consider the sequence -5,1,7,13,19,25 write a recursive definition and a general formula for this sequence

Answer: (2x - 5) • (4x - 1)

STEP 1 : Equation at the end of step 1

(23x2 - 22x) + 5

STEP 2 : Trying to factor by splitting the middle term

2.1 Factoring 8x2-22x+5

The first term is, 8x2 its coefficient is 8 .

The middle term is, -22x its coefficient is -22 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40

Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .

-40 + -1 = -41

-20 + -2 = -22 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2

8x2 - 20x - 2x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (2x-5)

Add up the last 2 terms, pulling out common factors :

1 • (2x-5)

Step-5 : Add up the four terms of step 4 :

(4x-1) • (2x-5)

Which is the desired factorization

Final result : (2x - 5) • (4x - 1)

Answer:

The anwser is 6.01176470588

Answer:

Step-by-step explanation:

(2x - 4)(-3x -4)

-6x^2 - 8x + 12x + 16

-6x^2 + 4x + 16

the answer is would have to be 900

The measure of the missing angle in the similar trapezoid is 90°.

In the given trapezoid the measure of angles are 90°, 115°, 90° and 65°.

Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.

Given that, the two trapezoids are similar

Here, the measure of the missing angle in the other trapezoid is 90°

Therefore, the measure of the missing angle in the similar trapezoid is 90°.

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5x-7y=58

y=-x+2

5x-7y=58

5(6)-7y=58

30-7y=58

-7y=58-30

-7y=28

y= -4

Answer:

x = 6, y = -4

Step-by-step explanation:

Khan Academy

Answer:

Midpoint of XY = ( - 5, - 3)

Step-by-step explanation:

[tex]Midpoint \: of \: XY \\ = \bigg( \frac{ - 2 + ( - 8)}{2}, \: \frac{3 + ( - 9)}{2} \bigg) \\ = \bigg( \frac{ - 2 - 8}{2}, \: \frac{3 - 9}{2} \bigg)\\ = \bigg( \frac{ - 10}{2}, \: \frac{ - 6}{2} \bigg)\\ Midpoint \: of \: XY = ( - 5, \: - 3)[/tex]

Answer:

The amount between each. Since you didn't attachment any further information like the amount of M, N, and P or a graph chart- I'll only be able to give an example.  

Let's say M is equal to 3, N is equal to 1, and P is equal to 2. All together these spaces add up to 6 which can be evenly space out or distributed unevenly.  

Like M:N= 3:1 or N:P = 1:2. As you can tell all together (all you have to do is add 3&1 or 1&2) you'll get the result of 4 or 3 and they aren't similar. Let me know if this helps!  I know sometimes seeing technically terms and numbers can be difficult so I tried to explain with words as best I could. Good luck to you.

Answer:the answer is 7.5 if you need to round it up it’ll be 8 if you need it as a fraction it’ll be 7 1/2

Step-by-step explanation:

Answer:

The answer is 14. Not -14.

Step-by-step explanation:

The value of x for the given triangle will be 14.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the perimeter of the equilateral triangle shown is 67.5 inches. One side of the triangle is 1.75x - 2.

Perimeter = 3 ( 1.75x - 2 )

67.5 = 5.25x -6

x = ( 73.5 / 5.25 )

x = 14

Therefore, the value of x for the given triangle will be 14.

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Answer:

MN = 68

Step-by-step explanation:

LN = 91

LM = 23

Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:

LM + MN = LN

23 + MN = 91 (Substitution)

Subtract 23 from both sides

23 + MN - 23 = 91 - 23

MN = 68

4,383  I hope I got that right, Hope it helps!

Answer:

x = 5

Step-by-step explanation:

Given

x + 5 = 10 ( isolate x by subtracting 5 from both sides )

x = 5

Answer:

f(x)=24

Step-by-step explanation:

Replace x in the function with the value 4.

f(4)= (4)^2 + 3(4) - 4  

16 + 12 -4

28 - 4

F(x)= 24

Answer:Let n = the smallest integer

Then the other integers are n+1, n+2, n+3 and n+4

Sum = n + n+1 + n+2 + n+3 + n+4 = 5n + 10 = 5(n + 2)

So the sum is always divisible by 5, for any value of n

Step-by-step explanation:

Answer:

expression

Step-by-step explanation:

hope this helps

Answer:

8      x = 17

9      x = 36

10     x = 10

Step-by-step explanation:

8

(6x + 5) + (4x+5) = 180

6x + 4x = 180 - 5 - 5

10x = 170

x = 170/10

x = 17

9

2x + 1 = 73

2x = 73 - 1

2x = 72

x = 72/2

x = 36

10

(3x+7) + 53 = 90

3x = 90 - 53 - 7

3x = 90 - 60

3x = 30

x = 30/3

x = 10

Answer:

8) i have no clue

9) x=36

10) x=10

Step-by-step explanation:

9) 73-1=72

72/2=36

x=36

10) 3x+7

90-53=37

37-7=30

30/3

x=10

Answer:

Do you have a picture of the problem, please?

Step-by-step explanation:

Only then, can I edit this and provide an accurate answer! ;D

Answer:

x=7

Step-by-step explanation:

x=7

Answer:

Step-by-step explanation:

6x + 2y = 26

5x - 2y = 7

11x = 33

x = 3

3(3) + y = 13

9 + y = 13

y = 4

(3,4)

Answer:

Interquartile range = 40

Step-by-step explanation:

interquartile range = Q3-Q1

It has 7 numbers, in order to make it even we remove the middle number (70) to make two sets of quartiles

Q1 = 50 (middle of the lower quartile)

Q3= 90 (middle of the higher quartile)

Answer:

8 groups of 75, 10 groups of 60, 12 groups of 50.

Step-by-step explanation:

600/12=50

600/10=60

600/8=75

The possible groupings are:

50 groups with 12 jellybeans each.

40 groups with 15 jellybeans each.

30 groups with 20 jellybeans each.

24 groups with 25 jellybeans each.

12 groups with 50 jellybeans each.

10 groups with 60 jellybeans each.

8 groups with 75 jellybeans each.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Chloe wants to divide 600 jellybeans into equal groups. She wants each group to have more than 10 jellybeans, but less than 100.

This means,

we need to find three numbers between 10 and 100 that are a factor of  600.

We  can have,

12, 15, 20, 25, 50, 60, 75

We can have,

50 groups with 12 jellybeans each.

40 groups with 15 jellybeans each.

30 groups with 20 jellybeans each.

24 groups with 25 jellybeans each.

12 groups with 50 jellybeans each.

10 groups with 60 jellybeans each.

8 groups with 75 jellybeans each.

These are the possible grouping we can have,

We can choose any three groupings.

Thus,

The possible groupings are:

50 groups with 12 jellybeans each.

40 groups with 15 jellybeans each.

30 groups with 20 jellybeans each.

24 groups with 25 jellybeans each.

12 groups with 50 jellybeans each.

10 groups with 60 jellybeans each.

8 groups with 75 jellybeans each.

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Answer:

2,4,6,8,12,16

Because it is 2 times 3 equals 6

2 times 1 equals 2

2 times 2 equals 4

2 times 8 equals 16

2 times 3 equals 6  

2 times 4 equals 8

2 times 6 equals 12

and they are all a factor of 2

Answer:

Step-by-step explanation:

(4 + 4)/2 = 8/2= 4

(8 + 6)/2= 14/2= 7

(4, 7) the midpoint

Answer:

1/2

Step-by-step explanation:

y =  kx

where k is the constant of proportionality

y = 1/2 x  so k= 1/2

Answer:

A. 40.021

Step-by-step explanation:

Unlimited calls = $40

Text message = $0.021

NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.

Total cost = Cost of unlimited calls + cost of text messages

C = $40 + $0.021

= $40.021

Therefore, the equation which represent the total cost in dollars for a month is 40.021

A. 40.021

Answer:

he is right^ A.

Step-by-step explanation:

Answer:

m=8

Step-by-step explanation:

Answer: m=8

Step-by-step explanation:

2m-3=13

Add 3 to -3 and 13 to cancel the number without a variable

-3+3=0 13+3=16

2m=16

Divide 2 on each side

2/2=0 16/2=8

M=8

Answer:

9units²

Step-by-step explanation:

A triangle has 3 sides. Let the length of the three sides be a, b, c.

If the perimeter of the triangle is 18, then;

P = a+b+c

a+b+c = 18... 1

If the sum of the squares of the three side lengths is 128, this means;

a²+b²+c² = 128... 2

Since the triangle is also right angled, according to Pythagoras theorem;

c² = a²+b²... 3 (taking c as the hypotenuse)

Substitute equation 3 into 2;

(a²+b²)+c² = 128

c²+c² = 128

2c² = 128

c² = 128/2

c² = 64

c = √64

c = 8

Substituting c = 8 into 1

a+b+c = 18

a+b+8=18

a+b = 10 ...... 3

Substituting c = 8 into 2

a²+b²+c² = 128

a²+b²+8² = 128

a²+b²+64 = 128

a²+b²= 64..... 4

Solve equation 3 and 4 simultaneously;

a+b = 10

a²+b²= 64

From 4; a = 10-b

Substitute a = 10-b into 4;

(10-b)²+b² = 64

100-20b+b²+b² = 64

2b²-20b+100-64 = 0

2b²-20b+36 = 0

Divide through by 2:

b²-10b+18 = 0

b = 10±√10²-4(18)/2

b = 10±√100-72/2

b =( 10±√28)/2

b =(10±√4×7)/2

b = (10±2√7)/2

b = 5±√7

Hence b = 5+√7

If a+ b = 10

a+(5+√7 ) = 10

a = 10-(5+√7)

a = 10-5-√7

a = 5-√7

Area of the triangle A = 1/2 ab

A = 1/2 × (5+√7) × (5-√7)

A = 1/2 × (25-5√7+5√7-7)

A = 1/2 × (25-7)

A = 1/2 × 18

A = 9

Hence the are of the triangle is 9units²

Answer:

5n is a term= true

3m and 5n are NOT like terms=true

these are the correct answers

Step-by-step explanation:

these are the wrong ones

a variable would be m or n

coefficients would be 3 and 5