10/5 POINTSSSSSS!!!!!

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

Kisachek [45]

<h3>1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2). </h3><h3>TRUE </h3><h3>2. The simplified product is a binomial. TRUE</h3><h3>3. After multiplying, the like terms are combined by adding and subtracting.</h3><h3>TRUE </h3><h3>4. The parentheses are eliminated through multiplication. TRUE</h3><h3>5. The final simplified product is $-28x^2 + 8x - 8$ FALSE</h3>

Step-by-step explanation:

Here, the given expression is :

$F(x) = 3x(x- 12x) + 3x^2-2(x-2)^2$

Now, let us first solve the given expression step wise:

$F(x) = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x) = -32x^2 +8x - 8$

Now, here the given statements are:

1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication. TRUE

5. The final simplified product is $-28x^2 + 8x - 8$ FALSE

As the simplified expression is: $(-32x^2 +8x -8)$

7 0

3 years ago

Alyssa can run 0.75 mile in 35 seconds. About how long will it take her to run 7 miles?

Liono4ka [1.6K]

Answer:

327 Seconds

Step-by-step explanation:

7/.75=28/3

28/3 X 35 = 327 Seconds

8 0

4 years ago

Read 2 more answers

What kind of triangle is this?

Agata [3.3K]

B. As all the sides are different lengths and angle f is bigger than 90 so it is obtuse
Hope this helps

7 0

3 years ago

A pizza parlor offers 10 toppings. How many 3-topping pizzas could they put on their menu? Assume double toppings are not allowe

andreev551 [17]

Using combination and permutation we found out that there are 30240 ways to make varieties of pizza with 3 toppings.

Given 10 toppings

10C3 =10!/3! 7! =120

10P5 =10!/5! =30240 ways

A permutation is a process of placing objects or numbers in order. Combining is the ability to select an object or number from a group of objects or collections such that the order of the objects does not matter.

In mathematics, a combination is the selection of elements from a set with different members, so the order of selection does not matter.

The process or state of binding. Some combination: A combination of ideas. Combined: A chord is a combination of notes. Alliance of Individuals or Parties: Combinations to restrict transactions.

Learn more about combination here: brainly.com/question/11732255

#SPJ4

8 0

2 years ago

Two planes A and B start from the same place and move in different directions making an angle of 50° between them the speed of p

Alika [10]

Answer:

The distance between them is 230.65 miles

Step-by-step explanation:

Here we use the Cosine formula

$a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour$

Now the distance for one hour is

= 230.65 ÷ 1

= 230.65 miles

4 0

3 years ago