The price of a cup of coffee was $2.10 yesterday. Today, the price rose to $2.45. Find the percentage increase. Round your answer to the nearest tenth of a
percent.

=> 9x² - 24x + 16

Split the middle term(term with x) in such a manner so that the product of those parts is equal to the product of term with x² and constant. Here, those parts are 12 & 12 as 12*12 = 9*16.

=> 9x² - 24x + 16

=> 9x² - (12 + 12)x + 16

=> 9x² - 12x - 12x + 16

=> 3x(3x - 4) - 4(3x - 4)

=> (3x - 4)(3x - 4)

Method 2

=> 9x² - 24x + 16

=> (3x)² - 2(3x*4) + 4²

=> (3x - 4)²

=> (3x - 4)(3x - 4)

Method 3

In case if you can't find the factors of the middle term.

Say f(x) = 0, find the zeroes using quadratic formula. Zeroes of this eqⁿ are [-(-24) ± √24²-4(9)(16)] / 2(9) = 4/3 & 4/3

Therefore, f(x) = (x - 4/3)(x - 4/3) = (3x - 4)(3x - 4)/9

Ignore the numeric constant.

f(x) = (3x - 4)(3x - 4)

Answer:

x = 76°

Step-by-step explanation:

76° and x are alternative interior angles, so they are congruent when lines a and b are parallel

Answer:

it does not form a triangle

Step-by-step explanation:

brainliest give me pls pls pls

Answer:

It forms a obtuse triangle

Step-by-step explanation:

Because two sides are the same.

Answer:

8 ft

Step-by-step explanation:

Given:

Volume = 401.92

radius = 4 feet

Volume of cylinder: [tex]\pi[/tex]r^2h

3.14 * 4^2 * h = 401.92 cubic feet

3.14 * 16 * h = 401.92 cubic feet

50.24 * h = 401.92

h = 8 ft

Answer:

x=  -16/19

Step-by-step explanation:

x−14x+4+12=6x+32

−13x+16=6x+32

16=6x+32+13x

16=19x+32

16−32=19x

−16=19x

-16/19=x

Answer:

Y = 10 I believe

Step-by-step explanation:

To solve this we need to find what number, times 6, equals 18 - it's fairly easy to find the answer is three.

So what, minus seven, equals 3?

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

Use the distance formula:

[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]

plug in (-5,6) for (x1,y1) and (-3,-1) for (x2,y2)

[tex]\sqrt{(-5-(-3))^2+(6-(-1))^2}[/tex]

[tex]\sqrt{4+49}[/tex]

[tex]\sqrt{53}[/tex]

Hope that helps :)

Answer:

f(x) is flipped, and each point is moved 3 units to the left and 2 units up

Step-by-step explanation:

Answer:

1 kg here you go this is the answer

Answer: z= -0.5

Step-by-step explanation: mean m=120 and deviation s=10.

Z = (x-m)/s= (115-120)/10

Answer: z=−1.1

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

​

z-score formula

z=\frac{104-115}{10}

z=

10

104−115

​

Plug in values

z=\frac{-11}{10}

z=

10

−11

​

Subtract

z=-1.1

z=−1.1

Divide

Answer:

38.7

Step-by-step explanation:

[tex]\frac{sinA}{A}=\frac{sinB}{B}=\frac{sinC}{C}[/tex]

A, B and C are the sides of the triangle and sinA, sinB and sinC are the opposing angles

[tex]\frac{sin95}{43}=\frac{A}{27}[/tex]

[tex]A = sin^{-1} (\frac{27*sin95}{43} )=38.72018809[/tex]

Answer:

Solution in photo

Answer:

Step-by-step explanation:

1. b. Alt. Exterior angles

  a. 7x + 8 = 6x + 18

   c.    x + 8 = 18

          x = 10

   d. 6(10) + 18 = 60 + 18 = 78

       7(10) + 8 = 70 + 8 = 78

2. 15x + 10 + 12x + 8 = 180

     same side angles

   27x + 18 = 180

   27x = 162

   x = 6

15(6) + 10 = 90 + 10 = 100 degrees

12(6) + 8 = 72 + 8 = 80 degrees

3. 12x + 2 = 11x + 6

    x + 2 = 6

    x = 4

12(4) + 2 = 48 + 2 = 50 degrees

11(4) + 6 = 44 + 6 = 50 degrees

corresponding angles

Answer:

6

Step-by-step explanation:

No. of people going to beach = 46 .

Using Unitary Method ,

9 people can go in one van .

1 person can go in 1/9

46 people can go in 1/9 * 46 = 5.1

Since vans can't be in fraction , 1 extra van for 1 person is need that is for 46th person .

So total number of vans = 5 + 1 = 6

Answer:

20% i believe

Step-by-step explanation:

i looked it up actually lol

Answer:

The percentage change is a 20% increase

Answer:

Yes lol

Step-by-step explanation:

Well the app says it helps people learn the answers but when I'm in a test i just look at letters:)

Answer:

I mean i'm the type to give a long winded answer. But i guess it depends on the context. Sometimes people ask for an explanation yk? Like most of those ppl who ask questions for History and English need a written response.

Answer:

-3 + 8 = 5

Step-by-step explanation:

When we have a "minus a negative", it's a positive. So the - -8 is the same as + 8.

LMK if you have questions.

-3 + -8 = -11

is that a nice one or something

Answer:

24 or 12

Step-by-step explanation:

Multiplication

Answer:

x = 10

Step-by-step explanation:

10 + 10 = 20

Good luck with your work!

Answer:

x = 10

Step-by-step explanation:

x + x = 20 can also be interpreted as 2x = 20. This makes it easier to solve for the variable.

To isolate x, do the inverse operation of multiplication. So, we have to divide both sides of the equation by 2.

[tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]

Simplify this equation for x = 10.

I hope this is helpful. Good luck ^^

Step-by-step explanation:

54, 54, 72

[tex]180 - 2 \times 54 = \\ = 180 - 108 = \\ = 72[/tex]

Answer:

18

Step-by-step explanation:

Answer:

It's 16m

Step-by-step explanation:

Let's say the missing side is C, and since the triangle is right-angle triangle, you can use Pythagoras theorem. Which is

C squared is equal to A squared plus B squared

Like this: c^2 = a^2+b^2

Then

c^2= (10)^2 + (12)^2

c^2= 100 + 144

c^2= 244

c=

[tex] \sqrt{244} [/tex]

c = 15.6

Hope this helps :)

Answer: 40 pages in total

Explanation: Porter has read 20% of the book and this translates to 8 pages of the book.

20% = 8 pages

Assume the total number of pages is x:

20% * x = 8

0.2x = 8

x = 8 / 0.2

x = 40 pages in total

Answer:

40 pages in the book

Step-by-step explanation:

8/40 = .20

Answer:

c, rotation

Step-by-step explanation:

where it gives you lets follow them they make a shape everything else dont matter.