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scZoUnD [109]
3 years ago
9

Simplify. -3(-3a)(6b)

Mathematics
2 answers:
Ber [7]3 years ago
3 0
It is 54ab or it is 9a 6b
Valentin [98]3 years ago
3 0
9a+-18b hope this helps. And I'm sorry if I'm to late to answer this XD
You might be interested in
Determine whether each equation below does or does not represent a proportional relationship. support your answer using either a
Triss [41]

Answer:

  • As the ratio for all the points on the equation y = x is same. Hence, the equation y = x REPRESENTS a proportional relationship.
  • As the ratio for all the points on the equation y = x+2 is not same. Hence, the equation y = x + 2 DOES NOT REPRESENT a proportional relationship.

Step-by-step explanation:

                                        <u><em>Solving equation A: y = x </em></u>

Let us consider the given equation A:

                                                      y = x

  • Putting x = 1 in y = x

y = x

y = 1    ∵ x = 1

Hence, (1, 1) is the ordered pair of  y = x

  • Putting x = 2 in y = x

y = x

y = 2    ∵ x = 2

Hence, (2, 2) is the ordered pair of  y = x

  • Putting x = 3 in y = x

y = x

y = 3    ∵ x = 3

Hence, (3, 3) is the ordered pair of  y = x

  • Putting x = 4 in y = x

y = x

y = 4    ∵ x = 4

Hence, (4, 4) is the ordered pair of  y = x

  • Putting x = 5 in y = x

y = x

y = 5    ∵ x = 5

Hence, (5, 5) is the ordered pair of y = x

Lets us consider all the ordered pairs i.e. (1, 1), (2, 2), (3, 3), (4, 4) and (5, 5) to make a table for y = x.

<em>y                 x</em>

1                  1

2                 2

3                 3

4                 4

5                 5

As from the table, lets take the ratio of every point i.e. y/x

  • For (1, 1), the ratio will be y/x ⇒ 1/1 = 1
  • For (2, 2), the ratio will be y/x ⇒ 2/2 = 1
  • For (3, 3), the ratio will be y/x ⇒ 3/3 = 1
  • For (4, 4), the ratio will be y/x ⇒ 4/4 = 1
  • For (5, 5), the ratio will be y/x ⇒ 5/5 = 1

Hence, the ratio for all the points on the equation y = x is same. Hence, the equation y = x REPRESENTS a proportional relationship. Please also check the graph in attached<em> figure a.</em>

                                          <u><em>Solving equation A: y = x +2</em></u>

Let us consider the given equation A:

                                                         y = x + 2    

  • Putting x = 1 in y = x + 2

y = x + 2

y = 1 + 2 ⇒ 3  ∵ x = 1

Hence, (1, 3) is the ordered pair of y = x + 2

  • Putting x = 2 in y = x + 2

y = x + 2

y = 2 +2 ⇒ 4   ∵ x = 2

Hence, (2, 4) is the ordered pair of y = x + 2

  • Putting x = 3 in y = x + 2

y = x + 2

y = 3 + 2 ⇒ 5    ∵ x = 3

Hence, (3, 5) is the ordered pair of  y = x + 2

  • Putting x = 4 in y = x + 2  

y = x + 2  

y = 4 + 2 ⇒ 6   ∵ x = 4

Hence, (4, 6) is the ordered pair of  y = x + 2

  • Putting x = 5 in y = x + 2

y = x + 2

y = 5 +2 ⇒ 7    ∵ x = 5

Hence, (5, 7) is the ordered pair of y = x + 2

Lets us consider all the ordered pairs i.e. (1, 3), (2, 4), (3, 5), (4, 6) and (5, 7) to make a table for y = x + 2.

<em>y                 x + 2</em>

1                  3

2                 4

3                 5

4                 6

5                 7

As from the table, lets take the ratio of every point i.e. y/x

  • For (1, 3), the ratio will be y/x ⇒ 3/1 = 3
  • For (2, 4), the ratio will be y/x ⇒ 4/2 = 2
  • For (3, 5), the ratio will be y/x ⇒ 5/3 = 5/3
  • For (4, 6), the ratio will be y/x ⇒ 6/4 = 3/2
  • For (5, 7), the ratio will be y/x ⇒ 7/5 = 7/5

Hence, the ratio for all the points on the equation y = x+2 is not same. Hence, the equation y = x + 2 DOES NOT REPRESENT a proportional relationship. Please also check the graph in attached<em> figure a.</em>

<em>Keywords: equation, graph</em>

<em> Learn more equation and graphs from brainly.com/question/12767017</em>

<em> #learnwithBrainly</em>

6 0
2 years ago
To save for a new car, Trafton invested $3,000 in a savings account that earns 5.5% interest, compounded continuously. After fou
Law Incorporation [45]

Answer:

He will make $165 every year.

3000 + 165(4) = 3660 (this is his total amount)

He will need 4000 - 3660 = $340

<u><em>He will need an Additional $340.</em></u>



4 0
2 years ago
How to solve simliar triangles
8090 [49]

Answer:

there is a formula to solve simlar triangle

Step-by-step explanation:

Ratios and properties-similar figures -In depth.if two object have same shape they are called similar.When two figure are similar,The ratios of the length of their corresponding sides are equal.To determine if the triangle shown are similar,Compare their corresponding sides.

7 0
3 years ago
How to find compound rate from given values, 10 years after, and initial
dybincka [34]

The formula that calculates the compound rate from the given values is r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})

<h3>How to determine the compound interest rate?</h3>

The compound interest formula is:

I = P(1 + \frac rn)^{nt} - P

Where:

  • P represents the principal amount
  • r represents the compound interest rate
  • n represents the number of times the interest is compounded
  • t represents the time in years
  • I represents the interest

We start by adding P to both sides

P + I = P(1 + \frac rn)^{nt}

Divide through by P

\frac{P + I}{P} = (1 + \frac rn)^{nt}

Take the nt-th root of both sides

\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn

Subtract 1 from both sides

-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn

Multiply through by n

r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})

In this case, t = 10

So, we have:

r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})

Hence, the formula that calculates the compound rate is r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})

Read more about compound interest at:

brainly.com/question/13155407

#SPJ1

3 0
1 year ago
If you saved 20% of the total cost and the regular price is $30 how much did you save
zalisa [80]
(20×30)÷100= 6$ is how much you saved
7 0
3 years ago
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