answer.
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
MAVERICK
9 days ago
5

Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the dif

ference. 1. (–3x3 + 5x2 + 4x – 7) + (–6x3 + 2x – 3) 2. (–3x3) + 5x2 + 4x + (–7) + (–6x3) + 2x + (–3) 3. [(–3x3) + (–6x3)] + [4x + 2x] + [(–7) + (–3)] + [5x2] 4. –9x3 + 6x + (–10) + 5x2 5. –9x3 + 5x2 + 6x – 10
Mathematics
2 answers:
Inessa [3.9K]9 days ago
7 0
To simplify the expression:
-(6 x^3 - 2 x + 3) - 3 x^3 + 5 x^2 + 4 x - 7

Start with - (6 x^3 - 2 x + 3) = -6 x^3 + 2 x - 3:
-6 x^3 + 2 x - 3 - 3 x^3 + 5 x^2 + 4 x - 7

Next, combine similar terms: -3 x^3 - 6 x^3 + 5 x^2 + 4 x + 2 x - 7 - 3 = (-3 x^3 - 6 x^3) + 5 x^2 + (4 x + 2 x) + (-7 - 3):
(-3 x^3 - 6 x^3) + 5 x^2 + (4 x + 2 x) + (-7 - 3)

-3 x^3 - 6 x^3 results in -9 x^3:
-9 x^3 + 5 x^2 + (4 x + 2 x) + (-7 - 3)

Combine 4 x and 2 x to get 6 x:
-9 x^3 + 5 x^2 + 6 x + (-7 - 3)

The operation -7 - 3 yields -10:
-9 x^3 + 5 x^2 + 6 x - 10

Factoring out -1 from -9 x^3 + 5 x^2 + 6 x - 10 leads to:
Final Answer: - (9 x^3 - 5 x^2 - 6 x + 10)
zzz [4K]9 days ago
6 0

Step-by-step Breakdown:

We begin by subtracting 6x^3-2x+3\ from\ -3x^3+5x^2+4x-7

1.  (-3x^3+5x^2+4x-7)-(6x^3-2x+3)

2.  Applying the negative sign in the second bracket and listing all terms separately

(-3x^3) + 5x^2 + 4x + (-7) + (-6x^3) + 2x + (-3)

3. Merging terms that are alike

[(-3x^3) + (-6x^3)] + [4x + 2x] + [(-7) + (-3)] + [5x^2]

4. Summing the terms with identical x powers

-9x^3 + 6x + (-10) + 5x^2

5. Organizing the terms from highest to lowest powers of x

-9x^3 + 5x^2 + 6x - 10

You might be interested in
Cameras R Us has a sale for 25% off camera bags, which is a discount of $20. Explain how you can set up a diagram to find the or
Zina [3914]

Answer:

Example Response: The diagram ought to consist of five columns; one for each 25% segment and an additional one for the total, since 25% represents 1

4

of 100%. There should be 2 rows, one designated for percentages and another for dollar figures.

Step-by-step explanation:

Edg2020

8 0
6 days ago
Read 2 more answers
I have 30 ones, 2 thousands, 4 hundred thousands,60 tens and 100 hundreds. What number am I?
zzz [4022]
Answer
The resultant number is 412630
6 0
4 days ago
Paula is painting a henhouse. If a can of paint will cover 24 square feet, how many cans of paint does she need to buy? Explain
Inessa [3907]
To determine how many cans of paint Paula requires, first find out the coverage area for one can. After that, divide 24 square feet by the coverage area of the paint can to calculate the number of cans needed.
0 0
6 days ago
5 Show different ways to make 492,623.
zzz [4022]

Step-by-step explanation:

Begin with expressing 492,623 in standard form.

4 hundred thousands + 9 ten thousands + 2 thousands + 6 hundreds + 2 tens + 3 ones.

We can rephrase this in varied forms by shifting a digit to the next lower place value. For instance, shifting the 4 one place right results in 49 ten thousands:

49 ten thousands + 2 thousands + 6 hundreds + 2 tens + 3 ones.

Next, we can move 49 ten thousands one place right to express it as 492 thousands, and shift 6 hundreds right to yield 62 tens.

492 thousands + 62 tens + 3 ones.

Alternatively, we can phrase it as:

4926 hundreds + 23 ones.

6 0
3 days ago
A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a
Leona [4166]

Answer:

720 formas posibles

Explicación paso a paso:

La medalla de oro se otorga al primer lugar, la medalla de plata al segundo lugar y la medalla de bronce al tercero.

Cualquier corredor entre los 10 puede ocupar la primera posición.

La segunda posición puede ser ocupada por los 9 corredores restantes.

Mientras que la tercera posición puede ser ocupada por los 8 corredores que quedan.

Por lo tanto, el número de formas en que se pueden otorgar estas medallas es = 10 * 9 * 8 = 720 formas.

3 0
11 days ago
Other questions:
  • On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1),
    7·2 answers
  • Which of the following describes the graph of y = StartRoot negative 4 x minus 36 EndRoot compared to the parent square root fun
    10·2 answers
  • Mike's Bikes has mountain bikes that usually sell for $275 on sale for $220. Mike used this ratio to find the percent change. Is
    6·2 answers
  • You are asked to bake muffins for a breakfast meeting. Just as you are about to start making them, you get a call saying that th
    10·1 answer
  • Will works 7 hours a day, 6 days a week.
    15·1 answer
  • Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y
    12·1 answer
  • Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random
    7·1 answer
  • give me 3 pictures showing the application of the sum and the product of the roots of quadratic equations in real life . describ
    9·2 answers
  • Stackable polystyrene cups have a height h1=12.5 cm. Two stacked cups have a height of h2=14 cm. Three stacked cups have a heigh
    8·2 answers
  • For every 1 litre of water used to make a medicine, 300 ml of sucrose and 750ml of saline solution are used. Express the amount
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!