we know that:

f(8) = f(5 + 3) = -7

We also must have:

f(2) = f(5 - 3) = -7

Then the point (2, - 7) must be on the graph.

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Related Questions

Decrease £19064.67 by 9.5%

Answers

Answer:

£17,253.53

Step-by-step explanation:

9.5% of 19,064.67 is 1,811.14 (rounded to the nearest hundredth.)

Subtract 1,811.14 from 19,064.67, and this will give you 17,253.53. This is a 9.5% decrease.

very easy math do you know whats the answer?

Answers

3 is less than w , 7 is greater than or equal to w

[tex]3 < w \\ 7 \geqslant w[/tex]

Answer:

3 < w = 7 ≥ w

Step-by-step explanation:

Less than= "<"

Greater than or equal to = ≥

The price of a car has been reduced from $14,500 to $10,730. What is the percentage decrease of the price of the car?

Answers

I will clarify you,
Given:-
Soln:-
Cost price of car(cp)=$14,500$
Selling price of car(sp)=$10,730
Loss amount(L) =?
Now,
we know that,
Loss amount(L)= $14500-$10730
= $3770
Also,
Loss percentage(L%)= loss*100/cp
=3770*100/14500
=26%
.•. The decrease percentage of the price of the car is 26%



Hope it helped you….

pls help ill give a hundred points. select the correct answer from the drop down menu A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)

Answers

Question ↷

A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)

Answer↷

(5,-2)

Solution ↷

we know that,

the midpoint of the diagonals of a rectangle bisect each other,

so,

MP of AC = MP of BD

[tex] \huge \rightarrow \frac{x + 1}{2},\frac{y+ 3}{2} = \frac{5 + 1}{2},\frac{3 - 2}{2} \\ [/tex]

[tex] \huge \rightarrow \: x = 5 \: \\ \huge \rightarrow \: y = - 2[/tex]

Answer:

(5,-2)

Step-by-step explanation:

Cause me smart

The correlation between two scores X and Y equals 0.75. If both scores were converted to Z-scores, then the correlation between the z-scores
for X and z-scores for Y would be
-0.75
0.25
-0.25
0.0
0.75

Answers

Answer:

  (e)  0.75

Step-by-step explanation:

The correlation coefficient is not affected by translation or scaling of scores. Converting them from "raw scores" to z-scores does not affect their correlation.

The correlation coefficient of the z-scores is 0.75.

A spinner is divided into 8 identical sectors and labeled 1 through 8.

How many spins are expected for a multiple of 3 to be spun 6 times?

Select from the drop-down menu to correctly complete the sentence.

The spinner is expected to have to spin approximately
Choose...
times for a multiple of 3 to be spun 6 times.


12
16
24
48

Answers

Answer:

The answer is 12

Step-by-step explanation:

1-8(6)

The multiples of 3 would be 3 and 6.

3 and 6 are found 12 times within those 6 spins

Option 12 is the correct answer.

What is permutation?

The permutation refers to the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

For the given situation,

The spinner has 8 identical sectors {1,2,3,4,5,6,7,8}.

The multiples of three from the given sectors are 3 and 6.

Multiples of 3 in the sector = 2

The spinner is expected to have to spin the multiples of 3 to be spun 6 times = [tex]2[/tex] × [tex]6[/tex]

⇒ [tex]12[/tex]

Hence we can conclude that option 12 is the correct answer.

Learn more about permutation here

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Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.

Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.
If a third plane could be drawn which contains both lines a and b, then

lines a and b must be parallel.
lines a and b cannot be parallel.
lines a and b must be skew.
lines a and b must be perpendicular.

Answers

Answer:

lines a and b must be parallel

Step-by-step explanation:

if lines a and b are parallel in plane r and q, then the lines must always be parallel.

Answer:

A

Step-by-step explanation:

on e2020

Chloe has a part-time job at an ice skating rink selling hot cocoa. She decided to plot
the number of hot cocoas she sold relative to the day's high temperature and then
draw the line of best fit. What does the line's y-intercept represent?

Answers

Answer: a prediction of the number of hot cocoas sold when the temperature is 0F

Step-by-step explanation: i did it on delta math

The line's y-intercept represent ''Number of hot cocoas sold''.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Chloe has a part-time job at an ice skating rink selling hot cocoa.

She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.

Now,

Since, She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.

Hence, By the graph we have;

The line's x - intercept represent ''Temperature''.

And, The line's y-intercept represent ''Number of hot cocoas sold''.

Thus, The line's y-intercept represent ''Number of hot cocoas sold''.

Learn more about the mathematical expression visit:

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The cylinder shown has a volume of 733 cubic inches.
a. What is the radius of the​ cylinder?

The radius of the cylinder is ?

(Round to the nearest tenth if needed)

Answers

Answer:

Your answer is 4.72

Use the formula:V=πr2h

the figure shows a solid cube with dimensions 24 cm by 15 CM by 16 cm. A cylinder with a base radius of 4 cm and height of 7 cm is removed from the cuboid. find the area that will be covered in paint? (surface area)

Answers

Answer:

=2,133 3/7cm^2

Step-by-step explanation:

sides

15x16=240

240x2

=480cm^2

24×16=384

384×2= 768cm^2

768+480

a=1248cm^2

24x15=360cm^2

22/7x4x4

=50 2/7cm^2

360- 50 2/7

=354 5/7cm^2

(354 5/7)2

b=709 3/7cm^2

22/7x8x7

=22x8

c=176cm^2

a+b+c

1248+709 3/7+ 176

=2,133 3/7cm^2

what is 43-3y=16 find the unknown?

Answers

Answer:

9

Step-by-step explanation:

We have to move -3y to by itself so we move 43 to the other side, when we do this 43  becomes negitive.

-3y = 16 - 43

-3y = -27

Now we divide -27 by -3

y = -27/-3

y = 9

Answer:-

[tex]\rightarrow\sf{y \:=\: 9}[/tex]

Solution:-

[tex]\rightarrow\sf{43 - 3y\: = \:16}[/tex]

[tex]\rightarrow\sf{-3y\: = \:16-43}[/tex]

[tex]\rightarrow\sf{-3y\: = \:-27}[/tex]

[tex]\rightarrow\sf{3y \:= \:27}[/tex]

[tex]\rightarrow\sf{y\: = \:\frac{27}{3}}[/tex]

[tex]\rightarrow\sf{y \:= \:9}[/tex]

Therefore, value of unknown y = 9.

_________________________________

Hope it helps you:)

help me please i need help

Answers

Yes they intersect at one point

Can somebody please help me? I have dyscaluca and don't understand this

Answers

Answer:

man

Step-by-step explanation:

im sorry...you'll get it soon i swear

The table shows the speeds of the four fastest drivers in a car race.
Driver
Speed (miles per hour)
Marco
224.362
Finn
224.136
Will
224.48
Liz
224.392
Did Marco win this week's race? Use words and numbers to justify your answer.
Answer:
14

Answers

Marco only got 2nd place

Step-by-step explanation:

What is the average rate of change for the table and graph below over the interval [0,3]?

Answers

Answer:

-2

Step-by-step explanation:

The average rate of change is the slope using the points (0, 10) and (3, 4).  The slope is found using the formula [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{4-10}{3-0}= \frac{-6}{3}=-2[/tex]

4) Aníka grows vegetables and sells them at a farm stand. She gives a discount to local restaurants.

The table shows the restaurant's price,p. Of buying vegetables with a regular price of r dollars.

Regular price in dollars (r)

40

45

50

55

Restaurant's price in dollars (p)

32

37

42

47

• Write an equation that represents the relationship.

С



р

8

Answers

Answer:

p = r-8

Step-by-step explanation:

40-8=32
45-8=37
50-8=42
47-8=47
each step goes down by the same amount, so anika gives an 8 dollar discount to the local restaurants

a rectangle has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the length, in feet, of the mat.
Then find the area, in square feet, of the mat.

Answers

Concept :-

We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.

Given Information :-

A rectangular mat with,

Perimeter = 36 ft. Length = twice the width

To Find :-

The dimensions of the matArea of the mat

Formula Used :-

[tex] \diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\ [/tex]

Solution :-

Let the breadth of the mat be x, therefore,

Length = 2x

Now, according to the question,

[tex] \sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\ [/tex]

Thus,

Length = 2x = 2 x 6 = 12 ft. Breadth = x = 6 ft.

Now, we have to find out the area of the mat, thus,

[tex] \sf \hookrightarrow Area=6 \times 12 \\ \\ \\\sf \hookrightarrow Area=72 \: sq. ~ft. \\ \\ [/tex]

Thus, the area of the mat is 72 sq. ft.

[tex]\underline {\rule{221pt}{2.5pt}} \\ \\ [/tex]

Answer:

72 sq. feet

Step-by-step explanation

Since the perimeter is 36 feet and the length is 2w, you have to do the guess and check method.

I already did the guess and check method. So, here's how it became:

length =12

width=6

because 6x2=12 or 12 divide 2=6.

12 + 6 + 12 + 6.

12+6= 18. 12+6=18. 18+18=36 feet.

To find the area of a rectangle, you have to do L times W.

Which means 12x6.

12x6=72 sq. feet.

I hope this helps!!!

i need help this is really hard i still dont understand plss help

Answers

Answer:

  (b)  64 sq. in.

Step-by-step explanation:

The shaded area is the difference between the overall area and the areas of the cutout corners.

The overall area is 10 in by 10 in, so is ...

  A = s² = (10 in)² = 100 in²

The area of the cutout at each of the four corners is ...

  A = s² = (3 in)² = 9 in²

So, the total area of the four cutouts is ...

  cutout area = 4 × 9 in² = 36 in²

The remaining area is then ...

  100 in² -36 in² = 64 in²

What is the slope of the line that passes through the points (−2,−4) and)(3,−9)? Write your answer in simplest form.

Answers

Answer:

The slope is -1

Step-by-step explanation:

Formula for finding slope: [tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1}[/tex]

we got the points:

(−2,−4) and)(3,−9)

let's plug them in.

[-9-(-4)] / [3-(-2)] =

-5 / 5 = -1

(2x-7)-(4x^2+6x-3)+(x^2+4)

Answers

Answer:

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

Step-by-step explanation:

Simplify:

[tex]\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)[/tex]

[tex]=2x-7-\left(4x^2+6x-3\right)+x^2+4[/tex]

Group same factor:

[tex]=-\left(4x^2+6x-3\right)+x^2+2x-7+4[/tex]

Add :

[tex]=-\left(4x^2+6x-3\right)+x^2+2x-3[/tex]

Apply the distributive law: -(a+b) = -a - b

[tex]-\left(4x^2+6x-3\right)=-4x^2-6x+3[/tex]

[tex]=-4x^2-6x+3+x^2+2x-3[/tex]

Group same factor:

[tex]=-4x^2+x^2-6x+2x+3-3[/tex]

Subtract:

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

Add:

[tex]=-3x^2-6x+2x[/tex]

Group same factor:

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

Hence answer = [tex]-3x^2-4x[/tex]

~lenvy~

can someone explain this to me thank u :)

Answers

Answer:

1/4

Step-by-step explanation:

It is really weird that this answer is not on there but here is my explanation.

We can consider this question in two different ways.

First, we could list the possible outcomes.

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

In total 8 possibilities, 2 of which are either all heads or all tails. So the probability is 2/8 which is 1/4.

Alternatively, we could look at each of the three independent events in turn.

We toss the first coin. We don’t mind whether it lands head or tail, but we need to note the result. The probability of getting any result is 1.

We toss the second coin and there is a probability of 1/2 that the result matches the first toss.

We now toss the third coin and again there is a probability of 1/2 that the result matches the first toss.

So the probability of getting all heads or all tails is the probability of getting any result from the first toss (1) multiplied by the probability of a matching result for the second toss (1/2) multiplied by the probability of a matching result for the third toss (1/2).

So that’s 1 * (1/2) * (1/2), which is 1/4.

A flower pot is approximately in the shape off a cylinder. The diameter is 10 inches and the height is 6 inches. Find the surface area off the flower pot round to the nearest inch

Answers

The surface area of the cylindrical flower pot to the nearest inch is equal to [tex]346\;in^2[/tex]

Given the following data:

Diameter = 10 inches.

Height = 6 inches.

Radius = [tex]\frac{diameter}{2} =\frac{10}{2}[/tex] = 5 inches.

How to calculate surface area.

Mathematically, the surface area (SA) of a cylinder is given by this formula:

[tex]S.A = 2\pi rh + 2\pi r^2[/tex]

Where:

h is the height.r is the radius.

Substituting the given parameters into the formula, we have;

[tex]S.A = 2\pi (5)(6) + 2\pi (5)^2\\\\S.A =188.52+157.1 \\\\S.A = 345.62\\\\S.A=346\;in^2[/tex]

Read more on surface area here: brainly.com/question/21367171

The diameter of a circle is 30 ft. Find its area to the nearest whole number.

Answers

Answer:

[tex]\displaystyle 707\:ft.^2[/tex]

Step-by-step explanation:

Split the diametre in half before proceeding:

[tex]\displaystyle \pi{r}^2 = A \\ \\ 15^2\pi = A \hookrightarrow 225\pi = A \hookrightarrow 706,85834706... = A \\ \\ \boxed{707 \approx A}[/tex]

I am joyous to assist you at any time.

Are my answers correct?

Answers

Answer:

Yes they are both correct.

Step-by-step explanation:

yes they are both correct.

Martin has a pencil case which contains 4 blue pens and 3 green pens. Martin picks a pen at random from the pencil case. He notes its colour, and then replaces it. He does this two more times. Work out the probability that when Martin takes three pens, exactly two are the same colour. (3 marks)

Answers

Answer: How do you not understand this?

I understand it perfectly.

Step-by-step explanation:

The  probability that when Martin takes three pens, exactly two are the same color is 26.53%.

Probability

Given:

Blue pens=4

Green pens=3

Hence:

Probability=4³+3³÷(4+3)³

Probability=64+27/343

Probability=91/343

Probability=0.2653×100

Probability=25.53%

Therefore the  probability that when Martin takes three pens, exactly two are the same color is 26.53%.

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Name a value for x that will make the statement true.

x<-4

Answers

Answer:

-5

Step-by-step explanation:

-5 is less than -4, and -4 is greater than -5.

Negative numbers become smaller to the left on the number scale.

There are infinite possible answers to this. :)

Answer:

-5

Step-by-step explanation:

-5 is less than -4 and -4 is bigger than -5

Find the first three terms the described arithmetic series:

n=8

an= 36

a1=-6

Sn=120

Answers

Answer should be 1,3,5

Find x y and z.


please give answer as fast as possible to get marked BRAINLIEST ​

Answers

Answer:

X = 64

Y = 18

Z = 98

Step-by-step explanation:

Angles on a straight line always add up to 180 Degrees

Vertical Opposite Angles are equal to each other

X = 64

Y = 18

Z = 180 - 64 - 18 = 98

stephen had 4 cupcakes. He ate 3/4 of one cupcake. How many does he have now?

Answers

Answer:

He has 3.25 ([tex]3\frac{1}{4}[/tex]) cupcakes left

Step-by-step explanation:

Stephen starts with 4 cupcakes

If he eats [tex]\frac{3}{4}[/tex] of 1 cupcake, he will have [tex]\frac{1}{4}[/tex] of said cupcake left

[tex]1-\frac{3}{4} =\frac{1}{4}[/tex]

Since he has 3 other cupcakes, we will add the remaining [tex]\frac{1}{4}[/tex] of the other cupcake to the total.

[tex]3+\frac{1}{4} =3\frac{1}{4}[/tex]

Hope this helped!

A ball is placed in a machine that throws the ball up in the air. The table represents some points on a graph of a function that models the ball’s distance from the ground with respect to the time since the ball was thrown. What is the range for this situation?

Answers

By analyzing the table we conclude that the range is the set R : [0, 7.66] so the correct option is the last one.

What is the range in the situation?

For a relation y = f(x), we define the range as the possible values of y.

In this case, y represents the height that the ball takes, in the table, we can see that it starts at 0, then in reaches a maximum value of 7.66, and then it decreases again until it reaches the zero again when the ball returns to the ground.

Then y can take all the values between 0 and 7.66, meaning that the range is:

R : [0, 7.66]

Then the correct option is the last one.

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