Math day!,which 2 boxes

Mathematics

1 answer:

Dima020 [189]3 years ago

4 0

Answer:

A and D

Step-by-step explanation:

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Which function represents a reflection of f(x) = 5(0.8)^x across the x-axis?

Vikki [24]

Answer: The correct option is second.

Explanation:

The given function is,

$f(x)=5(0.8)^x$

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).

When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

$(x,y)\rightarrow(x,-y)$

The given given equation can be written as,

$y=5(0.8)^x$

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

$-y=-5(0.8)^x$

Because f(x)=y and g(x)=-y.

$g(x)=-5(0.8)^x$

Therefore the second option is correct and the graph of both function is given below.

6 0

3 years ago

Read 2 more answers

Which one is bigger and how do you know? 1/8 or 1/9 (Give at least two strategies) i

scoray [572]

Answer:

1/8 is the bigger fraction

Step-by-step explanation:

When comparing fractions with different denominators, and the numerator is one, like 1/8. The one with the smaller number for the denominator is greater.

You could also compare them by finding common denominators, so for 1/8 and 1/9, a common denominator would be /63. So you would take $\frac{1}{8}$ and multiply that by $\frac{9}{9}$ . You would then get $\frac{9}{63}$ . When you take $\frac{1}{9}$ times $\frac{8}{8}$ you get $\frac{8}{63}$ . So when comparing you can see that 1/8 is greater than 1/9.