Which expressions are equivalent to 3x+ 3(x + y)?

Answer:addition property of equality, combine like terms, distributive property and division property of equality.

Step-by-step explanation: I took the test

Answer:

What solution set? I think you forgot to add a picture..

What solution do you need help with? :)

Answer:

74, 138

Step-by-step explanation:

The numbers seem to be increasing by powers of 2. 14 - 12 = 2 = 2¹, 18 - 14 = 4 = 2², etc. Therefore, the next 2 numbers would be 42 + 2⁵ = 74 and 74 + 2⁶ = 138.

Answer:

y = - 3x² - 24x - 60

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 12 ), thus

y = a(x + 4)² - 12

To calculate a substitute (- 7, - 39) into the equation

- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )

- 27 = 9a ( divide both sides by 9 )

- 3 = a

y = - 3(x + 4)² - 12 ← in vertex form

Expand (x + 4)²

y = - 3(x² + 8x + 16) - 12

   = - 3x² - 24x - 48 - 12

y = - 3x² - 24x - 60 ← in standard form

   = - 3(x²

Answer:

60yd

Step-by-step explanation:

First you multiply 3yd, and 6yd to get the area of 18 yards.

Second, you multiply the length of the triangle, so 6*7 is 42.

Finally you add both of the areas together to get the area of the full shape.

Answer:

The smallest of the integers is 7

Step-by-step explanation:

Let the integers be x, y and z

From the question, the integers are consecutive odd integers.

Hence,

If the smallest of the integers is x and the largest is z, then we can write that,

x + 2 = y and

y + 2 = z

Then, x + 2 + 2 = z

∴ x + 4 = z ....... (1)

From the question, four times the smallest decreased by 5 is the same as the largest increased by 12, that is

4x -5 = z + 12 ....... (2)

Put the value of z = x + 4 in equation (1) into equation (2),

We then get

4x - 5 = x + 4 + 12

4x - x = 4 + 12 + 5

3x = 21

x = 7

Hence, the smallest of the integers is 7

The other integers are 9 and 11 ( y= 9 and z = 11)

Answer:

2

Step-by-step explanation:

2x^2 -3xy^3

Let x=-2 and y =-1

2 ( -2)^2 -3 (-2) (-1)^3

Using PEMDAS, we do exponents first

2 ( 4) - 3(-2) (-1)

Multiply nexy

8 - 6

2

In this question, we are required to find

[tex]2 {x}^{2} - 3x {y}^{3} [/tex]

When, x = -2 and y = -1

We just need to plug the values of x and y in the given polynomial to get our required answer.

Given, Polynomial in variable x and y,

[tex]2 {x}^{2} - 3x {y}^{3} [/tex]

Plugging values of x and y,

[tex]2 {( - 2)}^{2} - 3( - 2)( - 1) {}^{3} [/tex]

According to PEMDAS, we need to do the exponents first, So let's simplify the exponents,

[tex]2(4) - 3( - 2)( - 1)[/tex]

Opening the parantheses and finding the answer,

[tex]2 \times 4 - 3 \times - 2 \times - 1[/tex]

[tex]8 -6[/tex]

[tex] \boxed{ \red{2}}[/tex]

This is our required answer !!

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

Answer:

[tex]x^{\frac{2}{3} }[/tex]

Step-by-step explanation:

Exponent Rules: [tex](b^m)^n = b^{mn}[/tex]

Exponent Rules: [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]

Step 1: Write expression

[tex]\frac{\sqrt[4]{x^3} }{x^{\frac{1}{12} }}[/tex]

Step 2: Rewrite radical

[tex]\frac{{(x^3)^{\frac{1}{4} }} }{x^{\frac{1}{12} }}[/tex]

Step 3: Multiply powers (numerator)

[tex]\frac{{x^{\frac{3}{4} }} }{x^{\frac{1}{12} }}[/tex]

Step 4: Subtract powers

[tex]x^{\frac{2}{3} }[/tex]

Answer

Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.

Step-by-step explanation:

Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.

The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:

540 − 6t.

Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:

|540 − 6t| = 60.

Solve an absolute value equation by writing it as two separate linear equations and solving each one:

540 − 6t = -60 540 − 6t = 60

-6t = -600 -6t = -480

t = 100 t = 80

Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.

The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:

540 − 6t.

Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:

|540 − 6t| = 60.

Solve an absolute value equation by writing it as two separate linear equations and solving each one:

540 − 6t = -60 540 − 6t = 60

-6t = -600 -6t = -480

t = 100 t = 80

The answer is 80

algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

Kendal is riding at a rate of 6 meters/second

The distance to the library is 540 meters.

Let x represent time in seconds

So, kendal travel = 6x

So, distance between Kendal and the library before she passes it:

=540 − 6x.

Now, Kendal will be 60 meters away from the library.

Kendal will be 60 meters away from the library

540 − 6x= 60

-6x= 60-540

-6x= -480

x= -480/-6

x= 80

Hence, the answer is 80

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:

DF= 20

Step-by-step explanation:

6x-4+3x-5=46

then you solve for x (x=5).

then plug it it : 3(5)+5=20

Value of DF is 20 unit

ED = 6x - 4

DF = 3x + 5

EF = 46

Value of DF

We know that;

EF = ED + DF

46 = 6x - 4 + 3x + 5

46 = 9x + 1

9x = 45

x = 5

Value of DF = 3x + 5

Value of DF = 3(5) + 5

Value of DF = 15 + 5

Value of DF = 20 unit

https://brainly.com/question/10198048?referrer=searchResults

Answer:

7.2*10⁶

Step-by-step explanation:

0.0000072 =  7.2*10⁶

Answer:

the answer is 2.620

Step-by-step explanation:

the way u will get this is at the top there pattern is adding the bottom they are subtracting 2

Answer:

Point A

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given the points (a, c ) and (b, c )

Since the y- coordinates are equal the distance formula simplifies to

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

with x₁ = a and x₂ = b

d = [tex]\sqrt{(b-a)^2}[/tex] = b- a

Answer:

  5

Step-by-step explanation:

Simplify the equation:

  2m -10 = -3m +15

Add 3m

  5m -10 = 15

Add 10

  5m = 25

Divide by 5

  m = 5

Answer:

22

Step-by-step explanation:

5/3=x-4/2

10=x-12

x=22

Answer:

[tex]3 \frac{2}{3}[/tex]

Step-by-step explanation:

5/3 = x - 4/2

5/3 + 4/2 = x

11/3 = x

x = 3 2/3

Answer:

Hi there

Step-by-step explanation:

A linear function is a type of function and so must follow certain rules to be classified as a “function”. For example, functions can only have one output for each input. On the other hand, equations are just statements that make two things equal, like x = y or 52x = 100.

~Your Welcome! :)

Answer:

y=-2/3 x +2

y=-x+2

Step-by-step explanation:

slope intercept form : y=mx+b

first find the slope :

two points from the graph : (0,2) (3,0)

y=b=2 when x=0 y = the constant b

m=(y2-y1)/(x2-x1)

m=0-2/3-0

m=-2/3

question 26: two points from graph: (0,2),(1,1)

b=2 ( when x=0, y=b=2)

m=1-2/1-0

m=-1

Answer:

1) Linear Pair

2) Adjacent

3) Complmentary

4) Vertical

Answer:

[tex]\boxed {\tt 11.6 \ feet}[/tex]

Step-by-step explanation:

The area of a square can be found using the following formula.

[tex]A=s^2[/tex]

We know the area of the patio is 135 square feet. Substitute 135 ft² in for A.

[tex]135 \ ft^2=s^2[/tex]

We want to find the side length. We must isolate the variable, [tex]s[/tex]. on one side of the equation.

s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

[tex]\sqrt{135 \ ft^2} =\sqrt{s^2}[/tex]

[tex]\sqrt{135 \ ft^2} =s[/tex]

[tex]11.61895 \ ft =s[/tex]

Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 6 in the tenth place.

[tex]11.6 \ ft \approx s[/tex]

Each side of the patio is about 11.6 feet.

Answer:

Step-by-step explanation:

J

Answer:

1. 0.9544

2. 0.0228

3. 0.0228

Step-by-step explanation:

The computation is shown below;

As we know that

At Normal distribution

[tex]P(X < A) = P(Z < \frac{(A - mean)}{standard deviation})[/tex]

As per the question, the data provided is as follows

Mean = 24.4 minutes

Standard deviation = 6.5 minutes

Based on the above information

P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)

= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)

= P(Z < 2) - P(Z < -2)

= 0.9772 - 0.0228

= 0.9544

2. P(X < 11.4) = 0.0228

3. P(X ≥ 37.4) = 1 - P(X < 37.4)

= 1 - 0.9772

= 0.0228

Answer: x = 2

OA. The solution is

(Simplify your answer.)

Step-by-step explanation:

Answer:

$1200

Step-by-step explanation:

180 divided by 9 is 20, so they earned $20 per car washed. They want to wash 60 cars, and if they wash 60 cars they would earn $1200. (60 x 20)

Answer:

$1200

Step-by-step explanation:

Our revenue is directly proportional to the number of cars. That means our revenue is increasing at a constant rate, and thus, we are getting the same amount of money per car. That means we can find out how much we get from washing 1 car.

[tex]\frac{180}{9} = 20[/tex]

$20 per car.

If we washed 60 cars, we'd earn 60 * $20:

[tex]60*20 = 1200[/tex]

Answer: $1200

Answer:

6,000 feet

Step-by-step explanation:

Answer:

7212.53, i belive

Step-by-step explanation:

56 x 6.33 = 354.48

91 x 2.85 = 259.35

259.35 + 354.48 = 613.83

1547.76 - 613.83 = 933.93

6278.60 + 933.93 = 7212.53

Answer:4.0 and 6.0

Step-by-step explanation:

Answer:

A+3B=4+5r

Step-by-step explanation:

Given that,

A = 1+r+7r

B = 1-r

We need to find an expression that is equal to A+3B.

Putting the values of A and B in A+3B, we get :

A+3B = 1+r+7r + 3(1-r)

=1+8r+3-3r

=(1+3) +(8r-3r)

=4+5r

Hence, the values of A+3B equals 4+5r.