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3 years ago

Simplify the expression (x - 2y) + (3x + 4y)

Mathematics

1 answer:

CaHeK987 [17]3 years ago

8 0

Simplifying the expression (x - 2y) + (3x + 4y).

Work:

(x - 2y) + (3x + 4y)

Combine like terms.

x + 3x = 4x

-2y + 4y = 2y

Reform the expression.

4x + 2y

Simplified Expression: 4x + 2y.

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26. The cost of a television set has increased continuously by 2%. In 1999, the average

RUDIKE [14]

Answer:

The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Cost of the TV set in 1999 = US$ 400

Annual increase rate = 2% = 0.02

2. Write an exponential model to represent this data.

Cost after n years = Cost in 1999 * (1 + r)ⁿ

where r = 0.02 and n = the number of years since 1999

Replacing with the real values for 2020, we have:

Cost after 21 years = 400 * (1 + 0.02)²¹

Cost after 21 years = 400 * 1.5157

Cost after 21 years = $ 606.28

The TV set costs $ 606.28 in 2020.

The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ

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4 years ago

A minor league baseball team plays 97 games in a season. If the team won 17 more than three times as many games as they lost, ho

MAVERICK [17]

They won 77 games and lost 20

6 0

3 years ago

If x is equal to -6 which equality is true

Papessa [141]

Answer:

-5 - 3x > 10

Step-by-step explanation:

x = -6

Plug in the x value for each inequality:

-5 - 3(-6) > 10

-5 + 18 > 10

13 > 10

True

-3 - 5(-6) < -14

-3 + 30 < -14

27 < -14

False

1 - 2(-6) > 13

1 + 12 > 13

13 > 13

False

2 - (-6) < -3

2 + 6 < -3

8 < -3

False

Only one of these is true; that is the answer.

8 0

3 years ago

The perimeter of this triangle is 25 units. An angle bisector divides one side of the triangle into lengths of 2 and 3. Find the

grin007 [14]

Answer:

8 and 12

Step-by-step explanation:

Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means

AC/AB = CD/BD = 2/3

The perimeter is the sum of the side lengths, so is ...

25 = AB + BC + AC

25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.

20 = 5/3·AB

12 = AB

AC = 2/3·12 = 8

_____

Alternate solution

The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.

That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).

Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).

The remaining sides of the triangle are AB=12 and AC=8.