Tom is stringing up Christmas lights on his house. The first 2 strings of light have the same number of light bulbs. The 3rd string of light has 12 more light bulbs;? 7 than the first 2 strings. There are a total of 88 light bulbs. How many light bulbs are on the first string?

The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

Given that,

The graphs of f(x) = 10x and its translation, g(x), are shown.

We have to determine,

What is the equation of g(x)?

According to the question,

The given graphs of two functions f(x) and g(x).

The function f(x) is an exponential function and is given by:

[tex]\rm f(x) = 10^x[/tex]

To find the equation for the transformed function g(x).

We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.

This means that the equation or the expression for the function g(x) is given by:

[tex]\rm g(x) = 10 ^{x-3}[/tex]

Substitute the value of x = 3 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]

Substitute the value of x = 4 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]

Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

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https://brainly.com/question/13148696

Answer:

the answer is a g(x)= 10x^-3

Step-by-step explanation:

Answer:

71/120

Step-by-step explanation:

Answer:

x^3-x^2-10x-8

Multiply each term in the first expression by each term in the second expression and combine like terms.

Answer:

Table be is the only function. Table A has -5 as an x value two times.

Step-by-step explanation:

Answer:

this has to do with trial and error

since N=21÷3-3

so 21÷3-3=4

therefore N=4

substitute for N

2×4=8

8×3=24

therefore 24÷3=2×4

Answer:

First option (top left)

Step-by-step explanation:

Since the coefficient of this equation, [tex]2(3)^{x}[/tex], is 2, when x is 0, then y must be 2. The graph must have a y-intercept of 2. You can find this by plugging this in.

I cannot see the fourth graph, but the second graph does not have a y-intercept of 2, therefore it can immedeately be ruled out.

Then we plug in the coordinates they give.

It just so happens that the first one, [tex]2(3)^1[/tex] is indeed equal to 6.

We can check that this is right by disproving the third one (top right).

[tex]2(3)^2=18[/tex], not 8, therefore our third answer choice is false.

The fourth one is definetly wrong because the y-value at x=2 (as we have already calculated) is 18, not 12.

Therefore, our first answer, the one on the top left, is correct.

note: for this problem you did not even need to find the y-intercepts. Plugging in the coordinates would be fine by its own (the second answer choice is already wrong just because of the coordinates since 9≠6(found in answer choice 1)). However, having the y-intercept handy will be very helpful if there is more than one answer choice with correct coordinates.

Answer:

x=-9/28

Step-by-step explanation:

-4(-6x-3)+4x=3

24x+12+4x=3

28x+12=3

28x=-9

x=-9/28

Answer:

x = -9/28

Step-by-step explanation:

Therefore, the solution is 'x = -9/28'.

Hoped this helped.

x/2 = -0.73

To solve for x multiply both sides by 2:

x = -1.46

its a ratio i think .......

Answer:

answer is  

A.21,369 or  D. 56,783

Step-by-step explanation:

am  not sure but am mostly sure it is D but i dont know i think is A to but am

99% is D

hope it helps

Answer:

Your answer is C 48,618

Step-by-step explanation:

if you add the sum up of all of the digits it is divisible by both three and nine.

can i plz get brainliest.

Answer:

9

Step-by-step explanation:

2 times 3 = 6

6+3=9

Answer:

  a[1] = 100

  a[n] = 1.05·a[n -1]

Step-by-step explanation:

The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...

  a[1] = 100

  a[n] = 1.05·a[n -1]

The one-time entry fee is $12.

In order to determine the one-time entry fee, two equations have to be formed from the information in the question:

x + 5y = 42 equation 1

x + 7y = 54  equation 2

Where:

x = one-time entry fee

y = cost to pick an apple per pound

In order to determine the one-time entry fee, take the following steps:

Multiply equation 1 by 7 and equation 2 by 5.

7x + 35y = 294 equation 3

5x + 35y = 270 equation 4

Subtract equation 4 from equation 3

2x =24

Divide both sides of the equation by 2

x = $12

To learn more, please check: brainly.com/question/23589883

Answer:

49π in²

Step-by-step explanation:

Step 1: Find the radius.

Step 2: Apply area of circle formula.

Step 3: Simplify.

Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².

The equilibrium constant of the reaction is 0.0030.

The equation of the reaction is given as;

N2(g) + 3H2(g) ⇆ 2NH3 (g)

We have the following information at equilibrium;

[NH3] = 0.105 M

[N2] = 1.1 M

[H2] = 1.50 M

Hence, we can calculate the equilibrium constant using the relation;

K = [NH3]^2/ [N2]  [H2]^3

Substituting values;

K = [0.105]^2/[ 1.1] [1.50]^3

K =0.011025 /3.7125

K= 0.0030

Learn more: https://brainly.com/question/17960050

Answer:

[tex](\sqrt[3]{5})^2=5^\frac{2}{3}[/tex]

Step-by-step explanation:

[tex](\sqrt[3]{5})^2[/tex]

[tex](5^{\frac{1}{3}})^2[/tex]

[tex]5^{\frac{1}{3}*2}[/tex]

[tex]5^\frac{2}{3}[/tex]

Remember that [tex](\sqrt[a]{x})^b=x^\frac{b}{a}[/tex]

Answer:

I think the correct answer is D since the arrows go infinite ways. Let me know if im right. :)

Step-by-step explanation:

Hi there! :)

5-2b when b=-1; 3.

5-2(-1)

5+2

7

5-2(3)

5-6

-1

3(x+8)

3x+24

Hope it helps!

~Answer given by

An Unknown Dreamer

Good luck.

Answer:

B

Step-by-step explanation:

Each tick = + or - 2 depending on which quadrant and axis

So the first line (the slanted one) intersects the y axis at (0,5) and continues until (2,5)

Then the line becomes straight (the y remains constant) from (2,5) (the points x value is 2) to (2,10) (the points x value is now 10)

Answer:

Supplementary Angles

x = 62

Step-by-step explanation:

Supplementary angles equal 180.

180 - 118 = 62

I hope this helps!

Answer:

54u - 9v + 45

Step-by-step explanation:

distributive property

Answer:

21

Step-by-step explanation:

his ratio of shots from the first game would be 14:40 or 7:20

so if he made the same ratio from 60 shots it would be

21:60

Answer:

Step-by-step explanation:

Try .83

8 + 3 = 11

8*3    = 24

.84> 1/2