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3 years ago

Which expression can you substitute

Mathematics

1 answer:

valina [46]3 years ago

7 0

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(30/19,2/19)

Equation Form: x=30/19, y=2/19

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The Davis family has five children and one dog. Claudia is 5 years older than Nicki. Nicki's twin brother, Hunter, is 12 years o

Juli2301 [7.4K]

Nicki:x (12)
Claudia:x+5
Hunter:12
Decade=10 years
Dog: x-10
Philip:(x-10)+3=x-7
Sara: x-8
Sara:4

5 0

3 years ago

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

What is 0.0162 as a fraction

CaHeK987 [17]

You have to ask yourself how would you read that decimal? It is 162 ten-thousandths because the last digit, which is 2 is in the ten-thousandths place. So the fraction would be 162/10000

5 0

3 years ago

Factor the expression: 12x + 16

12345 [234]

Answer:

12x+16

~Grouping~

12+16

4(3+4)

~Solution~

4(3+4)

Step-by-step explanation:

Hope that helps!!! :)

6 0

3 years ago

Read 2 more answers

Please help please hurry

frosja888 [35]

Answer:

50 i think

Step-by-step explanation:

3 0

3 years ago