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Salsk061 [2.6K]
2 years ago
7

What is the equation of g(x)? g(x) = 10x â€"" 3 g(x) = 10x 3 g(x) = 10x â€"" 3 g(x) = 10x 3.

Mathematics
1 answer:
STALIN [3.7K]2 years ago
3 0

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

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:

\rm f(x) = 10^x

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:

\rm g(x) = 10 ^{x-3}

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

\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1

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

\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10

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

For more details refer to the link given below.

brainly.com/question/13148696

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In order of blank boxes going from left to right then down will be 1, 9, 5, 75, 35.

The missing table is given below.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Shawn is collecting money from students at his school for a charity.

The table gives the ratios of the number of students who have donated and the amount of money he has collected from them.

Since 30 is 1/3 of 90, we know the ratio is 1:3.

In order of blank boxes going from left to right then down

1, 9, 5, 75, 35

The complete table is attached below.

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ1

3 0
1 year ago
PLEASE HELPPPPPPPPPPPPPP THANK YOUUH
almond37 [142]
For A B and C, you just plug in the given number

A
2(15) + 5 = 35
B
4(20) + 2 = 82
C
6(10) + 5 = 65
And for D, you set the equation to 26 and solve for n
3x + 5 = 26 \\ 3x = 21 \\ x = 7
I had to use x instead of n, but for D n=7. :)

8 0
3 years ago
1. What is the solution for<br> the inequality 4x &lt; 12?
DedPeter [7]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

4x < 12

Divide both sides by 4:

x < 12/4

x < 3

That is your solution ^^

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

8 0
3 years ago
A DVD case contains 4 comedies and 6 action movies. Suppose you select a movie at random on Friday night, don’t replace the movi
mamaluj [8]

Step-by-step explanation:

P(C) = 4/10 = 2/5

P(A) = 6/10 = 3/5

8 0
3 years ago
kissa brought an item at Tsh 250,000/= she sold it by a certain price and got loss of 1/4 of the buying price. find the percenta
eimsori [14]

Answer:

Loss %age = 25%

Step-by-step explanation:

<u><em>Cost Price of Item</em></u> = 250,000/-

<u><em>Loss </em></u>= 1/4 = 0.25 of 250,000

=> 62,500 /-

<u><em>%age Loss</em></u> = Loss*100/Cost Price

=> 62,500 * 100 / 250,000

=> 6,250,000/250,000

=> 25 %

5 0
3 years ago
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