f(2) if f(x) = (x + 1)2.

Given:

The expression is:

[tex]13+23+12+7[/tex]

To find:

The value of the given expression by using Commutative and Associative properties of numbers.

Solution:

We have,

[tex]13+23+12+7[/tex]

Applying parenthesis and brackets, we get

[tex]=[13+(23+12)]+7[/tex]

[tex]=[13+(12+23)]+7[/tex]             [Commutative properties of numbers]

[tex]=[(13+12)+23]+7[/tex]             [Associative properties of numbers]

[tex]=(25+23)+7[/tex]

Using Associative properties of numbers, we get

[tex]=25+(23+7)[/tex]               [Associative properties of numbers]

[tex]=25+30[/tex]

[tex]=55[/tex]

Therefore, the value of the given expression 55.

Answer:

40*52*11*4 = $91,520

But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.

Step-by-step explanation:

Answer: $385440 if you work non stop, for every hour of those 4 years

Step-by-step explanation: 24 hours in a day, 24*365=8760

8760*4=35040 total hours.

Now if we multiply that by 11, because you get 11 dollars an hour,

35040*11= $385440 in total

But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.

Answers:

=================================================

Explanation:

Let's say that the letter k replaces the green box

We have the equation y = kx

Plug in (x,y) = (7,35) to get the equation 35 = k*7

Dividing both sides by 7 leads to k = 5

Therefore, the direct variation equation is y = 5x

We can check this by plugging in x = 7

y = 5x

y = 5*7

y = 35

So x = 7 leads to y = 35 as expected.

-------------

Do the same for x = 4

y = 5x

y = 5*4

y = 20 when x = 4

Side note: direct variation equations always go through the origin.

Answer:

20

Step-by-step explanation:

if y varies directly with x, then it takes the form y=mx

to find m, substitute in the values of x and y to get 35=m*7 and simplify to get that m=5

then the equation becomes y=5x

substitute in the value they gave for x which is 4 to get y=5*4

to get that y=20

==========================================

Work Shown:

sin(A)*cot(A)

sin(A)*( cos(A)/sin(A) )

cos(A)

--------------

Basically I replaced cot(A) with cos(A)/sin(A). Then the sin(A) terms canceled out leaving cos(A) behind.

Answer:

cosA

Step-by-step explanation:

Using the identity

cotA = [tex]\frac{cosA}{sinA}[/tex] , then

sinA × cotA

= sinA × [tex]\frac{cosA}{sinA}[/tex] ( cancel sinA )

= cosA

Answer:

hey, i think it's the first alternative

Step-by-step explanation:

Answer:

Letter A) 5

Step-by-step explanation:

all the other answers are negative so they are less than 4.

5 comes after 4 so 5 is greater than 4.

Hope this is helpful

Answer:

x <2

Step-by-step explanation:

2.5 – 1.2x < 6.5 – 3.2x

Add 3.2x to each side

2.5 – 1.2x+3.2x < 6.5 – 3.2x+3.2x

2.5 +2x < 6.5

Subtract 2.5 from each side

2.5+2x-2.5<6.5-2.5

2x<4

Divide by 2

2x/2 < 4/2

x <2

Answer:

x = 0

Step-by-step explanation:

-2(x-4)=4x+2x+8

Distribute

-2x +8 =4x+2x+8

Combine like terms

-2x+8 =6x+8

Add 2x to each side

-2x+2x+8 =6x+2x+8

8 = 8x+8

Subtract 8 from each side

8-8 = 8x+8-8

0 = 8x

Divide by 8

0=x

Answer:

x = 0

Step-by-step explanation:

-2(x-4) = 4x+2x+8

-2x+8 = 6x+8

8-8 = 6x+2x

0 = 8x

x = 0

Hope this will help and if so, then please mark me as brainliest.

Answer:

Range: [-7, 8]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:

Range: [-7, 8]

Answer:

50 boys

Step-by-step explanation:

The number of groups = 24

The average number of children = 16

The new average number of children when one group is added = 18

The ratio of boys to girls in the group that just joined = 5:6

The initial number of boys = 220

Let the initial number of children

The initial total number of children = 24 × 16 = 384

The initial number of girls = 384 - 220 = 164

The final number of children = 25 × 18 = 450

The number of children in the group that joined in the game = 450 - 384 = 66

The ratio of boys to girls in the group = 5:6

Therefore, we get;

The number of boys = 66 × 5/11 = 30

The number of girls = 66 - 30 = 36

The number of boys at the end = 220 + 30 = 250

The number of girls at the end = 164 + 36 = 200

The number of more boys than girls at the end = 250 - 200 = 50

The number of more boys than girls at the end = 50 boys

3p²q - 6 pq²

3pq (p - 2q )

I think this is the solution

Answer:

8 chocolates

Step-by-step explanation:

im not really good at math and didnt use an equation but if you add 5 and 2 together until 28 and then count up how many 2's you added, you should get the answer! sorry if this isnt helpful <3

Answer:

for the firt one the patters is +6  +7   +8    +9  

Step-by-step explanation:

Answer:

4. =3 ft

5. 2/1.25 lb

Answer:

4) 3 ft = 36in  ⇔   [tex]\frac{36in}{12in}[/tex]  = 3 inches

5) 2 lb = 32 oz  ⇔  [tex]\frac{32oz}{20oz}[/tex]  = 1.6 oz

1) 7/12= 0.58, 4/7= 0.57

they are about 1/2

2) 7/12 + 4/7 = 97/84= 1.15 approximately 1

which is 1m from the option

Answer:

x = [tex]\sqrt{26}[/tex]

Step-by-step explanation:

using pythagoras theorem

here [tex]\sqrt{13}[/tex] and [tex]\sqrt{13}[/tex] are the legs of the right angled triangle and x is hypotenuse.

a^2 + b^2 = c^2

[tex](\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2[/tex]

13 + 13 = x^2

26 = x^2

[tex]\sqrt{26}[/tex] = x

Answer:

answer would be c

Step-by-step explanation:

hope this helps

Answer:

no

Step-by-step explanation:

no

Answer:

4x² -4xy -4y -4

Step-by-step explanation:

[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

In this case, a= 2x -y and b= y +2.

(2x -y)² -(y +2)²

= (2x -y +y +2)[2x -y -(y +2)]

= (2x +2)(2x -y -y -2)

= (2x +2)(2x -2y -2)

= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)

= 4x² -4xy -4x +4x -4y -4

= 4x² -4xy -4y -4

Alternatively, start by expanding the brackets.

[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]

[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]

(2x -y)² -(y +2)²

= 4x² -4xy +y² -(y² +4y +4)

= 4x² -4xy +y² -y² -4y -4 (expand)

= 4x² -4xy -4y -4 (simplify)

Answer:

(x - 5)² + (y - 5)² = 18

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, 5) , then

(x - 5)² + (y - 5)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)

r = [tex]\sqrt{(8-5)^2+(8-5)^2}[/tex]

  = [tex]\sqrt{3^2+3^2}[/tex]

   = [tex]\sqrt{9+9}[/tex]

   = [tex]\sqrt{18}[/tex] ⇒ r² = ([tex]\sqrt{18}[/tex] )² = 18

Then

(x - 5)² + (y - 5)² = 18 ← equation of circle

Answer:

You didn't provide " the following" from which to choose.

Here are two solutions

y = 2x - 1

y - 1 = 2(x - 1)

Answer:

C

Step-by-step explanation:

Answer:

SA = 112π cm²

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

Step-by-step explanation:

Step 1: Define

Identify

r = 4 cm

h = 10 cm

Step 2: Find Surface Area

Answer:

(x - 2)^2 + (y + 2)^2 = 100

Step-by-step explanation:

We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.

Then the radius of this circle will be the distance between (2, - 2) and  (-4, 6)

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Then the distance between (2, - 2) and  (-4, 6) is:

[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]

Then the radius of the circle is R = 10

and we know that the center is (2, -2)

the equation for this circle is then:

(x - 2)^2 + (y - (-2))^2 = 10^2

(x - 2)^2 + (y + 2)^2 = 100

Answer:

+ 5 = length 2x + 2(x + 5) = 38

Answer:

d -x=y the awnssr may not be correct but I tried so

Step-by-step explanation:

my answer is in the image above

Answer:

1 / 7

Step-by-step explanation:

Number of sections on spinner = 7

Section is numbered 1 to 7

Since the probability of landing on each section is the same:

Probability that spinner lands on 4 :

Probability, p = Required outcome / Total possible outcomes

Required outcome = landing on 4 = 1

Total possible outcomes = (1 to 7) = 7

P(landing on 4) = 1 /7