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julia-pushkina [17]
3 years ago
11

Latih Diri 2.1b

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

Answer:

olm türk yokmudrdyfsrug

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The graph of g(x) is a transformation of the graph of f(x)=3x. Enter the equation for g(x) in the box. G(x) =.
dalvyx [7]

Function transformation involves changing the form of a function

The function g(x) is \mathbf{g(x) = 8(2)^x}

The function is given as:

\mathbf{f(x) = 3^x}

g(x) is an exponential function that passes through points (-2,2) and (-1,4).

An exponential function is represented as:

\mathbf{y = ab^x}

At point (-2,2), we have:

\mathbf{2 = ab^{-2}}

At point (-1,4), we have:

\mathbf{4 = ab^{-1}}

Divide both equations

\mathbf{\frac 42=\frac{ab^{-1}}{ab^{-2}}}

Simplify

\mathbf{2=\frac{b^{-1}}{b^{-2}}}

Apply law of indices

\mathbf{2=b^{-1+2}}

\mathbf{2=b}

Rewrite as:

\mathbf{b =2}

Substitute 2 for b in \mathbf{2 = ab^{-2}}

\mathbf{2 =a(2^{-2})}

This gives

\mathbf{2 =a(\frac 14)}

Multiply both sides by 4

\mathbf{a = 8}

Substitute 8 for (a) and 2 for (b) in \mathbf{y = ab^x}

\mathbf{y = 8(2)^x}

Express as a function

\mathbf{g(x) = 8(2)^x}

Hence, the function g(x) is \mathbf{g(x) = 8(2)^x}

Read more about exponential functions at:

brainly.com/question/11487261

8 0
3 years ago
Bill wants to put a large mural on a wall that is 9 and 1/3 feet long and 8 and 1/8 feet wide. Find the area of the wall. If the
FromTheMoon [43]
If you would like to know what is the area of the wall, you can calculate this using the following steps:

area = length * width
area = 9 1/3 feet * 8 1/8 feet = 28/3 feet * 65/8 feet = 455/6 = 75 5/6 square feet

The area of the wall is 75 5/6 square feet. 

If the mural is 100 square feet, it won't fit on the wall, because 100 > 75 5/6.
4 0
4 years ago
Read 2 more answers
How to solve 9x-(4x-1)=2
koban [17]

first, we can distribute the negative into the numbers in parentheses

9x-(4x-1)=2

9x-4x+1=2

now we can combine like terms and then isolate x

5x + 1 = 2

5x = 1

x = 1/5

hope this helps

5 0
4 years ago
A square photograph has a perimeter of 20 inches what is the area of the photograph
navik [9.2K]
Since it's a square it must have 4 sides.
20÷4=5

area=l×w or b×h
5×5=25 (the sides of a square have the same length)

the area of the photograph is 25in²

hope this helped
7 0
4 years ago
What is <br> 7w(-8 + 3w) and <br> 6q(-4 + 8q)
harina [27]

If you are looking to simplify these equations, here is how you would go about doing so.

7w(-8+3w)

Use a property called the Distributive Property, which means multiplying the number outside of the bracket by each number inside of the brackets.

Here is how this would look:

7w(-8+3w)

-56w+21w²

Now,

6q(-4+8q)

-24q+48q²

Hope this helps.

8 0
4 years ago
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