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saw5 [17]
3 years ago
11

HELP ASAP!!! HELP FAST PLEEASE!!!

Mathematics
2 answers:
never [62]3 years ago
8 0

Answer:

(d.) 18x^3-27x^2y

Step-by-step explanation:

When given the following equation,

(3x)^2(2x-3y)

Systematically perform the operations. Use the order of operations, the order of operations states the following,

1. Parenthesis

2. Exponents/ radicals

3. Multiplication/ Division

4. Addition/ Subtraction

Remember, when performing an exponential operation, one multiplies the base by itself the number of times the exponent indicates. In the given equation, perform the exponent by multiplying the base (3x) by itself twice.

(3x)^2(2x-3y)\\\\(3x)(3x)(2x-3y)\\\\(9x^2)(2x-3y)

Now distribute, multiply every term inside the parenthesis by the term outside of it

(9x^2)(2x-3y)\\\\(9x^2)(2x) + (9x^2)(-3y)\\

Simplify,

18x^3-27x^2y

Therefore the solution is (d.) 18x^3-27x^2y

SCORPION-xisa [38]3 years ago
4 0

Answer:

d. 18x^3-27x^2y

Step-by-step explanation:

(3x)^2(2x-3y)

work out the first term

9x^2(2x-3y)

distribute

18x^3-27x^2y

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If the perimeter of a rectangle is 124cm & the width is 35cm, what is the length?
-BARSIC- [3]

Answer:

l=27

b=2×35=70

2l=124-70=54

l=54/2=27

6 0
2 years ago
Let f and g be functions given by f(x)=x^3 and g(x)=x^2 lxl
adell [148]
I post an image instead.
Correction: g(3)=(3²)|3|=9(3)=27

4 0
3 years ago
Show work on how you converted them. (also marking brainliest) <3
Dmitry_Shevchenko [17]

Answer:

1. 5700mg

2. 1000cm

3. 0.0453m

4. 37.5 kg/L

Step-by-step explanation:

1. 1gram (g) =1000milligrams(mg)

5.70×1000=5700mg

2. 1 m= 100cm

10×100=1000cm

3. 1000mm=1m

45.3/1000=0.0453m

4. 1000g=1kg

37.5/1000=0.0375

1000ml=1L

1ml= 1/1000= 0.001L

0.0375/0.001= 37.5 kg/L

8 0
3 years ago
A taxi charges a pick-up fee p!us a charge per mile. Maria paid $15.00 for a 7 mile rode. To my paid $19.50 for a 10 mile ride.
lukranit [14]

Answer:

The y-intercept in coordinate form is (0, 4.5) and represents the taxi pick-up fee.  The equation is y=1.5x + 4.5.

Step-by-step explanation:

This question is asking for the slope and y-intercept of a linear equation.  A linear equation makes a straight line based on a constant rate of change.  For this problem, the cost per mile is the slope, while the independent variable 'x' is the number of miles and the dependent variable 'y' is the total cost.  In order to first find slope, you need to use the two points given (7, 15) and (10, 19.5) to set up a change in y / change in x, or (19.5-15)/(10-7) or 4.5/3 which is 1.5.  So the slope, or cost per mile is $1.50.  To find the y-intercept (b), or the cost of the pick-up fee, simply fill in your equation y=1.5x + b with your other variables and solve for 'b'.  So, 15 = (1.5 x7) + b.  or 15 = 10.5 +b, subtract 10.5 from both sides of the equation to get b=4.5.  

5 0
3 years ago
Write an algebraic equation based on the description. Two angles form a linear pair. The measure of one angle is 24° more than t
IgorC [24]
<h2><u>Answer:-</u></h2>

Given:

Two angles form a linear pair.

It means sum of their measures = 180°.

And,

Measure of one angle is 24° greater than the other.

Let the other angle be x.

→ First angle = (x + 24)

According to the question,

<h3>→ x + x + 24 = 180</h3>

→ 2x = 180 - 24

→ 2x = 156

→ x = 156/2

<h3>→ X = 78°</h3>

<u>There</u><u>fore</u><u>,</u>

  • 1st angle = 78°
  • 2nd angle = 78° + 24° = 102°

4 0
3 years ago
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