Which function has an axis of symmetry of x = −2? f(x) = (x − 1)2 2 f(x) = (x 1)2 − 2 f(x) = (x − 2)2 − 1 f(x) = (x 2)2 − 1

Answers

Answer 1

The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.

All of these functions start from the same function, f(x) = x^2, which has an axis of symmetry of x = 0.

What is a quadratic function?

A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The first function has been shifted 1 unit to the right and 2 units up, which have an axis of symmetry at x = 1.

The second function has been shifted 1 unit to the left and 2 units down, which have an axis of symmetry at x = -1.

The third function has been shifted 2 units to the right and 1 unit down, which have an axis of symmetry at x = 2.

The fourth function has been shifted 2 units to the left and 1 unit down, which have an axis of symmetry at x = -2.

As you can see, the last function has been shifted 2 units to the left, which has an axis of symmetry at x = -2.

Thus, The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.

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Answer 2

Answer:

D. f(x) = (x + 2)2 − 1

Step-by-step explanation:

took the test on edge :)


Related Questions

Please help me solve

Answers

a) 66%

b) 42%

hope it really helps..!!!

Which sets of measurements could be the interior measures of a triangle?
(answer choices)
A. 10*, 10*, 160*
B. 15*, 75*,90*
C. 20*, 80*, 100*
D 35*, 35* 105*
E 60*, 60*, 60*

Answers

Answer:

A, B, E

Step-by-step explanation:

the 3 angles of a triangle must add up to 180

A. 10 + 10 + 160 = 180

B. 15 + 75 + 90 = 180

C. 20 + 80 + 100 = 200

D. 35 + 35 + 105 = 175

E. 60 + 60 + 60 = 180

Can someone help me with this problem?

Answers

Answer:

4(17+5)

Step-by-step explanation:

GCF is 4

68/4 = 17

20/4 = 5

so,

4(17+5)

A sporting goods store specializes in mountain bikes. Each week, two dozen mountain bikes are randomly selected from the store's warehouse to undergo a performance test.


What is the population for the performance test?


A.

The population is all of the mountain bikes in the store's warehouse.

B.

The population is the salespersons at the store.

C.

The population is all of the merchandise sold by the store.

D.

The population is the mountain bikes that are not randomly selected

Answers

Answer:

A

Step-by-step explanation:

A population is a set of similar items or events which is of interest for some question or experiment.

The fish population of a receding pond is 8,000. The population is
expected to decrease at a rate of 8% each year.
Which function represents the population of the fish in the pond after x
years?
f(x) = 8,000(0.08)
f(0) = 92(1.08)
f(2) = 92(0.8)
Of(x) = 8,000(0.92)*
f(3) = 8,000(0.2)
f(x) = 8,000(1.08)*

Answers

Answer:

f(x)=8,000(0.08)

Step-by-step explanation:

I am not 100% sertin but 8% = 0.08 so to find the percentage you would just multiple that by the given 8,000.

A group of people walk 62 in week 1 in week 2 they walked 14 miles less than during week 1 how many miles did the group walk in week 2 weeks

Answers

the answer to the problem is 48

The formula t = 2 pi startroot startfraction l over 32 endfraction endroot relates the time, t, in seconds for a pendulum with the length, l, in feet, to make one full swing back and forth. what is the length of a pendulum that makes one full swing in 2.2 seconds? use 3.14 for pi. 2 feet 4 feet 11 feet 19 feet

Answers

The length of this pendulum that makes one full swing is 3.93 meters.

How to calculate the length of the pendulum?

Mathematically, the time taken by this pendulum is given by this formula:

[tex]\rm T=2\pi \sqrt{\dfrac{L}{32}}[/tex]

Making L the subject of the formula, we have:

[tex]\rm T=2\pi \sqrt{\dfrac{L}{32}}\\\\32T^2=4\pi ^2L\\\\L=\dfrac{32T^2}{4\pi ^2}\\\\[/tex]

Substitute all the values in the formula

[tex]\rm L=\dfrac{32T^2}{4\pi ^2}\\\\ L = \dfrac{32 \times 2.2^2}{4 \times 3.14 ^2\\}\\\\ L =\dfrac{154.88}{39.43}\\\\L=3.93 \ m[/tex]

Hence, the length of this pendulum that makes one full swing is 3.93 meters.

Read more about pendulum here:

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Answer:

Basically if your coming from edge its 4 ft so B

Step-by-step explanation:

Ryder shot a model rocket over an area that consists of two grassy areas, shown in green, and an area with no grass, shown in white. a square is split into 3 sections. the bottom section is 5 acres, the middle section is 30 acres, and the top section is 15 acres. the top and bottom sections are shaded. what is the probability that his model rocket has landed in a grassy area? 0.2 0.3 0.4 0.6

Answers

The probability that his model rocket has landed in a grassy area will be equal to 0.4.

What is probability?

The extent to which an event is likely to occur, is measured by the ratio of the favorable cases to the whole number of cases possible.

The total area of the land will be = 5+15+30=50 acres

Now the total grassy area will be =15+5=20 Acres

Now the probability of the model rocket to land on the grassy land will be:

[tex]P=\dfrac{Grassy\ area}{Total\ area}[/tex]

[tex]P=\dfrac{20}{50}=0.4[/tex]

Hence the probability that his model rocket has landed in a grassy area will be equal to 0.4.

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Answer:

C.10.0%

Step-by-step explanation:

Edge 2023!

Please help ASAP I’ll give brainliest

Answers

Answer:

D. y-9 = 2(x-1) (This is wrong dont use lol)

Answer:

C is your correct answer.

Step-by-step explanation:

Point Slope Formula:

y - y1 = m(x -x1)

Your Coordinate Points: (-2, 3) and (1,9)

The first "y" is 3 so the y1 should be 3.

The First "x" is -2 which is what x1 should be.

**But -x1 and -2 have to be + because negative and negative should cancel out and become an addition problem.

Point Slope Form Right Now:

y - 3 = m ( x + 2)

We're missing the "m" which is the slope.

Here's the specific formula:

y2 - y1/ x2 - x1

The "y2" is 9

The "y1" is 3

The "x2" is 1

The "x1" is -2

Now, do 9-3 over 1- (-2)

9-3 = 6 and 1-(-2) = 3

6/3 should be the answer for slope but it needs to be simplified

So, do 6 divided by 3 which is 2.

2 is your slope.

Plug it in and finalize!!

y - 3 = 2 ( x + 2)    

**The answer is C but the writing of the answer choice is wrong.

Solve each equation. Identify the solutions as rational or irrational numbers.

Answers

[tex]\textbf{a)}\\\\~~~~~~~x(3x-4)=5\\\\\implies 3x^2 -4x = 5\\\\\implies 3x^2 -4x=5\\\\\implies x^2 - \dfrac 43 x = \dfrac 53\\ \\\implies x^2 - 2\cdot \dfrac 23 \cdot x + \left( \dfrac 23 \right)^2 - \left( \dfrac 23 \right)^2 = \dfrac 53\\\\\implies \left(x-\dfrac 23 \right)^2 = \dfrac 53 + \dfrac 49\\\\\implies \left(x-\dfrac 23 \right)^2= \dfrac{19}{9}\\\\\implies x- \dfrac 23 = \pm\dfrac{\sqrt{19}}3\\\\\implies x=\dfrac 23 \pm\dfrac{\sqrt{19}}3\\\\[/tex]

[tex]\text{The solutions are irrational.}\\\\\\\textbf{b)}\\\\~~~~~~~(3x-2)^2 = \dfrac 14\\\\\implies 3x -2 = \pm \dfrac 12\\\\\implies 3x = 2\pm \dfrac 12\\\\\implies x = \dfrac 23 \pm \dfrac 16\\\\ \implies x = \dfrac 56 ,~~ x =\dfrac 12 \\ \\\text{The solutions are rational .}[/tex]

Which model and number line show the same fraction? Answer and explain why

Answers

D. The last graph is broke into 6 triangles and 3 of them are shaded in, representing 1/2. The number line is marked at 2/4 which can be simplified to 1/2. Therefore they are the same fraction.

How many cubes are in the prism (Its surface area and i'm confused)

Answers

Answer:

432 cubes

Step-by-step explanation:

(9)(8)(6)=432

Hope this helps

Answer:

  432

Step-by-step explanation:

The front face of the prism (green) is 6 cubes high and 8 cubes wide. So, the front layer of cubes is 6×8 = 48 cubes.

The figure shows you there are 9 layers like this making up the whole prism.

Then the volume of the prism is ...

  (9 layers) × (48 cubes/layer) = 9×48 cubes = 432 cubes

There are 432 cubes currently in the prism.

_____

Additional comment

The picture here does not ask for the surface area of the prism. The area would be the sum of the areas of each of the surfaces.

The three surfaces we can see (red, green, blue) have areas of 9×8 = 72, 6×8 = 48, and 6×9 = 54 square units, respectively. These areas total 174 square units, but represent only half of the total area.

The other half of the area is the same (each hidden face has the same area as its visible opposite). So, the total surface area of this prism is 2×174 = 348 square units. (1 unit = small cube edge length).

Find the value of the missing variable(s)?

Answers

Answer:

  x = 163°

Step-by-step explanation:

The sum of interior angles of a pentagon is 540°. The missing value will bring the total to that. It can be found by subtracting the known values from 540°.

__

  x = 540° -85° -103° -121° -68°

  x = 163°

_____

Additional comment

The sum of interior angles of a simple n-gon is found from the formula ...

  angle sum = 180°·(n -2)

For n = 5, this is 180°×3 = 540°.

The actual length of a machine is 12.25cm. The measured length is 12.2cm. Round the amswer to part(b) to the nearest hundreth of a percent. Find the absolute error. Find the percent error.

Answers

Answer:

ABS Error: 0.05 cm

PERC Error: 0.40%

Step-by-step explanation:

Absolute error: Absolute difference between the actual dimension, and its measure. Measured in the same dimension as what we're measuring

(Remember the absolute)

ABS Err: | 12.25 cm - 12.2 cm | = 0.05cm

Percent error: Percentual difference between the actual dimension and its measure. Always measured in Percents

PERC Err: | (12.25 - 12.20) | / 12.25 = 0.0040 ≈ 0.40%

A cylinder has a base radius of 10in and a height of 20in. What is its volume in cubic in, to the nearest tenths place?

Answers

Answer:

6283.2

Step-by-step explanation:

[tex]V=\pi r^{2} h[/tex]

=[tex]=\pi *10^{2} *20[/tex]

=6283.18531

=6283.2(correct to the tenths place)

Answer:

6,283.2 in^3

Step-by-step explanation:

The volume formula for a cylinder is V = (pi)r^2*h

and in this case r = 10 in, h = 20 in

so the volume of this cylinder is

V = 3.14159(10 in)^2*(20 in) = 6,283.2 in^3

can you help me know how to get the answer i don’t need the answers just how to solve the problem

Answers

Answer:

I guess 21

Step-by-step explanation:

Because if you find the other side by trigonometric theorem-

[tex]x^2 = c^2 - a^2\\x^2 = 12^2 -8^2\\x^2= 144 - 64\\x^2=80\\\sqrt{x} =\sqrt{80}\\ x=8.94[/tex]

which is almost 9

9 is a possible value

they ask you to find the value which doesn't fit in the triangle

so the answer is 21 which doesn't make any sence

Hopefully, the answer would be work    

A hair stylist charges $25.00 for a hair cut, plus an 8% sales tax rate. How much change will you recieve if you pay $30.00?

Answers

Answer:

$3

Step-by-step explanation:

8% of $25 is $2. $25 + $2 is $27. $30 - $27 is $3.

help me please HeLp

i already tried 18.85 and 28.27
i don't know what it could be so i need heLP

Answers

Answer:

18.84

Step-by-step explanation:

C = 2pi × r

C = 2 × 3.14 × 3

C = 18.84

Answer:

It would be 18.84. There is no rounding

Step-by-step explanation:

C = 2[tex]\pi[/tex]r

so it would be

C = 2[tex]\pi[/tex]3

in exact form it would be

6[tex]\pi[/tex] but as a deciamal its

18.849555.....

it says no rounding so it would be 18.84

The graph below represents the proportional relationship between the weight of dog food, in pounds, and the price of dog food, in dollars.

How much money will 6lbs of dog food cost?

$8.75
$6.00
$5.50
$7.50

Answers

Answer:

The answer is 8.75<3

Answer:

the correct answer is 7.50

Step-by-step explanation:

because they are telling to measure how much will 6lbs will scost them in the chart when you look at six and go up to the line it lines up with 7.50

What is the value of n2 {m+r} if m=3, n=2, and r=4

Answers

Answer:

Answer: 28.

Substitute: 22 * 3 + 4 Calculate the sum or difference:22 * 7 Calculate the power:4 * 7Calculate the p.

Step-by-step explanation:

please all i need is one more brainliest

HELP FOR A BRAINLIESTTTTT

Answers

Step-by-step explanation:

solve for y pretty much just move the negative x and turn it into a positive x because from there now you have a solid variable solved and you can just plug into the y so 3x - 2 x - 3 that'll be your equation then just do what you would normally do for a distributive multi-step equation and then take the answer you get from that and plug it into your newly solved simple equation which would be y = x - 3 that's as far as I'm going to get you but I do hope this helps

Answer:

(6, 3 )

Step-by-step explanation:

3x - 2y = 12 → (1)

- x + y = - 3 → (2)

multiplying (2) by 2 and adding to (1) will eliminate y

- 2x + 2y = - 6 → (3)

add (1) and (3) term by term to eliminate y

x = 6

substitute x = 6 into either of the 2 equations and solve for y

substituting into (1)

3(6) - 2y = 12

18 - 2y = 12 ( subtract 18 from both sides )

- 2y = - 6 ( divide both sides by - 2 )

y = 3

solution is (6, 3 )

PLEASE HELP 70 POINTS & WILL GIVE BRAINLIEST Mayerlin volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 319 people went to The Youth Wing, 401 people went to Social Issues, and 398 went to Fiction and Literature.
On Sunday, the library had 1500 total visitors. Based on what Mayerlin had recorded on Saturday, about how many people should be expected to go to Fiction and Literature? Round your answer to the nearest whole number.

Answers

Answer:

413

Step-by-step explanation:

413 people should be expected to go to Fiction and Literature

Step-by-step explanation:

Proportion of people who went to Fictions and Literature on Saturday:

342 out of 467 + 433 + 343 = 1243

The proportion is:

342/1243 = 0.275

On Sunday:

Based on Saturday, so 0.275 out of 1500(number of visitors on Sunday).

0.275*1500 = 412.5

Rounding to the nearest whole number:

413 people should be expected to go to Fiction and Literature

Lucia is using energy at a rate of 210 kilocalories (kcal) per hour (h) ice skating. At what rate is Lucia using energy in calories per minute ( / min ) ?

Answers

Answer:

3500cal/min

Step-by-step explanation:

You have 210kcal/h. There are 1000cal in 1kcal, and 60 minutes in 1 hour:

[tex] \frac{210}{1} \frac{kcal}{hour} \times \frac{1000}{1} \frac{cal}{kcal} \times \frac{1}{60} \frac{hour}{minutes} [/tex]

The units kcal cancel and hours cancel, leaving cal per min:

[tex] \frac{210 \times 1000}{60} \frac{cal}{minute} = 3500 \frac{cal}{min} [/tex]

what is 3/4 of 4/9 kilogram?

Answers

Answer:

0.333333333kilograms

Step-by-Step explanation:

3 x 4 = 12

4 x 9 = 36

3/4 ÷ 4/9 = 12 ÷ 36 = 1/3 = 0.333333333 kilograms

helppppppp meeee plsssss​

Answers

[tex]\bold{ANSWER:}[/tex]

z = 50/3

[tex]\bold{EXPLANATIONS:}[/tex]

HELPPPPPPPPP PLEASE!!! :(

Answers

Answer:

x = 25

Step-by-step explanation:

Given:

∠A = ∠B    (Vertically opposite angles)∠A = (7x - 8)°∠B = (6x + 17)°

Since ∠A is equivalent to ∠B...

[tex]\implies (7x - 8)= (6x + 17)[/tex]

Open the parenthesis:

[tex]\implies 7x - 8= 6x + 17[/tex]

Add 8 both sides:

[tex]\implies 7x - 8 + 8= 6x + 17 + 8[/tex]

Simplify both sides:

[tex]\implies 7x = 6x + 25[/tex]

Subtract 6x both sides:

[tex]\implies 7x - 6x = 6x - 6x + 25[/tex]

Simplify both sides:

[tex]\implies x = 25[/tex]

Answer:

 x = 25

Step-by-step explanation:

Putting Both angels together:

Since,

m∠A = (7x - 8)°

m∠B = (6x + 17)°

Then,

(7x-8) = (6x+17)

Solving for x:

7x - 8 = 6x + 17

    + 8           +8

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

7x = 6x + 25

-6x   -6x    

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

x = 25

Hence Answer is 25

~Lenvy~

I need help to find the area of this problem.

Answers

Answer:

119 square yards

Step-by-step explanation:

assuming that the parallelograms height is 8 (11 - 3) we can find the area of the bottom

13 * 8 = 104

assuming that the rectangles length is 5 (13 - 8) we can find the area of the top

3 * 5 = 15

then add those

104 + 15 = 119

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 147, 21, 3, ... This is sequence and the is equal to​

Answers

Answer:

geometric sequence

Step-by-step explanation:

an arithmetic sequence has a common difference d between consecutive terms.

21 - 147 ≠ 3 - 21

Hence the sequence is not arithmetic

A geometric sequence has a common ratio r between consecutive terms

[tex]\frac{21}{147}[/tex] = [tex]\frac{1}{7}[/tex] and [tex]\frac{3}{21}[/tex] = [tex]\frac{1}{7}[/tex]

there is a common ratio thus the sequence is geometric

A group of campers were polled about whether they like swimming and whether they like playing baseball. the data from the survey is shown in the venn diagram. use the venn diagram to find the missing values in the frequency table. a circle labeled swimming 24 overlaps a circle labeled baseball 18. overlap is labeled 15. 4-column table with 3 rows. first column has no label with entries likes baseball, does not like baseball, total. second column is likes swimming with entries a, c, 39. third column is does not like swimming with entries b, 13, e. fourth column is labeled total with entries 33, d, 70. which values are correct? select three options. a = 15 b = 18 c = 23 d = 35 e = 31

Answers

The missing values a, b, c, d and e are included in the given two-way table. The correct values from the options are: a =15, b=18,e=31

How to form two-way table?

Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]

List them in title of the rows and left to the columns. There will be [tex]n \times k[/tex] table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of [tex]X_i[/tex] and [tex]Y_j[/tex] (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

For this case, the table given is:

[tex]\begin{array}{cccc}\rm &\rm \text{Likes swimming}&\rm \text{Doesn't like swimming}&\rm Senior\\\rm \text{Likes baseball}&a&b&33\\\rm \text{Doesn't likes baseball}&c&13&d\\\rm Total & 39& e& 70 \end{array}[/tex]

From this table, we can make 5 equations as:

[tex]a+b = 33\\a+c=39\\b+39=e\\33+d = 70\\39+e=70[/tex]

From the last two equations, we get the values of d and e as:

[tex]d = 70-33 = 37\\e = 70-39 = 31[/tex]

Putting this value of 'e' in last third equation, we get:

[tex]b + 13 = 31\\b = 31-13= 18[/tex]

From this, and first equation, we get:

[tex]a +18 = 33\\a=33-18=15[/tex]

And from this value of a, and second equation, we get:15+c = 39

[tex]c = 39-15 = 24[/tex]

Thus, the correct values are: [tex]a =15, b=18,e=31[/tex]

Learn more about two-way table here:

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Answer:

a,b,e

Step-by-step explanation:

Which fraction would you find marked on a ruler?

A. 1/8 inch

B. 1/10

C. Inch D. 1/5 inch

D. 1/9 inch

Answers

Answer:

1/8

Step-by-step explanation:

Generally, rulers, yardsticks and tape measures are marked in 16ths 8ths and quarter inches

Answer:

1/8

Step-by-step explanation:

that is the answer

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