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3 years ago

What property or properties prove (2x)(3y)(4z)=24xyz

Mathematics

1 answer:

kobusy [5.1K]3 years ago

7 0

Answer:

Associative

Step-by-step explanation:

3 x 4 =12 and 12 x 2 =24

Since there aren't any exponents the x,y, and z gets added together giving you 24 xyz

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ANSWER ASAP PLS<br><br>What is the range of f(x)?<br>

Lunna [17]

Answer:

Step-by-step explanation:

The range of a function are the possible y-values (output values).

Options A and B are wrong, because the x-values are the input values.

The range is between -5 and -1 as shown in the graph (y-axis). The circle on the points are shaded so ‘≤’ is correct. Option C is wrong.

The range is greater than or equal to -5 and less than or equal to -1.

3 0

3 years ago

A triangle has a perimeter of 90 centimeters write and use a linear system

lawyer [7]

We are given sides of the triangle by expression

First side : n

Second side : m = 5n-5.

Third side : l = 5/4 m - n.

Perimeter is 90.

Therefore, first equation could be set :

n +m +l = 90 --------------equation(1)

Second equation would be

m = 5n-5 --------------equation(2)

Third equation would be

l = 5/4 m - n --------------equation(3)

Let us solve the system of equations by substitution.

Substituting m = 5n-5 and l = 5/4 m - n in first equation.

We get

n +5n-5 +5/4 m - n= 90

Now, substituting m = 5n-5 in above equation we get

n +5n-5 +5/4 (5n-5) - n= 90

5n + 25n/4 -5 - 25/4 =90

5n + 6.25n -5-6.25 = 90.

11.25n-11.25 = 90

Adding 11.25 on both sides, we get

11.25n-11.25+11.25 = 90+11.25

11.25n = 101.25.

Dividing both sides by 11.25, we get

n=9.

Plugging n=9 in 2nd equation.

m = 5(9)-5 = 45 -5 = 40.

Plugging n=9 and m=40 in first equation, we get

9 +40 +l = 90

49 +l = 90.

Subtracting 49 from both sides, we get

49-49 +l = 90-49

l = 41.

Therefore, sides are of lengths l = 41, m= 40 and n=9.

5 0

3 years ago

Help me out pleaseee

spayn [35]

Answer:

Option B is the correct choice.

Step-by-step explanation:

The graph is attached below.

We have to find the $x$ intercept meaning the value of the point on $x-axis$ when $y=0$

So we will put the value of zero $(0)$ instead of $y$ in our given equation.

So here we have solved it algebraically.

$y=\frac{3}{4}x-3$

Putting $y=0$

$0=\frac{3}{4}x-3$

$0=\frac{3x-12}{4}$

Multiplying $4$ both sides.

$0=3x-12$

Adding $12$ both sides.

$12=3x$

Dividing with $3$ both sides.

$x=\frac{12}{3}=4$

So the x-intercept of the given equation is $4$ which can be written as $(4,0)$ in terms of coordinates.

Option B $(4,0)$ is the correct choice.

8 0

3 years ago

What is the answer to 2x to the power of 2 +x +1=0

KonstantinChe [14]

Answer:

x=-1

Step-by-step explanation:

x+1=0(squared).

x+1=0 (anything raise to the power 0 is 0

collect like terms =x=-1

therefore x=-1

4 0

3 years ago

Which ordered pairs are solutions to the inequality 2x + y > 8 ? Choose all answers that are correct.

gtnhenbr [62]

Hi again!

2x + y > 8

The correct answer is option D
-------------------------------------------

Honestly I don't think we can solve the equation to find the answer. What we can do is to find the boundary line. (I think you know what that is) After that, shading the appropriate area.

y > -2x + 8

Again, credit to my beautiful graphing calculator. Here is how it looks like.

6 0

3 years ago