1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
JulijaS [17]
3 years ago
12

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

Mathematics
2 answers:
andrew11 [14]3 years ago
8 0

For this case we must simplify the following expression:

-3 (x + 3) ^ 2-3 + 3x

We solve the parenthesis:

-3 (x ^ 2 + 2 (x) (3) + 3 ^ 2) -3 + 3x =\\-3 (x ^ 2 + 6x + 9) -3 + 3x =

We apply distributive property to the terms within parentheses:

-3x ^ 2-18x-27-3 + 3x =

We add similar terms:

-3x ^ 2-18x + 3x-27-3 =\\-3x ^ 2-15x-30

Answer:

-3x ^ 2-15x-30

NNADVOKAT [17]3 years ago
7 0

Answer: -3x^2-15x-30

Step-by-step explanation:

We need to remember that (a\±b)^2=a^2\±2ab+b^2

Knowing this, we can simplify  the expression:

-3(x + 3)^2 - 3 + 3x=-3[x^2+2(x)(3)+3^2]-3+3x=-3[x^2+6x+9]-3+3x

Apply Distributive property:

=-3x^2-18x-27-3+3x

Add like like terms:

=-3x^2-15x-30

Since it has the form ax^2+bx+c, it is already expressed in Standad form.

You might be interested in
There are only 5 blue cards, 2 green cards and 4 red cards in a pack.
Ainat [17]

Answer:

5/11 or 45 percent, since there are 5 blue cards

3 0
3 years ago
The basketball shown is packaged in a box that is in the shape of a cube. The edge length of the box is equal to the diameter of
Roman55 [17]

Answer:

since i dont know what the diameter is ill give you this formula

Step-by-step explanation:

A=6a2            2 means squared     plug the diameter in for lowercase a and solve           brainliest plz

4 0
2 years ago
Can someone please help me find the simple interest
Stells [14]

\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(300)(0.04)(3)\implies I=36

5 0
3 years ago
Part A
labwork [276]

An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>required</em> answers are:

i. Distance from Chenoa's <u>house</u> to the <em>coffee shop</em> = 6.0 miles

ii. D<u>istance</u> from <em>coffee shop</em> to Chenoa's <u>school</u> = 1.5 miles

iii. <em>Distance</em> from Chenoa's <u>house</u> to her <u>school</u> = 7.5 miles

An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>alphabet</em> is referred to as the <u>unknown</u> whose <u>value</u> has to be <em>determined</em>.

In the given question, let the <u>distance</u> from the <em>coffee shop</em> to Chenoa's <u>school</u> be represented by y.

So that;

The <u>distance</u> from Chenoa's house to the <em>coffee shop</em> = (2y + 3) miles.

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school </u>= 5y.

This implies that:

(2y + 3) + y = 5y

3y + 3 = 5y

3 = 5y - 3y

2y = 3

y = \frac{3}{2}

  = 1.5

The <em>distance</em> from the <em>coffee shop</em> to Chenoa's <u>school</u> is 1.5 miles.

Thus;

(2y + 3) = ( 2(1.5) + 3)

            = 6

The <u>distance</u> from Chenoa's <u>house</u> to the <em>coffee shop</em> is 6 miles.

And,

5y = 5(1.5)

    = 7.5

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school</u> is 7.5 miles.

For more clarifications on algebraic expressions, visit: brainly.com/question/12792264

#SPJ1

5 0
2 years ago
What is 6[4x(72-63)/3]
Fed [463]
648 Im pretty sure if not let me know
3 0
3 years ago
Other questions:
  • PLEASE HELP!! DUE REALLY SOON (LINK)
    11·2 answers
  • 4 teachers share 3 gallons of paint. How much paint does each teacher get?
    8·2 answers
  • What is the variance of the following data? If necessary, round your answer to two decimal places.12, 13, 8, 13, 9, 11, 12, 9, 1
    15·1 answer
  • 38 plus 22 times 36
    7·2 answers
  • Jack gives half of his baseball card collection to Bobby. He then loses 5 of his remaining cards. He now has 13 baseball cards.
    8·1 answer
  • What is the circumference of the semicircle
    13·2 answers
  • Add the polynomials. <br><br> 1. (-4x^2+2x+6)+(5x^2-x+10)<br><br> 2. (5x^2-9x+2)+(-3x^2+2x+4)
    12·1 answer
  • Write an expression that represents the perimeter of the triangle.
    12·1 answer
  • Natalia has $54. She earns some money. She spends $37. Natalia ha 62 left. how much did she earn​
    15·1 answer
  • What is the resolution war about?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!