How do you factor 2n^2+3n-9

Answers

Answer 1
Answer: Find the factors that multiply to give 2n^2 and -9 but add to give 3n.
2n and n give 2n^2
-3 and 3 give -9
2n*3=6n ... (1)
n*(-3)=-3n ... (2)
(1)+(2)=3n
Group the factors that do not have an effect/interaction to each other from the above.
That is, 2n and -3, and n and 3

2n^2+3n-9=(2n-3)(n+3)

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Find the mode of the data set: 37, 42, 39, 44, 47, 38, 42, 45, 49, 35

Answers

The integer number 42 appears two times in a collection of the data. Then the mode of the data set will be 42.

What is the mode of the data?

Simply counting how several times each number looks in the data set can help you identify the mode, which is the integer that repeats the most frequently in the collected data. The figure with the largest total is the mode.

The data is given below.

37, 42, 39, 44, 47, 38, 42, 45, 49, 35

Arrange the data in ascending order, then we have

35, 37, 38, 39, 42, 42, 44, 45, 47, 49

The integer number 42 appears two times in a collection of the data. Then the mode of the data set will be 42.

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Answer:

mode = 42

Step-by-step explanation:

The mode is the value which occurs most often in the data set.

42 occurs twice, others only once, thus

mode = 42

Express the number in polar form 4 - 4i

Answers

Polar form of a complex number is r( cos(theta) + i sin(theta) )
r is equal to the total distance created by the rectangular coordinates of the complex number
r = Root(4^2 + (-4)^2) = Root(32) = 4 Root(2)
To find theta, if a > 0, use arctan(b/a), where:
a = the first number
b = the second number
arctan (-4/4) = -45 degrees (-0.7854 radians)
Your answer is 4 Root(2) (cos(-45) + i sin(-45))

PLEASE HELP ME WITH THIS 17 points!! PLEASEEEE IM BEGGING YOU!!!

Answers

Answer:

x = 2

Step-by-step explanation:

Step 1: Convert to math

5x + 1 = 3x + 5

Step 2: Solve for x

  1. Subtract 4x on both sides: 2x + 1 = 5
  2. Subtract 1 on both sides: 2x = 4
  3. Divide both sides by 2: x = 2

Step 3: Check

Plug in x to verify it's a solution.

5(2) + 1 = 3(2) + 5

10 + 1 = 6 + 5

11 = 11

Answer:

2

Step-by-step explanation:

there are 5 x's and 1 positive one of the left side, and 3 x's and five positive one's on the right side. when you put this into an equation, you get:

5x+1 = 3x+5

the first step to solving the equation is to subtract 3x from both sides:

5x+1 -3x = 3x+5 -3x

2x+1 = 5

next, subtract 1 from both sides:

2x+1 -1 = 5 -1

2x=4

finally, divide both sides by 2:

2x ÷2 = 4 ÷2

x=2

and the answer is: 2

the perimiter of a parallelogram is 72 meters the width of the paralleogram is 4 meters less than its length. find the length and width of the parallelogram.

Answers

Answer:

length = 20 m

width = 16m

Step-by-step explanation:

The answer to this would be
Length 20
Width 15

The velocity v that an object r unitsfrom Earth's center must have in
order to escape Earth's gravity is
given by v2 = 2GM, where G is a
constant. Solve for the object's
mass M.

Answers

Earth's gravity for the object's mass M is M = (v^(2) )/(2G).

Here,

The velocity v that an object r units from Earth's center must have in order to escape Earth's gravity is given by,

v^(2) = 2GM

We have to find, Earth's gravity for the object's mass M.

What is Velocity?

The distance covered by a body in a unit time in a particular direction is called velocity.

Now,

Earth's gravity is given by,

v^(2) = 2GM

In terms of mass M,

M = (v^(2) )/(2G).

So, Earth's gravity for the object's mass M is M = (v^(2) )/(2G).

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Answer:

M=v^2r / 2G

Step-by-step explanation:

Open the file, it is solved for you, your welcome.

Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express the product as a decimal rounded to the nearest tenth.

Answers

Answer:

19.2

Step-by-step explanation:

1st Case:

4 and 5 are legs of the right triangle.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+5^2=x^2

16+25=x^2

41=x^2

x=√41

√41 is about 6.4

x=6.4

2nd Case

5 is the hypotenuse of the right triangle and 4 is the legs.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+x^2=5^2

16+x^2=25

x^2=9

x=3

Final Step

We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2

Anwser: 19.2