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eduard
3 years ago
15

Simplify the expression to a polynomial in standard form: (3x – 10)(x2+ 2x - 1 )

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

3 x ^3  −  4 x ^2  −  23 x  +  10

Step-by-step explanation:

hope this helps!

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The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.
podryga [215]

Answer:

x = 12 , y = 10

Step-by-step explanation:

Let x , y are two numbers.

x > y

1 ) Three times the greater is 18 times their

difference

3x = 18( x - y )

x = 6( x - y )

x = 6x - 6y

6y = 5x

y = 5x/6 ——-( 1 )

2 ) 4 times the smaller is 4 less than twice

the sum of the two

4y + 4 = 2 ( x + y )

2y + 2 = x + y

y = x -2 ——( 2 )

From ( 1 ) and ( 2 ) ,

5x/6 = x -2

( 5x /6 ) - x = -2

( 5x - 6x ) /6 = -2

-x = -12

x = 12

Put x = 12 in equation ( 2 ) , we get

y = 12 - 2

y = 10

Therefore ,

x = 12 , y = 10

7 0
3 years ago
If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and
anyanavicka [17]

Answer: 5%

Step-by-step explanation:

The number of employees that took Winter vacation = 75%

The number of employees that took Both winter and summer vacation = 40%

The number that took Neither = 20

The total number of employees (%) =Winter + Summer - Both + Neither = 100%

75%+ Summer - 40%+ 20%= 100%

Solving for Summer = 45%

Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both(i.e. summer overlap with winter) = 45%-40%= 5%

5 0
3 years ago
a rectangular lawn of sides 400m and 300m is surrounded by a path of width 3 m . find the area of path
DiKsa [7]

Answer:

2109 meter squared

Step-by-step explanation:

Area  \: of \:  path  \\ = (400+3)(300+3)-400 \times 300 \\  = 403 \times 303 - 120000 \\  = 122,109 - 120000 \\  = 2109 \:  {m}^{2}

8 0
3 years ago
What is a line graph?
scZoUnD [109]
A line graph, or line chart, shows info as a series of data points that are connected by line segments.
5 0
4 years ago
Each year a scientist measures the water level of a local lake. Negative numbers indicate that the water level is below its hist
STatiana [176]

Answer:

A

Step-by-step explanation:

Because when a decimal is only one number after a zero, it equals ten of whatever number it is. Since 60 is greater than 41 it is -0.6 ( -0.60 ) has more negative value than -0.41.

5 0
3 years ago
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