Simplify the expression. 2(34x ) + 5(92x ) + 81x

Given:

[tex]h(1)=9[/tex]

[tex]h(n)=h(n-1)\cdot (-3)[/tex]

To find:

The explicit formula for h(n).

Solution:

We have,

[tex]h(n)=h(n-1)\cdot (-3)[/tex]         ...(i)

It is the recursive formula of a geometric sequence. It is of the form

[tex]a(n)=a(n-1)\cdot r[/tex]         ...(ii)

where r is the common ratio.

On comparing (i) and (ii), we get

[tex]r=-3[/tex]

We have, [tex]h(1)=9[/tex] so the first term of the geometric sequence is [tex]a=9[/tex].

The explicit formula for a geometric sequence is:

[tex]h(n)=ar^{n-1}[/tex]

Substitute a=9 and r=-3 to get the explicit formula for the given sequence.

[tex]h(n)=9(-3)^{n-1}[/tex]

Therefore, the required explicit formula is [tex]h(n)=9(-3)^{n-1}[/tex].

Answer:

225.

Step-by-step explanation:

Answer:

x = 18 , y = 15

Step-by-step explanation:

Given the 2 equations

3x - 2y = 24 → (1)

x + 2y = 48 → (2)

Adding the 2 equations term by term will eliminate the y- term

4x + 0 = 72

4x = 72 ( divide both sides by 4 )

x = 18

Substitute x = 18 into either of the 2 equations and solve for y

Substituting into (2)

18 + 2y = 48 ( subtract 18 from both sides )

2y = 30 ( divide both sides by 2 )

y = 15

Answer:

15x +10y =400

All divide by 5

3x +2y =80

2y=80 - 3x

y=80-3x/2

Answer:

D this is because -2 times 3 is -6 and 1 times 4 is 4 so -6+4=-2 and 2 times -2 is -4 and 1 times -4 is -4 so -4-4 is -8 D

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

choose as brainlest

Answer:

200 shows

Step-by-step explanation:

subtract the total ($40) from how much he pays a month ($20) to get the total of how much he paid in shows total ($20)

40-20=20

divide the total bill of shows ($20) by how much it costs per show ($0.10) to get how many shows he has watched (200)

20/0.10=200

Hope this helps!!

Answer: The angle is 35 is specifically 34.85

Step-by-step explanation:

[tex]sin^{-1}[/tex]([tex]\frac{8}{14}[/tex])=34.85

Answer:

its a file to powerpoint hope thats ok

Step-by-step explanation:

Answer:

30 feet

Multiply

For every 1 mm on the map there are 200 miles of actual distance (third option)

8 cm, 26.8 cm, and 58 cm (last option)

Step-by-step explanation:

Question 1:

An airplane is 180 feet long. Blake makes a scale model of the airplane at 1:60  of its actual size how long is the model?

If the model is scaled down by 1/60, then the model is 60 times smaller than the actual airplane. Set the model size as "x" and so we can write this ratio.

1 / 60 = x / 180

Cross multiply (multiply 60 and x, and 180 and 1)

60x = 180

x = 3 feet

Question 2:

To produce an enlarged or reduced measure you ____ the scale.

In order to find the measure, you multiply it by the scale factor.

Question 3:

A scale on a map is 1 mm: 200 miles

The question tells us that for every 1 mm, there are actually 200 miles. So the answer is the first option, For every 1 mm on the map there are 200 miles of actual distance.

Question 4:

What are the new dimensions if we expand the triangle below by a factor of 4.

If we multiply by the scale factor, 4, we get

2 * 4 = 8

6.7 * 4 = 26.8

14.5 * 4 = 58

Thus, the answer is 8 cm, 26.8 cm, and 58 cm (last option)

I hope this helps! Feel free to ask any questions!

Answer:

-4

Step-by-step explanation:

Plug in -4 for x, so the absolute value of -4 is 4. However, there's a minus sign out in front still, so it gets tacked on to the 4. So, g(-4)=-4

Answer:

-8?

Step-by-step explanation:

Cycles R Us sold 100 bikes more than Peer's Bike store in week zero.

   Peer's Bike store sold 50 bikes more than Cycles R Us bikes store.

        [tex]y(t)=y_0(1+r)^t[/tex]

        Where, [tex]y(t)=[/tex] Final value

        [tex]y_0=[/tex] Initial value

        [tex]r=[/tex] rate of increase

        [tex]t=[/tex] Time or duration

Given in the question,

        [tex]y(t)=150(1.3)^t[/tex]

        At t = 0,

        [tex]y(0)=150(1.3)^0[/tex]

        [tex]y(0)=150[/tex]

        [tex]y(t)=y_0(1+r)^t[/tex]

        From the graph attached,

        At t = 0 , [tex]y_0=100[/tex]

Difference in the bikes sold at Peer's Bike store and Cycles R Us bikes store = [tex]150-100[/tex]

         = [tex]50[/tex]

      Therefore, 50 more bikes were sold at Peer's Bike shop than at Cycles R Us store.

Learn more about the exponential function here,

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Answer:

4 -.-

Step-by-step explanation:

Circumference of circle(C)=2πr

=2×3.14×5

=31.4

Step-by-step explanation:

using formula of Circumference of circle

Answer:

x= 21/15

if you need to reduce it would be x=7/5

Step-by-step explanation:

12x-15 =6-3x

add 3x to both sides

15x- 15 = 6

now add 15 to both sides

15x = 21

lastly divide both sides by 15

x= 21/15

if you need to reduce it would be x=7/5

Answer:

x = 7/5 or 1.4

Step-by-step explanation:

12x - 15 = 6 - 3x             Need to move one variable term to the other side to

+3x              + 3x         isolate it on one side

---------------------------

15x - 15 = 6                   need to +15 to isolate the variable term

     +15   +15

-----------------------

15/15x = 21/15 (simplify 21/15 = 7/5)   need to divide by 15 to isolate x

------------------------

x = 7/5 or 1.4

sample response: The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.

Answer:

The transformation rule should be applied to the pre-image.  The application of the rule results in the point (8, 12).  The transformation rule was applied to the wrong point.

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

2(3x - 5) + 4 = -18

Distribute the 2

6x - 10 + 4 = -18

6x - 6 = -18

Add 6 to both sides

6x = -12

Divide both sides by 6

x = -2

Check:

2(3x - 5) + 4 = -18

substitute x = -2 into the original equation

2(3(-2) - 5) + 4 = -18

2(-6 - 5) + 4 = -18

2(-11) + 4 = -18

-22 + 4 = -18

-18 = -18

So x = -2 is true.

Answer:

x=-2

Step-by-step explanation:

2(3x-5)+4=-18

We move all terms to the left:

2(3x-5)+4-(-18)=0

We add all the numbers together, and all the variables

2(3x-5)+22=0

We multiply parentheses

6x-10+22=0

We add all the numbers together, and all the variables

6x+12=0

We move all terms containing x to the left, all other terms to the right

6x=-12

x=-12/6

x=-2

Answer:

A.)  g (x) = f (x) - 2

Step-by-step explanation:

The first thing we are going to do in this case is to take into account the following definition.

Translations are transformations that change the position of the graph of a function.

The general shape of the graph of a function is moved up, down, to the right or to the left.

The translations are considered rigid transformations. Now we will see how these are performed.

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

To graph y = f (x) -k, move the graph of k units down.

Using the definition we conclude that:

g (x) = f (x) - 4

Two exponential functions, fand g, are shown in the figure, where g is a transformation of f, g (x) = f (x) - 4 equation shows transformation of f. The correct option is A.

A mathematical function of the form [tex]f(x) = a^x[/tex], where an is a positive constant and x is the input variable, is an exponential function.

The characteristic curve of exponential functions rises or falls rapidly depending on whether an is greater or less than 1.

To determine the transformation of f which gives g, we need to examine how f has been transformed to obtain g.

Looking at the graph, we can see that g is a vertical shift of f. Specifically, g is obtained by shifting f downward by 2 units. Therefore, we need a rule that subtracts 2 from f (x) to get g (x).

Out of the given options, the only one that matches this description is:

g (x) = f (x) - 4

Option A subtracts 4 from f (x), which is not what we observe in the graph. Option B uses an incorrect format and is also subtracting 4 from  f (x).

Option C adds 4 to x, which would result in a horizontal shift, not a vertical shift.

Therefore, the correct answer is A g (x) = f (x) - 2.

For more details regarding exponential function, visit:

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Answer:

4:6

Step-by-step explanation:

Answer: 269 toys still need to be made.

Step-by-step explanation:

add 372+159, to know how many they made that day, it equals 531.

subtract that answer from 800, 800-531=269

Answer:

b po

Step-by-step explanation:

sana po matulong po ako

Answer:

oh snap

Step-by-step explanation:

at least it isn't due in 10 mins right? that happened to me.... luckily I saved 1st draft

Answer: I feel bad to you

Step-by-step explanation:lol

Answer:

A

Step-by-step explanation:

The form of the equation is y=mx+b and b is the y-intercept. 4 is in the spot of b

Answer:

5

Step-by-step explanation:

20+14-7-22 that is how i got 5 .

Answer:

$0.11 approx

Step-by-step explanation:

If 4 jalapenos cost $0.45, how much is 1 jalapeno?

Given data

We are told that  4 jalapenos cost $0.45

If  4 jalapenos cost $0.45

the 1 jalapenos cost x

cross multiply

x= 0.45/4

x= 0.1125

Hence the cost of 1 jalapenos is $0.11 approx

Answer:

The answer is A. Straight angle