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sweet [91]
3 years ago
5

3-7= 4-6= 3+-6= 4--1= -5+-5= -3+5= -4-6=

Mathematics
1 answer:
kipiarov [429]3 years ago
4 0

Answer:

Answers are below

Step-by-step explanation:

3 - 7 = -4

4 - 6 = -2

3 + -6 = -3

4 - - 1 = 5

-5 + -5 = -10

-3 + 5 = 2

-4 -6 = -10

Hope this helps!!

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What is the nth term rule of the linear sequence below?<br> -4,-1,2,5,8,...
storchak [24]

Answer:

The nth term of the given sequence  tₙ = 3 n - 7

Step-by-step explanation:

Given sequence   - 4 , -1 , 2 , 5, 8 , .....

First term a = -4

The difference of two terms of a given sequence

d = -1 - (-4) = -1 +4 = 3

d = 2 - (-1) = 2 +1 = 3

d = 5 -2 = 3

d = 8 - 5 =3

The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

     The nth term of given sequence

   t _{n} = a + ( n-1 ) d

  = -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7

<u><em>Final answer:</em></u>-

The nth term of the given sequence  tₙ = 3 n - 7

         

6 0
3 years ago
G(x) = x3 + 6x2 + 12x + 8Determine the function’s value when x = −1.
Aneli [31]
Plug in  -1 for x and  work it ou'

g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8

= -1 + 6 - 12 + 8

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8 0
3 years ago
Read 2 more answers
Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four
Alina [70]

Answer:

Step-by-step explanation:

(a)

Suppose we came up with an ideology whereby we pick a value for the length including the length dividing the inside into 4 parts(5 parallel sides), then we can get the value for breath by using the following process.

Let assume the length of the rectangle is 50;

Then, the breath can be calculated as follows:

= 50 × 5 = 250   ( since the breath is divided into 5 parallel sides)

The fencing is said to be 950 ft

So, 950 - 250 = 700

Then divided by 2, we get:

= 700/2

= 350

So for the first diagram; the length = 50 and the breath = 350

The area = 50 × 350 = 17500 ft²

Now, let's go up a little bit.

If the length increase to 100;

Then 100 × 5 = 500

⇒ 950 - 500 = 450

⇒ 450/2 = 225

The area = 225 × 100 = 22500 ft²

Suppose the length increases to 150

Then 150 × 5 = 750

⇒ 950 - 750 = 200

⇒ 200/2 = 100

The area = 150 × 100 = 15000 ft²

The diagrams for each of the outline above can be seen in the image attached below.

(b) The diagram illustrating the general solution can be seen in the second image provided below.

(c) The expression for  the total area A in terms of both x and y is:

Area A = x×y

(d) Recall that:

The fencing is said to be 950 ft.

And the length is divided inside into 5 parallel sides;

Then:

5x + 2y = 950  (from the illustration in the second image below)

2y  = 950 - 5x

y = \dfrac{950}{2} - \dfrac{5}{2}x

y = 475- \dfrac{5}{2}x

(e)

From (c); replace the value of y in (d) into (c)

Then:

Area A = x×y

f(x)= x\times ( 475 -\dfrac{5}{2}x)

Open brackets

f(x)= ( 475 x-\dfrac{5}{2}x^2)

(f)

By differentiating what we have in (e)

f(x)= ( 475 x-\dfrac{5}{2}x^2)

f'(x)= ( 475 (1)-\dfrac{5}{2}(2x))

f'(x)= 475 -5x

\implies  475 = 5x

x = 475/5

x = 95

From (d):

y = 475- \dfrac{5}{2}x

y = 475- \dfrac{5}{2}(95)

y =237.5

∴

Area A = x × y

Area A = 95 × 237.5

Area A = 22562.5 ft²

5 0
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Find the distance traveled by the tip of the second hand of a clock in one minute if the hand is 6cm long.
gayaneshka [121]
The circumference of a circle with radius 6 inches is 12π inches. 15 minutes is 1/4 of the circle which is 60 minutes Therefore the tip moves 1/4 of 12π = 3π inches In 25 minutes the tip moves (25/60)12π = 5π inches Yes, you can also use the formula s = rθ θ is the angle of rotation. 15 minutes is equivalent to 90 degrees or π/2 radians Therefore s = 6 inches(π/2) = 3π inches 25 minutes is equivalent to 25/60 x 360 degrees = 150 degrees = 5π/6 radians 
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What is the sum of 3x and 2x
REY [17]

The sum would be 5x

hope this helps have a good day....☺

7 0
3 years ago
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