Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form.

Answer:

[tex]k=\pm3[/tex]

Step-by-step explanation:

[...] if you can write the LHS as a perfect square, or if you can't spot a factorization of it right away, if and only if the discriminant [tex]\Delta = b^2-4ac[/tex] (or, if b is an even number, 1/4 of it) is zero.

I see it! I see it!

Stare at it for a while. First term is [tex]3(2x)^2[/tex], third term is [tex]3(1)^2[/tex], we are missing a double product, but we can play with k. For the LHS to be [tex]3(2x\pm1)^2 = 3(4x^2\pm4x+1) = 12x^2\pm12x+3[/tex] you just need [tex]4k= \pm12 \rightarrow k=\pm3[/tex].

I don't see it...

Then number crunching it is. Set the discriminant to 0, solve for k

[tex]\frac{\Delta}4 = 4k^2-12\cdot 3 =0 \rightarrow 4k^2=36 \\k^2 = 9 \rightarrow k=\pm3[/tex]

The actual check begins by considering 2 hypotheses. they're referred to as the null hypothesis and therefore the various hypothesis.

Answer:

Solution:

20/3 can be expressed as 20 ÷ 3

20 ÷ 3 = 6.66...

we would have a result of an endless quotient.

Answer:

336

Step-by-step explanation:

12×1×4×7=336

not sure just a try

Transformation involves changing the form of the function

The transformation that is not performed is (a) vertical shift

The function is given as:

[tex]\mathbf{y = cot(x)}[/tex]

From the complete question, the transformed function is:

[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]

On y = cot(x); start by translating the function 2 units left.

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x +2,y)}[/tex]

So, we have:

[tex]\mathbf{y = cot(x + 2)}[/tex]

Next, stretch the function horizontally by a factor of 1/5

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (\frac 15x,y)}[/tex]

So, we have:

[tex]\mathbf{y=cot[\frac 15(x+2)]}[/tex]

Lastly, stretch the function vertically by a factor of 3

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x,3y)}[/tex]

So, we have:

[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]

From the above transformations, we have:

Hence, the transformation that is not performed is (a) vertical shift

Read more about transformations at:

https://brainly.com/question/13801312

Answer:

vertical shift

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

son age be x

Aman age is 3x

ten years ago

son age x-10

aman age 3x -10

A.T.Q

5(x-10) = 3x -10

5x -50 = 3x - 10

2x = 40

x =20

3x=60

son present age =20

aman present age = 60

Answer:

D

Step-by-step explanation:

D is the only option where Tim has 23 or more dollars earned.

To show this I will solve each equation...

A) (-23)+9+9 = (-23)+18= -5

-5 < 0 so A doesn't work

B) (-23)+7+7+7 = (-23)+21= -2

-2 < 0 so B doesn't work

C) (-23)+12+9 = (-23)+21= -2

-2 < 0 so B doesn't work

D) (-23)+12+12 = (-23)+24= 1

1 > 0 so D does work!

* I am using 0 to compare each number with the result because Tim should have 0 or more dollars after paying his mom.

Hope this Helps!

Answer:

25/3

Step-by-step explanation:

5 x 10/6

=> 5 x 5/3

=> 25/3

Therefore, the value is 25/3.

Hoped this helped.

Answer:

25/3 is the value of 5 x 10/6

Step-by-step explanation:

5 x 10/6

5 x 5/3

= 25/3

Answer:

8y + 6x

Step-by-step explanation:

Combine like terms

   y + 3x +4y + x + 3y + 2x

=  (y + 4y + 3y) + ( 3x + x + 2x)

=    8y + 6x

Answer:

9.50

Step-by-step explanation:

needs to be 20 character

Answer: y = (28/4)x + 4

Step-by-step explanation:

We'll be using 20, 144 (1) and 24, 172 (2) for this

slope = y2 - y1 / x2 - x1

slope = 172 - 144 / 24 - 20

slope = 28/4

y = mx + b

y = (28/4)x + b

We can then reduce 20, 144 by 4, 28

20, 144

16, 116

12, 88

8, 60

4, 32

0, 4

The y-intercept is when x = 0, so its 4.

Plug that into y = mx + b

y = (28/4)x + 4

Answer:

B.

Step-by-step explanation:

Answer:

It doesnt have to be, you are making it. It's really just addition multiplication divison and subtraction in different ways

Step-by-step explanation:

Answer:

BECAUES IT IS

Step-by-step explanation:

I don´t know

Answer: x>3

Step-by-step explanation:

3x + 2 > X + 8

2x  > + 8 - 2

2x > 6

x > 3

Answer:

75.4 to 1 decimal place

If you want an explanation comment on the answer.

9514 1404 393

Answer:

  $612.86

Step-by-step explanation:

The discount multiplies the price by (1 -10%) = 0.90.

The tax multiplies the price by (1 +6%) = 1.06

Then the total price with delivery charge is ...

  $590×0.90×1.06 +50 = $612.86

Answer:

612.86

Step-by-step explanation:

10% is 59 590-59=531

562.86 after tax

612.86 after delivery charge

Answer:

12. 12.8 is the answer without rounding, 13 is the answer with rounding

story: you buy 4 apples for 3.2 cents each, since you cannot pay in less than a cent, you must give the seller 13 cents for the 4 apples

14. 12/7 is the answer without rounding, with rounding its 1

you have 3 1/7 of an apple, and your friend wants you to split it into 1 5/6 pieces, but you can't, so your friend is nice and only takes less than his part

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

y=x+4

y=2

2=x+4

-4+2=x

-2=x

x=-2

Answer:

x= -2

Step-by-step explanation:

Answer:

Answer:

x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}

Step-by-step explanation:

(x-50)^2 is x^2+2500-100x*.0048 is .0048x. 2500*0.0048 is 12, and -100*0.0048=-.48.

So, we have .0048x^2+12-.48x+6, which is

.0048x^2+18-.48x=10. USing the quadratic formula, we get

x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}

(Enter into symbolab.com to see theanswer)

Answer:

no solution.

Step-by-step explanation:

3x+7=14+3x

3x-3x=14-7

      0=7

0 is not equal to 7, hence making this equation to have no solution.

Answer: no solution

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

Answer:

draw a sketch graph for values x and y. but just make sure they r the same e.g if x is 2 y should also be 2. plot points wen y is equal to x. (3,3) (4,4) (5,5). a straight line

for part y=x +2. make any number x e.g let x be 3. therefore y=2+3. y=5. so the point is (3,5). continue with this procedure with about three points then plot on a graph. and it is meant to be a straight line. A TABLE CAN ALSO WORK BUT SHOW STEPS ON HOW YOU GOT THE POINTS

Answer:

I think it's 3.

Step-by-step explanation:

Sorry if it's wrong.

Answer: Hope it helps :)

Step-by-step explanation:

The essential thing to learn from this lesson is the translation of equations.  When f(x) = f'(x) + a, the graph of the equation is shifted up by a units.

When f(x) = f'(x + a), the graph of the equation is shifted left by a units.

Answer:

D IS THE CORRECT ANSWERRR

Step-by-step explanation:

IN DIAGRAM D

G = Q

I = R

H = S

SO, THEY ARE SIMILAR

Answer:

Step-by-step explanation: multiply each and then you choose which one is greater

which is George’s bedroom 15.4

The area of George's bedroom is the greatest with 15.4 sq meters.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the area of a rectangle is (length×width).

George’s bedroom 3.5 meters by 4.4 meters,

∴ The area of George's bedroom is (3.5×4.4) sq meters.

= 15.4 sq meters.

Steven’s bedroom 3.8 meters by 3.8 meters,

∴ The area of Steven's bedroom is (3.8×3.8) sq meters.

= 14.44 sq meters.

Andy’s bedroom 3.6 meters by 4.1 meters.

∴ The area of Andy's bedroom is (3.6×4.1) sq meters.

= 14.76 sq meters.

So, the area of George's bedroom is the greatest.

learn more about rectangles here :

https://brainly.com/question/15019502

#SPJ2

Answer:

Slope is 4.

y=4x + 1

Take coordinates (0,1) & (1,5)

Rise/Run

5-1/1-0 = 4

The answer is

1.1%, 0.1, 1/9, 2/11

Step-by-step explanation:

convert the fractions to decimals, the percentage to decimal.

then just order the numbers from smallest to biggest

1/9= 0.11

2/11=0.18

1.1%/100= 0.011