Identify the property being demonstrated for each expression.
13+ (5 + 7) = (3 + 5) + 7
(3)[5(7)] = (3)[7(5)
5 + 0 = 5

Answer:

Step-by-step explanation:

f(n)= -3n + 2

to find :f(12)

substitute 12 in place of n

f(12)= -3*12 + 2

f(12)=-36 + 2

f(12)= -34

The value of the  f(12) is equal to -46 where the expression is

f(n) = -3n + 2.

Any mathematical statement which consist of numbers , variables and arithmetic operations is known as expression. An expression gives some numerical value when we put the value of variables in it.

Here, f(n)= -3n + 2 is the given expression.

So, we can find the value of f(12) by putting n=12 in f(n).

Put n=12 in f(n), we get

          f(12)= (-3)×12 + 2

                 = -48 + 2

                 = -46

Hence, the value of f(12) is -46.

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Answer:

p = 5 and b = 8

Step-by-step explanation:

First, create a system of equations:

2p + 4b = 42

7p + 9b = 107

Solve by elimination by multiplying the top equation by -7 and the bottom equation by 2:

-14p - 28b = -294

14p + 18b = 214

Add these together, and solve for b:

-10b = -80

b = 8

Plug in 8 as b into one of the equations, and solve for p:

2p + 4b = 42

2p + 4(8) = 42

2p + 32 = 42

2p = 10

p = 5

So, p = 5 and b = 8

Answer:

p = 5 and b =8

Step-by-step explanation:

2p + 4b = 42

2p = 42 - 4b

p = 21 - 2b

7p + 9b = 107

7 (21 - 2b) + 9b = 107

147 - 14b + 9b = 107

147 - 5b = 107

-5b = -40

b = 8

2p + 4 * 8 = 42

2p + 32 = 42

2p = 10

p = 5

Answer:

2x-4

Step-by-step explanation:

2x-4

mx+b format

Answer:

3,16,729

Step-by-step explanation:

Answer:

The value of x is 4.

Step-by-step explanation:

The perimeter of the triangle is the sum of the lengths of all its sides.

The perimeter of the rectangle is twice the sum of the length and the width.

base of triangle = x

two equal sides = x + 5

length of rectangle = x - 1

width of rectangle = x + 4

According to the question,

Perimeter of triangle = perimeter of rectangle

x + x + 5 + x + 5 = 2 ( x - 1 + x + 4)

3 x + 10 = 2 (2 x + 3 )

3 x + 10 = 4 x + 6

4 x - 3 x = 10 - 6

x = 4

Answer:

A≈87.96

Step-by-step explanation:

A=2πrh+2πr2

= 2pi(2)(5) + 2pi(2)2

Answer:

Hello! answer: 87.92

Step-by-step explanation:

Im a little rusty on these but the answer I believe would be 87.92

2 × 2 × 3.14 = 12.56

2 × 2 × 3.14 = 12.56

4 × 3.14 = 12.56 12.56 × 5 = 62.8

12.56 + 12.56 + 62.8 = 87.92

Hope that helps!

Answer:

6

Step-by-step explanation:

12÷2=6

Hope this helps! :)

Answer:

Step-by-step explanation:

(a + b)(a - b) = a² - b²

[tex](7 + 4\sqrt{3}) (7 - 4\sqrt{3}) = 7^{2}-(4\sqrt{3} )^{2}\\\\ = 49 - 4^{2}*(\sqrt{3})^{2}\\\\= 49 - 16 * 3\\\\= 49 - 48\\\\= 1[/tex]

[tex]\boxed{1}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](7 + 4 \sqrt{3} ) \: (7 - 4 \sqrt{3} ) \\ \\ = 7 \: (7 - 4 \sqrt{3} ) + 4 \sqrt{3} (7 - 4 \sqrt{3} ) \\ \\ = 49 - 28 \sqrt{3} + 28 \sqrt{3} - 48 \: (since \: \sqrt{3} \times \sqrt{3} = 3)\\ \\ = 49 - 48 \\ \\ = 1[/tex]

You can also use the identity:

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

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

Part A

median: 7, third quartile: 15, first quartile: 3, units: years

Part B

image doesn't show whole question

Step-by-step explanation:

2,2,4,7,7,14,16,18

2,2,4,(7\/7),14,16,18

2,2\/4,7\/7,14\/16,18

Answer:

y = 13x - 1

Step-by-step explanation:

y =   13        x        - 1

     Slope          y intercept

Answer:

y = 13x -1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 13x -1

It's A.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

Answer:

Step-by-step explanation:

By adjacent interior angles theorem,

If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.

a° + (3x - 18)° = 180°

a° = 180° - (3x - 18)°

By vertical angles theorem,

If two straight lines intersect each other at a point, opposite angles formed are equal in measure.

180° - (3x - 18)° = (5x - 10)°

(5x - 10) + (3x - 18) = 180

(5x + 3x) - (10 + 18) = 180

8x - 28 = 180

8x = 180 + 28

8x = 208

x = 26

Answer:

f(2)f(2) = 49

Step-by-step explanation:

Note that f(2)f(2) is the same as [f(2)]^2.

If f(x) = 5x - 3, then f(2) = 5(2) - 3, or f(2) = 7, and so:

f(2)f(2) = [f(2)]^2 = 7^2 = 49

Thus, f(2)f(2) = 49

Answer:

Syllogism, or C.

Answer:

[tex]\text{A. The zeroes are 8 and -4, because }y=(x-8)(x+4)[/tex]

Step-by-step explanation:

[tex]x^2-4x-32=0,\\(x-8)(x+4)=0,\\\begin{cases}x-8=0, x=\boxed{8},\\x+4=0, x=\boxed{-4}\end{cases}[/tex]

Answer: A $6

Step-by-step explanation:

Let x = price per child ticket, y= price per senior ticket.

As per given, we have

5x+12y=102  (i)

12x+14y=156  (ii)

From (i), we have

[tex]x=\dfrac{102-12y}{5}[/tex]   (iii)

Put value of x in (ii), we get

[tex]12(\dfrac{102-12y}{5})+14y=156\\\\\\ \dfrac{1224-74y}{5}=156\\\\\\1224-74y=5\times156\\\\\\ 1224-74y=780\\\\\\ 74y=1224-780\\\\\\ 74y=444\\\\ y=\dfrac{444}{74}\\\\\\ y=6[/tex]

Hence, the price of senior ticket = $6

Thus the correct option is A.

Answer:

Step-by-step explanation:

1) the complete squares of the picture are 12, if we unite the other we can reach 15 squares circa

15 * 50 = 750 square units

3) Area = base x height = 12 * 9 = 108 cm^2

4) Area = (base x height)/2 = (24 * 16)/2 = 192 in^2

6) Area of the square = side ^ 2 = 12^2 = 144 cm^2

height of the triangle = 20 - 12 = 8 cm

Area of the triangle = (base x height)/2 = (12 * 8)/2 = 48 cm^2

Total area = 144 + 48 = 192 cm^2

7) radius = diameter / 2 = 20 : 2 = 10 cm

circumference = radius * 2 * pi = 20 * pi = 62.8 cm

area = radius^2 * pi = 100 * pi = 314.2 cm^2

10) √25 = 5

we have to find a  positive number that multiply by itself gives 25

12) √100 = 10

we have to find a positive number that multiply by itself gives 100

15) √64 = 8

we have to find a positive number that multiply by itself gives 64

a, I see, you split the workload :D

this answer is just a greeting,making you able to choose a brainliest.

if someone leaves a greeting in the other topic, it works there to. :D

Answer:

Ball distance from ground = 74 feet

Step-by-step explanation:

Given function;'

h(t) = -167(t) + C

t = number of seconds

c = height of the bridge

Find:

Ball distance from ground

If,

c =  260-foot-high bridge

t = 2 seconds

Computation:

h(t) = -167(t) + C

h(2) = -167(2) + 260

h(2) = -334 + 260

h(2) = -74

Ball distance from ground = 74 feet

Answer:

The maximum is -3

Step-by-step explanation:

A parabola that opens down (- in front), the vertex represents the highest point on the graph, or the maximum value.

The vertex of the equation is (-7,-3)

So, the maximum y value is -3

Answer:

Yes

Step-by-step explanation:

x^(-3/7) = 7th root of x^(-3) = 7th root of (1/x^3)

Answer:

are u solving for  x  if so then

x=7

Step-by-step explanation:

hope this helps ...brainliest please!

Answer:

10x³+2x²-8x-6

Step-by-step explanation:

Total amount = ₹ (100x³ ‒ 5x + 3)

Amont spent in gift = ₹ (10x³ + 3x)

Amount spent in buying food = ₹ (80x³ ‒ 2x² +9)

Left amount = Total amount - (Amount spent in gift+Amount spent in buying food)

= (100x³ ‒ 5x + 3)- [(10x³ + 3x)+(80x³ ‒ 2x² +9)]

= (100x³ ‒ 5x + 3)-(10x³ +3x+80x³ ‒ 2x² +9)

= 100x³ ‒ 5x + 3-10x³-3x-80x³ +2x²-9

= 10x³+2x²-8x-6

Hence, this is the required solution.

The solution is Option A.

The solutions of the trigonometric equation sin (x) = sec (x) is none because the range of sine is −1 ≤ y ≤ 1. Since 2 does not fall in this range, there is no solution

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

sin ( x ) = sec ( x )   be equation (1)

On simplifying the equation , we get

sin ( x ) = 1 / cos ( x )

Multiply by cos ( x ) on both sides of the equation , we get

sin ( x ) cos ( x ) = 1

Now , the value of the trigonometric equation sin ( 2x ) = 2sin ( x ) cos ( x )

So , Substituting the values in the equation , we get

2sin ( x ) cos ( x ) / 2 = 1

sin ( 2x ) / 2 = 1

Multiply by 2 on both sides of the equation , we get

sin ( 2x ) = 2

Now , The range of sine is −1 ≤ y ≤ 1

So , there is no solution for the equation

Hence , the solution to the trigonometric equation is none

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1,000,000

100 * 100 * 100

100^3

1,000^2

10,000 * 100

10^4 * 10^2

10^3* 10^3

10^5 * 10

1,000 * 1,000

100,000 * 10

400,000 * 2.5

500,000 * 2

250,000 * 4

200,000 * 5

10 * 10 * 10 * 10 * 10 * 10

10^3 * 10 * 10^2

10^4 * 10 * 10

10^7 / 10

10^10 / 10^4

I DON'T WANT TO WRITE MORE

The solution is: the expressions as we can that have the same value as 10 to the 6 power , using exponents and multiplication are given below.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

10 to the 6 power

i.e. 10^6

now, using exponents and multiplication the expressions as we can that have the same value as 10 to the 6 power are:

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Answer:

1185 10/30 square feet

Step-by-step explanation:

Area of a rectangle = length * width

Given

Length = 25 2/5 feet

width = 46 4/6

Substitute into the formula;

Area = 25 2/5 * 46 4/6

Area = 127/5 * 280/6

Area = 35,560/30

Area = 1185 10/30

Hence the area of the rectangle is 1185 10/30 square feet

Answer:

25 hamburgers

Step-by-step explanation:

Kate is making hamburgers for her friends and has 8 1/3 pounds of hamburger. How many 1/3-pound hamburgers can she make

Solution:

Given that Kate has 8 1/3 pounds of hamburger and she wants to make various hamburgers of 1/3 pound each. To determine the number of hamburgers she can make, we just have to divide the pounds of hamburger (8 1/3 pounds) by the 1/3 pounds.

8 1/3 pounds = [(8*3) + 1] / 3 = (24 + 1) / 3 = 25/3 pounds of hamburger

Therefore:

Number of hamburgers she can make = (25/3 pounds) / (1/3 pound) = 25 hamburgers

Answer: y = 1x + 3

Step-by-step explanation:

If you plot it, you see the slope is 1/1, and the y-intercept is at (0, 3).