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juin [17]
2 years ago
10

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

Mathematics
1 answer:
777dan777 [17]2 years ago
7 0

-3(x^{2} +5x+10) is the standard form of the given expression

The given expression is:

=-3(x+3)^{2} -3+3x\\\\=-3*(x^{2} +2*3*x+3^{2} )-3+3x\\\\=-3x^{2} -3*6x-3*9-3+3x\\\\=-3x^{2} -18x-27-3+3x\\\\=-3x^{2} -15x-30\\\\=-3(x^{2} +5x+10)

This is the standard form of the given expression.

Learn more about Simplifying expression here brainly.com/question/723406

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The coordinate −6 has a weight of 3, and the<br> coordinate 2 has a weight of 1
Damm [24]

The weight average of the coordinates is -4

<h3>How to determine the weight average?</h3>

The complete question is given as:

The coordinate -6 has a weight of 3 and the coordinate 2 has a weight of 1. And we need to calculate the weight average

The given parameters are:

  • Coordinate -6 has a weight of 3
  • Coordinate 2 has a weight of 1.

The weight average is then calculated as:

Weight average = Sum of (Weigh * Coordinate)/Sum of Weights

So, we have:

Weight average = (-6 * 3 + 2 * 1)/(3 +1)

Evaluate the products

Weight average = (-18 + 2)/(3 +1)

Evaluate the sum

Weight average = -16/4

Evaluate the quotient

Weight average = -4

Hence, the weight average of the coordinates is -4

Read more about average at

brainly.com/question/20118982

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<u>Complete question</u>

The coordinate -6 has a weight of 3 and the coordinate 2 has a weight of 1. Calculate the weight average

4 0
2 years ago
Which of the following equations is of a parabola with a vertex at (3, 0)?
bixtya [17]

Answer:

D. y = (x - 3)²

Step-by-step explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient <em>a</em> is equal to one. Therefore:

y = (x - 3)²

7 0
3 years ago
Can someone please help me with this question ASAP
Lana71 [14]

Answer:

  • x - 7.31 ≤ 10
  • x ≤ 17.31

Step-by-step explanation:

let x = the amount of money in the second piggy back

We assume that the second piggy bank has MORE than the piggy bank with $7.31 in it:

x - 7.31 ≤ 10

<u>Solution</u>

Add 7.31 to both sides:  x - 7.31 + 7.31 ≤ 10 + 7.31

                                                       ⇒ x ≤ 17.31

8 0
2 years ago
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the p
Allisa [31]

Step-by-step explanation:

Given

q + p = 2(q - p)

as equation 1.

I used q-p as the difference as logically the woman will be older than her son.

Also given,

qp = 675

as equation 2.

Using equation 2,

q =  \frac{675}{p}

substitute this equation into equation 1.

\frac{675}{p}  + p = 2( \frac{675}{p}  - p) \\  \frac{675}{p}  + p =  \frac{1350}{p}  - 2p \\  \frac{675}{p}   -  \frac{1350}{p}  =  - 2p - p \\  - 3p =  -  \frac{675}{p}  \\    - 3p \times p =  - 675 \\  - 3 {p}^{2}  =  - 675 \\  {p}^{2}  =  - 675 \div  - 3 \\  {p}^{2} = 225 \\ p =  \sqrt{225}   \\  = 15

Substitute P into equation 2.

15q = 675 \\ q = 675 \div 15 \\  = 45

Therefore the woman is 45 years old while her son is 15 years old.

3 0
3 years ago
3 1/4 hours convert to minutes
3241004551 [841]

Answer:

465 minutes

Step-by-step explanation:

HOPE IT HELPS

HAVE A GOOD DAY

8 0
2 years ago
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