Select the recursive rule for a sequence where every term is the same.
(А)
f(1) = 11, f(n) = f(n - 1)-2
B
f(1)= 11, f(n)=f(n − 1) + 1
C с
f(1) = 11, f(n)=f(n - 1)-1
D
f(1)= 11, f(n) = f(n − 1)

The given equations are as follows

[tex]\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}[/tex]

(1) First, multiply both sides of equation A by 4, we have

[tex]4\times\left(\frac{x}{4} +1\right)=4\times(-3)[/tex]

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

[tex]4\times\frac{x}{4}+4\times1=4(-3)[/tex]

[tex]\Rightarrow x+4=-12[/tex]

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.

Answer:

[see below]

Step-by-step explanation:

In a group of 75 fourth graders, 21% do not like Skittles.

This means that 79% of people do like Skittles.

75 * .79 = 59.25 ≈ 59

59 students should like skittles.

Hope this helps.

Answer:

b = 34/3

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

-17 = -3/2b

Step 2: Solve for b

Step 3: Check

Plug in b to verify it's a solution.

Answer:

Round to the nearest whole number and then add the numbers. The estimate should be close in value to the actual sum.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

7-3=4

Answer:

7-3=4

Step-by-step explanation:

Im not quite sure if this is what you were asking for but here

Let the number of hours be x.

70 + 80x < 100x

20x > 70

x > 3.5

Answer:

nhi pta... pdhai dhang se kiya kro

Answer:

Length --> x

Width --> y

Perimeter of a rectangle --> 2x + 2y

The length is always 4 cm more than double the width

x - 4 = 2y

y = (x-4)/2

x = 2y + 4

a. The polynomial equation to give the perimeter --> 2(2y+4) + 2((x-4)/2)

b. x - 4 = 2·6 --> x - 4 = 12 --> x = 16

  Perimeter --> 2·16 + 2·6 = 44 cm

the inequality would be 18>1.5x

this basically means $18 is greater than or equal to 1.5x, where x is the number of peppers you buy at $1.50 for each pepper. So you can buy any amount of peppers from 0 to 12. If you want to make the inequality better it would be 18>1.5x>0 because you can't buy less than 0 peppers

Answer:

y = - 0.5 | x - 5 | + 2

Step-by-step explanation:

g(x) = |x|

[tex]1^{st}[/tex] step - shifts right 5 units: g(x + 5) = | x - 5 |

[tex]2^{nd}[/tex] step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2

[tex]3^{rd}[/tex] step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2

[tex]4^{th}[/tex] step - stretched by 0.5: y = - 0.5 | x - 5 | + 2

y = - 0.5 | x - 5 | + 2

The value of 'x' is 115 degrees and this can be determined by using the sum of interior angles property of hexagon.

Given :

The following steps can be used in order to determine the value of x which is an interior angle of a hexagon:

Step 1 - According to the given data, the given polygon has 6 sides means that it is a hexagon with interior angles 118°, 127°, 111°, 123°, 126°, and x°.

Step 2 - The sum of interior angles of a hexagon is 720 degrees.

Step 3 - So, the values of 'x' can be calculated by using the below expression:

118 + 127 + 111 + 123 + 126 + x = 720

Step 4 - Simplify the above expression.

605 + x = 720

x = 720 - 605

x = 115 degrees

For more information, refer to the link given below:

https://brainly.com/question/4083236

Answer:

Step-by-step explanation:

The value of cos(x/2) is required.

The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

The given value is

[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.

From trigonometric identities we have

[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]

If x lies in quadrant III then x/2 lies in quadrant II.

Cos is negative in quadrant III so,

[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]

[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Since, x/2 lies in the second quadrant and cos (x/2) is negative.

The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Learn more about trigonometry:

https://brainly.com/question/24349828

Answer:

Step-by-step explanation:

The system resulting in equation 0=3 means:

Correct choice is:

Answer:

no because it is lower than 1 and 270 is higher

Answer:

No, because 0.000027 is a decimal. Any decimal with 0. *something* will be less than one. 27 is more than one. Thus, the statement is false.

Answer:

x= C-a/b

Step-by-step explanation: Ik alllLlLLlllLlLL

(my other account is actingqueen2468 but i forgot my password)

Answer:

it 2

Step-by-step explanation:

Answer:

If you use 30 instead of 15, that means that  your sum will double

Step-by-step explanation: 30 is double 15

Answer:

A

Step-by-step explanation:

(3 + 5i) + (10 + 7i) =

3 + 5i +10 + 7i =

3 + 10 + 5i + 7i =

13 + 12i

Answer:

i believe its B side Tu

Step-by-step explanation:

Based on the HL congruence rule, the value of x, is calculated as:

x = 2.

Both triangles that share the same side and have corresponding angle 90 degrees and a pair of corresponding congruent hypotenuse are congruent  to each other based on the HL congruence theorem.

This means that:

17x - 3 = 9x + 13

Solve for the value of x:

17x - 9x = 3 + 13

8x = 16

Divide both sides by 8:

8x/8 = 16/8

x = 2

The value of x is: 2.

Learn more about HL congruence theorem on:

https://brainly.com/question/29615095

#SPJ6

Answer:

The slope is -4/3.

Step-by-step explanation:

Slope = rise/run. Starting at (3, -1), you go up 4 units and over to the left 3 units to (0,3). Since it's a line of decay, the slope is negative.

Answer:

the slope should be -4/3

Step-by-step explanation:

you go down 4 and to the right 3 so I am pretty sure it is -4/3

Answer:

[tex]x + 46 < 135[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Weight = 48lb[/tex]

He can lift less than 135 implies that, his maximum is:

[tex]Total < 135[/tex]

Required

Determine the additional weight

Let the additional weight be x

Such that

[tex]Total = x + Initial\ Weight[/tex]

[tex]Total = x + 46[/tex]

Substitute x + 46 for Total in [tex]Total < 135[/tex]

[tex]x + 46 < 135[/tex]

Hence, the inequality that describes the scenario is: [tex]x + 46 < 135[/tex]

Answer:

x intercept (2,0)

y intercept (0,-4)

Answer:

x intercept (2,0)

y intercept (0,-4)

Step-by-step explanation:

give me brainliest

Answer:

the fact that this dosen´t the question like

Step-by-step explanation:

Answer:

$2.70 Per Pound

Step-by-step explanation:

Answer:

1)4:2     3) 2/1 (2 over 1)    5) 4 to 2

Step-by-step explanation:

Answer:

A, C, E

Step-by-step explanation:

?????

Answer:

4 is C for sure!

Step-by-step explanation:

Answer: 2

Step-by-step explanation: 1/2 x 4 = 4/2 = 2/1 = 2.