MATHEMATICS HIGH SCHOOL

The tables below show the values of f(x) and g(x) for different values of x:f(x) = 2(3)x
x f(x)
−2 0.22
−1 0.67
0 2
1 6
2 18
g(x) = 3x + 3
x g(x)
−2 3.11
−1 3.33
0 4
1 6
2 12
Based on the tables, what is the solution to the equation 2(3)x = 3x + 3?
A)x=-1
B)x=0
C)x=1
D)X=6

Answers

Answer 1
Answer: Hello,

Answer C) x=1 for 3^1+3=3+3=6 and 2*3^1=2*3=6

Without the tables:
 2*3^x=3^x+3
==> 2*3^x-3^x=3
==>3^x * (2-1)=3
==>3^x=3^1
==>x=1
Answer 2
Answer:

Answer:

X will equal 1

Related Questions

How do you prove (3x+2)2 is equivalent to (3x+6)(3x-2)+16i have tried expanding the brackets but I'm still really stuckthankyou in advance
What is the value of z in the equation 3z - 7 = 14?
In the past ten years, the population of a city decreased from 90,000 to 75,000 Find the percent decrease.
Multiply the following
Which is more?1. Riding a bike 10 miles in 1 hour2. Jogging 3 miles in 24 minutes

If the acute angles in a right triangle are in the ratio of 5:4 find the measure of the smallest angle

Answers

Let's create this right triangle.  We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C.  If the ratio is 5:4, then it is A:C.  5+4 = 9.  The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10.  So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees.  The smallest angle, angle C, is 40 degrees.

16. Supposes that y varies inversely with x and that y-10 whenx-7. Which of the following equations models this relationship? A. Y=70x

B. Y=-10x

C. Y=x/70

D. Y=70/x

Answers

The equation that models this relation is y = 70/x. So, option (D) is the correct answer.

What is constant of proportionality?

The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant.

For the given situation,

The values are y = 10 and x = 7

y varies inversely with x.

⇒ y ∝ (1)/(x)

To remove proportionality we introduce a constant 'k'.

⇒ y=(k)/(x)

Substitute the values of x and y,

⇒ 10=(k)/(7)

⇒ k=70

Now substitute the value of k = 70 in y,

⇒ y = (70)/(x)

Hence we can conclude that the equation that models this relation is      y = 70/x. So, option (D) is the correct answer.

Learn more about constant of proportionality here

brainly.com/question/21328304

#SPJ2
So the answer would be d

Hope that helped!;)

What restriction may be necessary to the domain and range of linear equations?

Answers

If x is under a square root (√(x)) then x cannot equal a negative number. If x is in the denominator of a fraction ((y)/(x)) then x cannot equal zero.

Which equation represents the line that passes through the points (6 -3) and (-4 -9)

Answers

first of all you neeeeeed to make sure you know the formula for slope!
which is...
                y2 - y1
    m  =   -----------
                x2 - x1

and since they already gave you two x and y coordinates this is really simple:)  first of all you need to understand what is y2, y1, or x2, x1
taking the points (6,-3) i hope u understand that 6 is the x and -3 is the y.    so knowing that information you always remember to use the information in the order that they gave it to you. i will add an extra link to help explain. Sooo then knowing that you plug it into the formula that I gave you earlier 
so look at the next link that i made:)  
so your slope is 6/5! or 1.2 as a decimal
hopefully you would know what an equation looks like but just in case this is it      y = mx+b 
 so your equation looks like this y = 1.2x -3 
  where did i get the -3?
well look at first x and y coordinate thats your first y intercept:))
hope i helped!!.... and that this was right lol
let me know if it was correct thanks.

Sheila has 5 times as many markers as Dave. together they have 18. how many markers does Sheila have???

Answers