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Phantasy [73]
1 year ago
10

What is the sum of the polynomials? (7x3 – 4x2) + (2x3 – 4x2)

Mathematics
1 answer:
AnnZ [28]1 year ago
3 0

Answer:

9x3 – 8x2

Step-by-step explanation:

Simplify signs:

 

8x2 - 5x3 - 4x2 + 9x3

 

Combine like terms:

 

(8x2 - 4x2) + (9x3 - 5x3)

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Sasha is bisecting a segment. First, she places the compass on one endpoint, opens it to a width larger than half of the segment
FrozenT [24]

Answer:

A) Swing arcs on both sides to intersect the first two arcs created.

Step-by-step explanation:

Bisecting a segment is cutting a line into two equal parts with a line bisector.

The steps involved are;

  • Placing a compass on one endpoint
  • Opening the compass to a width larger than half of the segment
  • Swinging an arc on either side of the segment
  • While maintaining the same width, place the compass on the other endpoint
  • Swing arcs on both sides of the segment to intersect the first two arcs created
  • Using a ruler placed at the points of intersection of the arcs, draw the line bisector.

Sasha was now at step four.

7 0
2 years ago
Read 2 more answers
If Angle 6 is congruent to angle 10 and Angle 5 is congruent to angle 7, which describes all the lines that must be parallel? Li
Nina [5.8K]

Answer:

Third option: Lines "r" and "s" and lines "t" and "u" must be parallel.

Step-by-step explanation:

The missing figure is attached.

You need to remember that:

1- A Transversal is defined as a line that intersects two or more lines.

2- When a transversal cut two parallel lines, several angles are formed, which are grouped in pairs. Some of them are:

a. Vertical angles: are those pairs of angles that share the same vertex and are opposite to each other. These angles are congruent.

b. Corresponding angles: are those  pairs of non-adjacent angles located on the same side of the transversal and outside the parallel lines. They are congruent.

In this case, you can identify in the figure that:

 \angle 6 and \angle 10 are Corresponding angles.

\angle5 and \angle 7 are Vertical angles.

Therefore, based on the explained before, you can conclude that lines "r" and "s" and lines "t" and "u", must be parallel.

7 0
1 year ago
Read 2 more answers
A forest ranger wants to install a 1,500 CFM (cubic feet per minute) fan. A ranger station consists of a rectangular prism and a
levacccp [35]
Sample response: <span>Yes, the fan will provide enough airflow. The volume of the ranger station is 720 cubic feet. The ranger station requires a 720 CFM fan. 1,500 CFM is greater than 720 CFM, so it will be enough airflow.</span>
6 0
2 years ago
Read 2 more answers
HELP PLEASE. Which regression equation best fits these data?
AlladinOne [14]

Answer:

B. y = -0.58x^2 -0.43x +15.75

Step-by-step explanation:

The data has a shape roughly that of a parabola opening downward. So, you'll be looking for a 2nd-degree equation with a negative coefficient of x^2. There is only one of those, and its y-intercept (15.75) is in about the right place.

The second choice is appropriate.

_____

The other choices are ...

A. a parabola opening upward

C. an exponential function decaying toward zero on the right and tending toward infinity on the left

D. a line with negative slope (This might be a good linear regression model, but the 2nd-degree model is a better fit.)

7 0
2 years ago
Read 2 more answers
You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr
Angelina_Jolie [31]

Answer:

5,340

Step-by-step explanation:

Hi there:)

Amount invested in stock

=5000×0.6=3000

Amount invested in a saving account

5000-3000=2000


The stock increases 9% in the first year

3,000×(1+0.09)=3,270

and loses 4% of its value the second year

3,270×(1−0.04)=3,139.2

Amount of a saving account after two years

2,000×(1+0.049)^(2)=2,200.8


the total amount gained during the 2 years

3,139.2+2,200.8=5,340...answer


Hope it helps




8 0
2 years ago
Read 2 more answers
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