Factorise w2 + 4w need help asap

Answer:

[tex]f^\prime(x)=-2|x-1|-3[/tex]

Step-by-step explanation:

Write the equation for f(x)=IxI but vertically stretch it by a factor of 2, flip it over the x axis, shift it down 3 units, shift it 1 unit to the right

We have the (parent absolute value) function:

[tex]f(x)=|x|[/tex]

And we want to write a new function which represents the previous function: 1) Vertically stretched by a factor of 2, 2) flipped over the x-axis, 3) shifted down 3 units, and 4) shifted 1 unit to the right.

1)

To vertically stretch/compress a function, we multiply the function by a constant a.

We want to vertically stretch our function by 2. So, we will multiply our function by 2. Therefore:

[tex]f^\prime(x)=2|x|[/tex]

2)

We want to flip the function over the x-axis.

To flip a function over either axis:

Since we want to flip our function over the x-axis, we will multiply it by -1. So:

[tex]f^\prime(x)=-2|x|[/tex]

3)

We want to shift our function down by 3 units.

To shift a function vertically, we simply add the vertical shift to our function.

Since we are shifting downwards by 3 units, we will add -3 to our function. So:

[tex]f^\prime(x)=-2|x|-3[/tex]

4)

Finally, we want to shift our function 1 unit to the right.

To shift a function horizontally, we replace the x with (x-n), where n is the horizontal shift.

Since we are shifting our function to the right, n=1. Therefore, we will replace x with (x-1). So, our function becomes:

[tex]f^\prime(x)=-2|x-1|-3[/tex]

And we have our final function.

Note: In general, try doing the vertical/horizontal stretches first, x/y-axis reflections second, and then vertical/horizontal shifts last to avoid mistakes.

Answer:

First term = 160

Common ratio = 3/2

Step-by-step explanation:

The 3rd term and the 6th term of a G.P are 360 and 1215

The terms are 3 terms apart so find the cube root of the ratio between the 6th and the 3rd term as;

[tex]\frac{1215}{360} =\frac{27}{8} \\\\\sqrt[3]{\frac{27}{8} } =\frac{3}{2} \\\\\\=\frac{3}{2}[/tex]

The common ratio is : 3/2

To find the first term, divide the third term by the common ratio to get the second term then do that to the second term to get the first term

360 / 3/2

360 *2/3 = 240  -----2nd term

240/ 3/2

240 * 2/3 = 160 ------1st term

9514 1404 393

Answer:

  57,001 cm², or 5.7 square meters

Step-by-step explanation:

The surface area of a cylinder is given by the formula ...

  A = 2πr(r +h)

  A = 2π(14 cm)(14 cm +40 cm) = 1512π cm²

Then 12 cylinders will have an area of ...

  12 × 1512π cm² = 18,144π cm² ≈ 57,001 cm²

Rui Feng wants to paint a total surface area of 57,001 cm², about 5.7 square meters.

Answer:

brah

Step-by-step explanation:

Answer:

[tex]1 \dfrac{1}{4} \ liters[/tex]

Step-by-step explanation:

Given that:

Claire uses 2 liters of paint to cover 1 3/5 doors

Then in order for her to paint 1 door, She will need:

2 L = 1 3/5 door

x L = 1 door

[tex]x (L) = \dfrac{2 L \times 1 door }{ 1 \dfrac{3}{5} \ door}[/tex]

[tex]x (L) = \dfrac{2 L }{ 1 \dfrac{3}{5} }[/tex]

[tex]x (L) = \dfrac{2 L }{ \dfrac{8}{5} }[/tex]

[tex]x (L) = \dfrac{2 L\times 5 }{ 8 }[/tex]

[tex]x (L) = \dfrac{10 \ L }{ 8 }[/tex]

[tex]x(L) =1 \dfrac{1}{4} \ L[/tex]

Answer:

(-3, 0) and (-1, 0)

Step-by-step explanation:

roots of the eqn = the x-intercepts (if any)

Topic: Quadratic Graphs.

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

-12<x<14

Step-by-step explanation:

-24<2x        -4<10

-12<x     0<14

-12<x<14

Answer:

You will need to make 3 transactions

Step-by-step explanation:

For the first one you will do 22 times 3 people which is 66 plus 10 which is 76. For the second one you will do 20 times 3 people which is 60 plus the 16 dollar which gives you 76. So 3 people have to buy tickets for the two companies to have the same price.

Answer:

0.75 or 3/4

Step-by-step explanation:

10 1/2 teaspoons of sugar ÷ 14 oz energy drink = ?

10.5 teaspoons of sugar ÷ 14 oz energy drink = 0.75 teaspoons of sugar per drink

OR (fraction way):

10 1/2 ÷ 14 = ?

First, Convert any mixed numbers to fractions.  Then your initial equation becomes:

21/2 ÷ 14/1 = ?

Apply the fractions formula for division (just flip the second fraction and multiply):

21/2 x 1/14 = 21/28 = 3/4 = 0.75

Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

Answer:

Answer:

(6,-7)

Step-by-step explanation:

The equation for reflecting an image about the origin is (a,b) to (-a,-b). It means you make x and y their opposites.

Step-by-step explanation:

Answer:

The answer is B: A captured boy learned there was a mine that contained a vein of pure gold.

Step-by-step explanation:

Took the test.

Answer:

The answer is B

Step-by-step explanation:

A captured boy learned there was a mine that contained a vein of pure gold.

Answer:

See Explanation

Step-by-step explanation:

[tex] \because \angle 1 [/tex] and [tex] \angle 2 [/tex] are complementary.

[tex] \therefore m\angle 1+m\angle 2=90\degree... (1)[/tex]

[tex] \because \angle 2 [/tex] and [tex] \angle 3 [/tex] are complementary.

[tex] \therefore m\angle 2+m\angle 3=90\degree... (2)[/tex]

From equations (1) & (2), we find:

[tex] m\angle 1+m\angle 2=m\angle 2+m\angle 3

[/tex]

[tex] m\angle 1+m\angle 2-m\angle 2=m\angle 3

[/tex]

[tex] m\angle 1=m\angle 3[/tex]

Thus proved.

Answer:

some information is missing, so I looked for similar questions and found the attached image:

since each recipe requires ¹/₂ cup of butter, you are able to make 12 ÷ ¹/₂ = 24 recipes with one container of butter (assuming you have all the other ingredients).

One-half, ¹/₂, is a fraction that can also be written in decimal form as 0.5. Two times ¹/₂ is equal to 1, and similarly, twenty four times ¹/₂ is equal to 12.

Answer:

[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]

Step-by-step explanation:

Given

5 daises to 2 roses

Required

Determine the relationship between them

The question shows a direct proportion between number of daises and roses.

i.e.

[tex]d\ \alpha\ r[/tex]

Where d = daises and r = roses

Convert the above expression to an equation

[tex]d = kr[/tex]

Make k the subject

[tex]k = \frac{d}{r}[/tex]

When d = 5 and r = 2;

[tex]k = \frac{5}{2}[/tex]

[tex]k = 2.5[/tex]

So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr

So:

[tex]d = 2.5 * r[/tex]

[tex]d = 2.5r[/tex] ----------- (1)

Make r the subject in (1)

[tex]r = \frac{d}{2.5}[/tex] ------------------------(2)

Hence, the relationships between d and r are:

[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]

Answer:

188

Step-by-step explanation:

because you will use cross multiply hours over money

1/12 and 24/m cross multiply 12x24=188

188/1= 188

Answer:

Step-by-step explanation:

x^2+20=2x move 2x to the left

x^2-2x+20=0

Quadratic formula =

x=1± i√19

Answer:

It is D on ed2020

1+-[tex]\sqrt 19 i[/tex]

Step-by-step explanation:

Answer:

25 visits (there are 5 visits per every 20$ spent)

Step-by-step explanation:

Hope I helped you, have a great day :)

Answer:

y=x+2

Step-by-step explanation:

y=mx+b

m is slope

b is y intercept

it crosses the y intercept at (0,2) therefore b is 2

rise over run is 1 so slope is 1

fill in

y=1x+2

or y=x+2

you can fill in any (x,y) point into this

Answer:

pq =28

Step-by-step explanation:

you set up the equation by making them equal each other 3x+4= 5x-12 and solve From there

Answer:

B. $0.88

Step-by-step explanation:

x = number of bananas

y = cost of bananas in dollars

Given that 4 bananas cost $3.52, the constant of proportionality that relates cost of bananas, y, to the number of pounds of bananas, x = y/x

y = 3.52

x = 4

Therefore:

Constant of proportionality = [tex] \frac{3.52}{4} = 0.88 [/tex].

Answer:

Step-by-step explanation:

[tex]x^2 - 2x = 120\\x^2 - 2x - 120 = 0[/tex]

We have to find the factors of 120 that can either add up to or have a difference of 2.

The factors of 120 are:

[tex]\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...[/tex]

The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:

[tex](x+10)(x-12)[/tex]

Answer: =−0.889

Step-by-step explanation:

math

Answer

i believe the answer is 16(-8)

Step-by-step explanation:

if you multiply how many inches the turtle goes DOWN which would be -8, and you multiply it by the 16 seconds you would get -128 because of the rules of multiplying integers.

Answer:

[tex]\huge\boxed{m\angle 1 = 131 \textdegree}[/tex]

[tex]\huge\boxed{m\angle 2 = 49 \textdegree}[/tex]

[tex]\huge\boxed{m\angle 3 = 112 \textdegree}[/tex]

Step-by-step explanation:

We can use basic angle relationships to find the measure of angles 1, 2, and 3 here.

First off, we know that the 49° angle and m∠1 are supplementary. This means that their angle measures will add up to 180°.

Since we know one, we can find the other easily.

[tex]x + 49 = 180\\\\x = 180-49\\\\x = 131[/tex]

So m∠1 = 131°.

We also know that m∠2 is opposite to the 49° angle. This means that m∠2 is also 49°.

Now, we know that m∠3 is also opposite to the 112° angle. Therefore, their angle measures are the same, and m∠3 is also 112°.

Hope this helped!

Answer:

2 big

30 small

Step-by-step explanation:

possibility