Which transformation reflects f(x)=(x-1)² over the y-axis?

A) f'(x) = 0.3((x-1)²+1)

B) f'(x) = -3((x-1)²+1)

C) f'(x) = (-4x-1)²+1

D) f'(x) = (0.1x-1)²+1​

Answer:

a. is 2/21 hours to complete one task

b. is 10 1/2 tasks in one hour

Robot takes 2/21 hour to complete the task.

In one hour, robot complete 21/2 task.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time taken to complete 7 tasks = 2/3 hours.

To find the time taken to complete one task and tasks that completed in one hour,

Use ratio method,

7 tasks take = 2/3 hours

1 task takes = 2/(3 x 7) = 2 / 21 hours.

In 2/3 hours = 7 tasks completed,

1 hour = 21/2 tasks.

In one hour, 21/2 tasks can be completed.

To know more about Ratio on:

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Answer:

16

Step-by-step explanation:

192/12=16

hope this helps :3

if it did pls mark brainliest

Answer:16

192/12 equals 16

Answer: $50, The account will have $50 in interest after 2 years.

Step-by-step explanation:

2.5% / 100 = 0.025

$1,000 * .025 = 25

25 * 2 = 50

Answer:

[tex]b=\dfrac{2A}{h}[/tex]

Step-by-step explanation:

The formula for the area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh[/tex] ...(1)

Where b is the length of the base and h is the height.

We need to find the value of b from the above formula.

Cross multiplying equation (1) we get :

[tex]2A=bh[/tex]

Now dividing both sides by h. So,

[tex]\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}[/tex]

So, the correct option is (D) i.e. [tex]\dfrac{2A}{h}[/tex].

Answer:

same side interior for 2 and 6 i think

Answer:

-157

Step-by-step explanation:

Answer:  -162

Hope this helps you

Step-by-step explanation:

subtract and add

Answer:

the order in which the ratio is drawn should be the same as listed.

Explanation:

What this means is that since a ratio compares the sizes of two numbers (eg 4:2 or 4 ratios 2 or [tex]\frac{4}{2}[/tex]), it would be wrong to change the order of a ratio when drawn in a diagram.

For example,  changing the order to (2:4 or 2 ratios 4), which then  because [tex]\frac{2}{4}[/tex] not [tex]\frac{4}{2}[/tex]. Hence, it is important to remember that diagram of the ratio of two or more quantities should be the same as listed.

Answer:

0.6 + 0.08

Step-by-step explanation:

Answer:

Vertices A B y C

A ( 2 , 3 )    B ( -1 , 1 )  C ( 3, 1 )

Step-by-step explanation:

We have to solve a two-equation system, by pair of equations as follows

equation (1)   2x - 3y + 5 = 0

equation (2)  2x + y -7    = 0

Solving this system we find let´s say vertex A

0x - 4y +12 = 0      y = 3

Then x ?

2x - 3y + 5 = 0

2x - 9 + 5 = 0     ⇒ 2x = 4     x = 2

Then vertex A ( 2 , 3 )

From equation (1) and (3)

2x - 3y + 5 = 0

2x + 5y - 3 = 0

Agan subtracting (1) - (2)

0x -8y + 8 = 0

y = 1    and      

2x + 5y = 3

2x + 5 = 3

2x = -2

x = -1

Vertex B ( -1 , 1 )

Finally from equation (2) and (3) we get the third vertex C

2x + y - 7 = 0

2x + 5y - 3 = 0

0x -4y -4 = 0

y = 1

2x + y = 7

2x + 1 = 7

2x = 6

x = 3

C ( 3 , 1 )

Answer:

hi

Step-by-step explanation:

Answer:

x = y/ 4  + 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps :)

Answer:

11 words

Step-by-step explanation:

The question is poorly formatted.

The right relationship between M and t is given as:

M = −0.001t³ + 0.1t²

Required

Solve for M when t = 10

To do this, substitute 10 for t

So,we have:

M = −0.001t³ + 0.1t²

M = -0.001 * 10³ + 0.1 * 10²

M = -0.001 * 1000 + 0.1 *100

M = 1 + 10

M = 11

11 words in 10 minutes

Answer:

0.769296

Step-by-step explanation:

The desired probability can be calculated from binomial probability distribution because there are 21 independent trials and probability of success(saving nothing for retirement) 0.2 remains same for each trial. Here, n=21 and p=0.20. We want to compute P(X>5).

The pdf of binomial distribution is

P(X=x)=nCx(p)^x(1-p)^(n-x)

P(X>5)=1-P(X≤5)

P(X≤5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)

P(X=0)=21C0*(0.2)^0*(1-0.2)^(21-0)=0.009223

P(X=1)=21C1*(0.2)^1*(1-0.2)^(21-1)=0.048423

P(X=2)=21C2*(0.2)^2*(1-0.2)^(21-2)=0.121057

P(X=3)=21C3*(0.2)^3*(1-0.2)^(21-3)=0.191673

P(X=4)=21C4*(0.2)^4*(1-0.2)^(21-4)=0.215632

P(X=5)=21C5*(0.2)^5*(1-0.2)^(21-5)=0.183287

P(X≤5)=0.009223+0.048423+0.121057+0.191673+0.215632+0.183287

P(X≤5)=0.769296

P(X≤5) can also be computed by using excel function BINOM.DIST(5,21,0.2,TRUE) which results in

P(X≤5)=0.769296.

The probability that more than five of the selected adults save nothing for retirement is; P(X > 5) = 0.239928

We are told that 20% of adults in the US save nothing for retirement. Thus;

p = 20% = 0.2

21 adults are selected randomly. Thus;

n = 21

Probability that more than five of the selected adults save for retirement is gotten from formula for binomial probability distribution which is;

P(X = x) = nCx × p^(x) × (1 - p)^(n - x)

Thus;

P(X > 5) = 1 - P(X ≤ 5)

Where;

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X = 0) = 21C0 × 0.2^(0) × (1 - 0.2)^(21 - 0) =

0.009223

Using online binomial probability calculator, we can find the remaining as;

P(X = 1) = 0.048423

P(X = 2) = 0.121057

P(X = 3) = 0.191673

P(X = 4) = 0.215632

P(X = 5) = 0.183287

Thus;

P(X ≤ 5) = 0.048423 + 0.121057 + 0.191673 + 0.215632 + 0.183287

P(X ≤ 5) = 0.760072

Thus;

P(X > 5) = 1 - 0.760072

P(X > 5) = 0.239928

Read more about binomial probability distribution at; https://brainly.com/question/24239758

Answer: 66ft

Step-by-step explanation:

A=1/2bh

462=1/2(14)(h)

462=7h

66=h

Answer:

D.) x²-10x+25 sq. units

Step-by-step explanation:

The question is not properly written. The question should have been:

If each side of a square is (x-5) units, which expression can be used to represent the area of the square.

Area of a square = L² where:

L is the length of the square

Given

L = x-5

Required

Area of the square

Substitute the given function into the formula to get the required as shown:

Area of the square = (x-5)²

Expand

A(x) = (x-5)(x-5)

A(x) = x(x)-5x-5x-5(-5)

A(x) = x²-10x-25

Hence the area of the square is (x²-10x+25)sq. units. Option D is correct.

Answer:

AB, BC, AC

Step-by-step explanation:

Hopefully I helped!! :)

Answer:

-2.4 meters

Step-by-step explanation:

-86 + 83.6 = -2.4

false false false false false

Answer:

no the first on is true and the last one is false

Step-by-step explanation:

Answer:

4 in one set

Step-by-step explanation:

So if 24%6= 4

Answer:

1) graph b

2)appears to decrease more

Step-by-step explanation:

Answer:

D: A rhombus is always a parallelogram

Step-by-step explanation:

A rhombus is a quadrilateral, and it is also a parallelogram. However, a parallelogram is not always a rhombus.

Answer:

A rhombus is always a parallelogram

Step-by-step explanation:

it's lines parallel to the other side

Answer: 0.2254

Step-by-step explanation:

Let E= Event of getting of female lives in a dorm.

F = Event of getting of female lives in a 'Other'.

From the table , n(E) = 276  and n(F) = 99

and n(E∩F) = 0  [E and F are Mutually exclusive]

Now, n(E∪F)=  n(E) + n(F) - n(E∩F)

= 276+99-0

= 375

also, n(S) =1664       (Sample size)

Required probability : [tex]P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}[/tex]

[tex]=\dfrac{375}{1664}\approx0.2254[/tex]

Hence, the  probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254

Answer:

m= -90 is your answer

Step-by-step explanation:

For future reference, you should try using Symbolab, it works really well and I use it ALL the time!

Answer:

1). A. Add/subtract a quantity to/from only one side  

2) B. No

Step-by-step explanation:

Given equation A

5x-2+x = x-4

Given equation B

5x+x = x-4

We can see that the difference between equation A and B is the 2 that subtracted from the left hand sides of the equation A. All other functions and constants remains the same.

For us to be able to get equation B from A, we need to simply add 2 to the left hand side of equation A to cancel out the -2 that is there as shown:

From equation A:

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

Add 2 to the left hand side of the equation

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

Simplify

[tex]5x-2+2+x = x-4\\5x+0+x = x-4\\5x+x = x-4[/tex]

We can see that the resulting function gives the equation B

Hence the option B is correct i.e Add/subtract a quantity to/from only one side  

Let us find the solution to equation A and B

For equation A:

[tex]5x-2+x = x-4\\5x+x-2 = x-4\\6x-2 = x-4\\6x-x = -4+2\\5x = -2\\x = -2/5[/tex]

For equation B:

[tex]5x+x = x-4\\5x+x-x = 4\\6x-x = 4\\5x = 4\\x= 4/5[/tex]

Since we got different solution for x in both equation, hence both equation are not equivalent.

Answer:

Add/subtract the same quantity to/from both sides .... and yes

Step-by-step explanation:

got the answer from khan.

Answer: Its remainder is 1 when you divide 17 by 2.

In other words, 17/2 = 8 remainder 1.

The 8 is the quotient.

The reason why we know we get a remainder 1 is because the condition of "if n is an odd number" and here n = 17 is odd. So the first condition is met allowing us to use the full "if, then" statement given to us.

Answer:

180°

Step-by-step explanation:

Answer: -4 x 16, -48

Step-by-step explanation:

word phrase: -4 x 16

symplified = -48

product means multiply

Answer:

A, D and F are the answers because for the 1st question, 64.7 is the bigger number, for the second 65 is the biggest and for the last 65 is the largest number.

You need 6 cups red and 10 cups yellow.

Answer:

100

Step-by-step explanation: