3. Multiply: (x + 8)(x - 12)

Please show work

5 students offers all the two subjects.

Student that offers Physic only = 15 students

Student that offers chemistry only  = 13 students

Students that offers only one subject = 28 students

Total student in the class = 35

20 offer physics.

18 offer chemistry

2 offer neither physics nor chemistry.

Therefore,

x = student that offer both subject

35 = 20 + 18 - x + 2

35 - 2 - 20 - 18 = -x

-5 = -x

x = 5

Therefore, 5 students offers all the two subjects.

Student that offers Physic only = 20 - 5 = 15

Student that offers chemistry only = 18 - 5 = 13

Students that offers only one subject = 13 + 15 = 28

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[tex]6\cdot\square=9\\\\\square=9:6\\\\\square=\frac{9}{6}\rightarrow\square=\frac{3}{2} \ (\text{devide 9 and 6 by 3})[/tex]

9514 1404 393

Answer:

  a(n) = 1/2(-8)^(n-1)

Step-by-step explanation:

The general term of a geometric sequence is ...

  a(n) = a(1)×r^(n-1)

where a(1) is the first term, and r is the common ratio.

Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...

  a(n) = 1/2(-8)^(n-1)

Answer:

13x

Step-by-step explanation:

(x)(4(2)+5)

x(8+5)

x(13)

13x . answer

Answer:

[tex]\huge\boxed{\sf f(4x + 5) = 16x\² + 40x + 25}[/tex]

Step-by-step explanation:

Given that:

f(x) = x²

Put x = 4x + 5

f(4x + 5) = (4x + 5)²

f(4x + 5) = (4x + 5)(4x + 5)

f(4x + 5) = 4x(4x + 5) + 5(4x + 5)

f(4x + 5) = 16x² + 20x + 20x + 25

f(4x + 5) = 16x² + 40x + 25

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

3+2/9 = 29/9

Step-by-step explanation:

examples:

4/9 = 0.444444

8/9 = 0.888888

3/9 = 0.3333333

7/9 = 0.777777

1/9 = 0.111111111

2/9 = 0.22222222

80/99 = 0.808080

67/99 = 0.6767676767

44/99 = 0.4444444

12/99 = 0.1212121212

345/999 = 0.345345345

i think you get the point.

so we know 2/9 = 0.22222, so now just add a 3:

3+ 2/9 = 27/9 + 2/9 = 29/9

Step-by-step explanation:

putting X in place of sin we get,

4x²-5x-6

4x²-8x+3x-6

4x(X-2) +3(x-2)

(4x+3)(x-2)

putting back sin in place of X

(4sin+3)(sin-2)

Answer:

y-y1=slope (x-x1)

where x1=-5, y1=-7 and the slope=2÷5

we substitute for x and y

y-(-7)=2÷5{x-(-5)}

y+7=2÷5(x+5)

y+7=(2x+10)÷5 cross multiply

5y+35=2x+10 collect like terms

5y=2x+10-35

5y=2x-25 ......ans

Answer: H. 20%

Step-by-step explanation: if 4/5 got 100 then 80% got 100 so the other 20% did not get a 100

Step-by-step explanation:

steps are in picture above.

if you need to ask questions I'll give you answers gladly.

Answer:

Answer is 2x^2 + 1x - 15

Step-by-step explanation:

Answer:

I think the answer is 30 percent

Answer:

B. 3.09-3.10-3.2-3.5 is the answer

Answer:

[tex] - \frac{2187}{3125} [/tex]

Step-by-step explanation:

[tex]9 \times ( \frac{ - 3}{5} )^{5} [/tex]

[tex]( \frac{ - 3}{5} {)}^{5} = \frac{( - 3 {)}^{5} }{ {5}^{5} } [/tex]

[tex] \frac{ - 243}{ {5}^{5} } = - \frac{ 243}{3125} [/tex]

[tex] - 9 \times ( - \frac{243}{3125} )[/tex]

[tex] = - \frac{2187}{3125} [/tex]

9514 1404 393

Answer:

  25 ft

Step-by-step explanation:

The volume is given by the formula ...

  V = LWD . . . . . the product of length, width, depth

Solving for L, we have ...

  L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft

The length of the pool is 25 ft.

Step-by-step explanation:

x = 1/4

4x = 4 * 1/4 = 4/4 = 1.

9514 1404 393

Explanation:

Add sin(θ)

  cos(θ) = sin(θ)

Divide by cos(θ)

  1 = sin(θ)/cos(θ) = tan(θ)

Square both sides

  1 = tan²(θ)

Add 1

  2 = tan²(θ) = sec²(θ)

Take the square root

  √2 = sec(θ) . . . . for 0 < θ < π

_____

Additional comment

The equation cos(θ) -sin(θ) = 0 has two solutions: θ = π/4 and θ = 5π/4. For the first-quadrant solution, sec(θ) = √2. For the third-quadrant solution, sec(θ) = -√2.

Answer:

C. 360°

Step-by-step explanation:

Two pairs form a complete angle with a sum of 360°.

Answer:

100 yojan=how much km

1287.48

please brainlist

Answer:

Points A and B are represented on the number line.

А

B

-ht

-2

-1

0

1

2

Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.

Statement True or False?

IAI > IBI

False

IAI > 0

False

A>B

true

Answer:

a.8100

b.3200

Step-by-step explanation:

hope you're okay

Answer:

see below

Step-by-step explanation:

10(9-1)

Distribute

10 * 9  - 10 *1

90 - 10

80

Answer: 80

Step-by-step explanation:

10(9-1) = 90 - 10 = 80

Answer:

2nd option is correct

∠AEF and ∠FED , ∠AEG and ∠CEG

Step-by-step explanation:

1st option is a supplementary and even 3rd and 4th options

Answer:

6x-8

Step-by-step explanation:

less  than means it comes after

product of 6 and a number x

6x

8 less than

6x-8

Answer:

12)  3/5=534 students

13)  2151 kg

14)a)7.1 US$

   b)total=10.2 US$

Step-by-step explanation:

12)students who had lunch=2/5*890

                                            =356 students

 students who did not have lunch=5/5-2/5

                                                         =3/5*890

                                                        =534 students

14)a)4pens=180 cents

       2 books=5.3$

      total=7.1 US$

b)5 pens=225 cnets

   3 books=7.95 US$

  total=10.2 US$

10)ate=1 over 8

    remaining=8/8-1/8

                     =7/8

after six hours=7/8*2/5

                        =7 over 20

total ate=1/8+7/20

            =14+5 over 40

           =19 over 40

remaining=40 over 40 - 19 over 40

                =   21 over 40

to dog=21/40 *1/4

          =21 over 160

total=19 over 40 +21 over 160

        =152+21 over 160

         =173  over 160

Sorry I am stucked from here.

Answer:

The distance is always the opposite of the difference.The distance is the absolute value of the difference.

Answer:

The distance is the absolute value of the difference

Step-by-step explanation:

Sum is the when 2 or more numbers are added . Difference is the quantity at which 2 numbers differ i.e difference between 9 and 7 is 2. If you are talking about distance in reference to segment the distance ishow far apart two points are.

Step-by-step explanation:

NO,IT DEPENDS UPON SITUATIONS

IF B IS -5 THEN A CAN BE -2,-4,-3 OR 1 ,2,3,4,......

Answer:

I don't know jdjdjdcisveobeobeoxbepxbeoxbwp

Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u

Step-by-step explanation:

https://www.wyzant.com/match