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Answer:

Hi... U should do like this

The recursive formula will be g(n) = g(n-1) + 5

"A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:

The first term of the sequence.

The pattern rule to get any term from its previous term.

Recursive Formula for Arithmetic Sequence

The recursive formula to find the nth term of an arithmetic sequence is:

an = an-1 + d for n ≥ 2

where

an is the nth term of a A.P.

d is the common difference."

Given,

[tex]g(n) = 1 + 5(n-1)[/tex]

Let the remaining term be x

Now,

[tex]g(n) = g(n-1) + x 1 + 5(n-1) = 1 + 5(n - 1 - 1) + x\\\\ 1 + 5n - 5 = 1 + 5n - 10 + x \\\\x = 5[/tex]

So, [tex]g(n) = g(n-1) + 5[/tex]

And, [tex]g(1) = 1 + 5(1 - 1) + 5[/tex]

[tex]g(1) = 6[/tex]

Hence, [tex]g(1) = 6[/tex] and [tex]g(n) = g(n-1) + 5[/tex]

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Answer:

17 feet

Step-by-step explanation:

2-(-15)

=17 feet

PLS GIVE BRAINLIEST

Answer:

17 feet

Step-by-step explanation:

15 + 2 = 17

Answer: -1/2, 3/2, -1/3

Change in y over change in x

Answer:

i think the answer is inequality

Answer:

1,2,4,5,10

1,2,3,5,6

60

Step-by-step explanation:

Answer:

The fraction 49/35 reduced is: 1  14/35

Step-by-step explanation:

Answer:

1/5 mile per hour

Step-by-step explanation:

Hope that helps!

Answer:

1/5

Step-by-step explanation:

Answer:

The point of intersection is (2, -1).

Step-by-step explanation:

At the point of intersection both equations have same value of x and y.

y = x - 3

y = 1 - x

Since the 2 right sides are both = y:

x - 3 = 1 - x

x + x = 1 + 3

2x = 4

x = 2.

Substituting for x in equation 1:

y = 2 - 3 = -1.

Answer:

I think the answer is 169

Answer:

20 months

Step-by-step explanation:

Initial difference = 500$

Monthly difference = 25$

500 / 25 = 20

Answer:

x-intercept= 6

y-intercept= 4

Step-by-step explanation:

Solve for x first then solve for y.

If you can make my answer brainliest that would be much appreciated. Thanks!

The x- and y-intercepts of the linear equation

2x + 3y = 12 are (6, 0) and (0, 4).

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, A linear equation 2x + 3y = 12.

To obtain the x-intercept we'll make y = 0 in the equation which is,

2x + 3(0) = 12.

2x = 12.

x = 6.

So, The x-intercept is (6, 0).

To obtain the y-intercept we'll make x = 0 in the equation which is.

2(0) + 3y = 12.

3y = 12.

y = 4.

So, The y-intercept is (0, 4).

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Answer: 1

1 is the GCF of 16 and 17. Hope this helps.

-BrainlyRacer

Answer:

5/51 or 0.098

Step-by-step explanation:

Step-by-step explanation:

5/6 ÷ 8.5

8.5 = 8 1/2 = 17/2

5/6 ÷ 17/2

5/6 × 2/17 = 5/51

Answer:

Here you go. It was much simpler than it looked.

Explanation:

[tex]Start\\ a^{2}+b^{2}=c^{2}\\ 9^{2}+12^{2}=c^{2}\\ 81+144=c^{2} \\ 225 = c^{2} \\ \sqrt{225} = \sqrt{c}^{2}\\ 15 = c\\ c = 15[/tex]

Consider Brainliest! Hope I helped!

Answer:

o noooo why

Step-by-step explanation:

Answer:

I say C is your best answer because it might be a typo

Answer:

108:72

Step-by-step explanation:

Answer:

The missing value in the ratio that will appear next is: 108 and the ratio is 108:72

Step-by-step explanation:

The pattern of equivalent ratios is given in the picture.

The ratios are equivalent which means that the simplest form of ratio will be same for all ratios in the pattern.

So,

[tex]\frac{18}{12} = \frac{36}{24} = \frac{54}{36} = \frac{72}{48} = \frac{90}{60} = \frac{3}{2}[/tex]

This means that the simplest form of ratio for upcoming in the pattern will be 3/2

Let x be the missing value in ratio

Then

[tex]\frac{x}{72} = \frac{3}{2} \\x = \frac{3}{2} * 72\\x = 108[/tex]

Hence,

The missing value in the ratio that will appear next is: 108 and the ratio is 108:72

Answer:

2

Step-by-step explanation:

Slope (m) is equal to the change in the y-coordinate divided by the change in the x-coordinate.

The change in y= 6

The change in x= 3

6/3 =2

Answer:

x = 77.8 ft

General Formulas and Concepts:

Pre-Algebra

Trigonometry

Step-by-step explanation:

Step 1: Define

∅ = 40°

opposite leg of angle = 50 ft

hypotenuse = x ft

Step 2: Solve for x

The approximate perimeter of the figure is 27 units

From the given diagram, the perimeter is the sum of all the sides in units

Since one square box is equivalent to 1 unit, hence the perimeter is expressed as:

Perimeter = 9 units + 5 units + 3units + x

x is the slant sides

The perimeter of the figure = 27 units (x is approx 10 units)

Hence the approximate perimeter of the figure is 27 units

Learn more on perimeters here: https://brainly.com/question/22447290

Answer:

C,3 or 27 units

Step-by-step explanation:

The approximate perimeter of the figure is 27 units

Answer: x=26

Step-by-step explanation: first you would subtract 6 from both sides.

Next, you would add 60.

Lastly, you would divide both sides by 3.

So your answer is 26.

Answer:

x=26

Step-by-step explanation:

step 1: simplify both sides of the equation

step 2:subtract 6x from both sides

step3:add 60 to both sides

step4:divide both sides by 3

Answer:

33 degrees.

Step-by-step explanation: Half of a circle is 180 degrees. If we view the half of circle with angle C on it we can see the other part of the half of circle is 147 degrees. Since we know half a circle is 180 degrees, we subtract our known variable from 180 to get our unknown angle C, 33 degrees.

Answer:-21

Step-by-step explanation:

Answer: ok...

Step-by-step explanation:

Answer:

10 liters

Step-by-step explanation:

let sugar in  x liters of 60 % sugar syrup be equivalent to sugar in 40 liters of 45 % sugar syrup.

x×60 %=40×45%

60x=40×45=1800

x=1800/60=30

40-30=10

so 10 liters of 60 % sugar syrup be replaced with 10 liters of distilled water to make 40 liters of 45 % sugar syrup.

Answer:  The baker needs to pour off 10 liters of the solution and replace it with 10 liters of distilled water.

.6(40) = 24.  .45(40) = 18  24-18 = 6   6 = .6(10)  10 liters must be substituted.

Step-by-step explanation:

The original 60% solution contains 24 L syrup and 16 L water.

A 45% solution must contain 18 L syrup and 22 L water.

The difference in syrup is 6 L.  10 L of the 60% solution contains 6 L syrup.

After pouring off  10 L, the remaining  30 L will contain 18 L syrup and 12 L water.  

By adding 10 L water, the resulting solution is 18 L syrup and 22 L water.

18/40 = .45 which is the desired 45% syrup.

.