All categories

1 year ago

The function g(x)=8(4x) is reflected across the x-axis to create f(x) What is the equation of f(x)?

Mathematics

1 answer:

Law Incorporation [45]1 year ago

7 0

Answer:

g(x)=-32x

Step-by-step explanation:

When something is reflected over the x-axis. The x doesn't change, it's the y that changes. So let's just generally say you have the point (x, y). Reflecting this over the x-axis means the y is changing, so it becomes (x, -y). And since the g(x) represents the y, you multiply the entire thing by -1. So the new equation becomes: g(x) = -(8(4x)) = -8(4x) = -32x. So the equation is g(x) = -32x or -8(4x) if you want to leave it like how it was before.

You might be interested in

Car A is currently traveling 8 miles per hour slower than Car B. If Car A is currently traveling at a speed of 58 mile per hour,

garri49 [273]

58 + 8 = 66 miles per hour

3 0

2 years ago

What's the full answer

Jet001 [13]

????????????????????????

8 0

3 years ago

Highest place value for 54

zvonat [6]

Answer:

tens=5

Step-by-step explanation:

4 0

3 years ago

It cost Evan $17.70 to send 177 text messages. How many text messages did he send if he spent $19.10?

rusak2 [61]

Answer:

191

Step-by-step explanation:

The amount spent for a single text: 177/17,7=0,1

x×0,1=19,1

x=19,1/0,1

x=191

6 0

2 years ago

A population has a mean of 300 and a standard deviation of 40. Suppose a sample of size 100 is selected and is used to estimate

bazaltina [42]

Answer:

a: 0.9544 9 within 8 units)

b: 0.9940

Step-by-step explanation:

We have µ = 300 and σ = 40. The sample size, n = 100.

For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:

P(292 < x < 308).

We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.

We have P(292 < x < 308) = 0.9544

Next we want the probability of the sample mean to be within 11 units of the population mean, so we want the values from 289 to 311. We want to find

P(289 < x < 311)

We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.

We have P(289 < x < 311) = 0.9940

5 0

2 years ago