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3 years ago

Simplify each expression by using the distributive property and combining like terms.

Mathematics

2 answers:

Free_Kalibri [48]3 years ago

5 0

Answer:

2x - 12

Step-by-step explanation:

Fiesta28 [93]3 years ago

4 0

Hello!

So, let's simplify using the distributive property.

Let's look at 3(2x - 4). You want to multiply 3 by every term inside the parentheses.

3*2x = 6x

3*-4= - 12

So now our expression looks like this:

(6x - 12) - 4x

Now we combine like terms. Our only like terms are 6x and -4x.

6x - 4x = 2x. So, our simplified expression is:

2x - 12.

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A line's graph is shown. Write an equation for the line.

MAXImum [283]

Answer:

$y = 1$

Step-by-step explanation:

Given

Attached graph

Required

The graph equation

Pick any two points, we have:

$(x_1,y_1) = (1,1)$

$(x_2,y_2) = (3,1)$

Calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{1 - 1}{3 - 1}$

$m = \frac{0}{2}$

$m = 0$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y = 0* (x - x_1) + 1$

$y = 1$

Hence, the equation is:

$y = 1$

3 0

3 years ago

The length of triangles are consecutive odd integers. The perimeter is 87 cm. What is the length of the longest side.

kirill [66]

X + (x+2) + (x+4) = 87

3x = 81

x = 27

So the longest side is 27+4 = 31

6 0

3 years ago

Read 2 more answers

Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum

Nadusha1986 [10]

Alright, lets get started.

Missing number fom the series : 9, ..... , 6561, 43046721

43046721 is square of its previous number 6561, means

$6561^2 = 43046721$

It means the missing number will be square of its previous number

Means $9^2 = 81$ , so missing number is 81. : Answer

Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

Suppose one number is x and second number is y

As per given equation, $x = 3y + 2$ ......equation (1)

Their sum is 22 means, $x+y = 22$ .......equation (2)

Putting the value of x from equation1 into equation 2

$3y + 2 + y = 22$

$4y + 2 = 22$

Subtracting 2 in both sides

$4y + 2 - 2 = 22 - 2$

$4y = 20$

$y = 5$

$x = 22 - y = 22 - 5 = 17$

Means numbers are 17 and 5. : Answer

Next : the missing number in the series 1, 4, 27,____, 3125 is

1 could be written as 1

4 could be written as $2^2$

27 could be written as $3^3$

So , next number would be $4^4$

$4^4 = 256$

Next one is $5^5 = 3125$

So, the missing number is 256 : Answer

Next : the next number in the series 3, 4, 6, 7, 9, 10 is

After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12. : Answer

Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?

Between 2 plants, the distance is = $3 * (2-1) = 3$

Between 3 plants, the distance is = $3 * (3-1) = 6$

So, between 23 plants, the distance is = $3 * (23-1) = 3 * 22 = 66$

hene the distance between first and last plant woule be 66 feet. : Answer

7 0

3 years ago

Can someone please help me with numbers 3 & 4?

lorasvet [3.4K]

Answer:

number three :2,3,4,6,18 NUMBER FOUR: brother is right cuz even all even numbers have more then 1 factor exept 2 and 4

Step-by-step explanation:

its just right

7 0

3 years ago

Mia buys a watch while visiting her cousin in California. The sales tax in California is 10.25%.

netineya [11]

Answer:

$400

Step-by-step explanation:

Let the watch price be x, then we have:

10.25% of x = 41 or
0.1025x = 41

Solve for x

x = 41/0.1025
x = 400

8 0

3 years ago

Read 2 more answers