What is the common ratio of the geometric sequence below?<br> -96, 48, -24, 12, -6, ...

The function h(x) = 12x8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even

Irina-Kira [14]

Answer: translation 8 units to the right

Step-by-step explanation:

An even function is a function such that:

h(x) = h(-x)

and the function is odd if:

h(-x) = -h(x)

Now, let's talk about transformations:

A) Reflection over the x-axis:

When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:

(x, -y).

Then for the case of a function:

y = h(x).

then the reflection will be:

g(x) = - y = -h(x).

And if h(x) is even, -h(x) is also even, so this is not the correct option.

B) Vertical stretch by a factor of 7.

This is written as:

g(x) = 7*h(x).

then:

g(x) = 7*h(x)

g(-x) = 7*h(-x) = 7*h(x) = g(x)

the transformation is even.

C) Translation of 8 units to the right.

We can write this as:

g(x) = h(x - 8).

Then:

g(-x) = h(-x -8) = h(x + 8)

Then g(-x) is not equal to g(x)

and also g(-x) ≠ -g(x)

So in this case the transformation is neither odd or even.

C) horizontal compression by a factor of One-half.

This transformation is written as:

g(x) = h( (1/2)*x)

And, similar as the case of the vertical compression, in this case the transformation is also even.

3 0

3 years ago

Please help. will grant brainliest !

Igoryamba

Answer:

45

Step-by-step explanation:

Substitute i = 1, 2, 3, 4, 5 into the expression and sum the terms

3(1) + 3(2) + 3(3) + 3(4) + 3(5)

= 3 + 6 + 9 + 12 + 15

= 45

7 0

3 years ago

Calculate 41% 0f 51kg

vlabodo [156]

20.91

51 x 0.41 = 20.91

5 0

3 years ago

Read 2 more answers

Each number in the sequence is 8 less than the previous number which list of number can be described by the following rule

Ganezh [65]

Answer: a

Step-by-step explanation:

4 0

3 years ago

The mathematics department of a college has 7 male professors, 6 female professors, 12 male teaching assistants, and 7 female

Natalka [10]

Answer:

0.78125 or 78.125%

Step-by-step explanation:

Male professors = 7

Female professors = 6

Male T.A. = 12

Female T.A. = 7

Number of people in the department = 32

The probability that the selected person is a professor or a male is given by the probability that the person is a professor added to the probability that the person is a male, minus the probability that the person is a male professor:

$P( P\ or\ M) = P(P) +P(M) - P(P\ and\ M)\\P( P\ or\ M) =\frac{7+6}{32}+ \frac{7+12}{32}- \frac{7}{32} \\P( P\ or\ M) = 0.78125 = 78.125\%$

The probability is 0.78125 or 78.125%

6 0

3 years ago

What is the common ratio of the geometric sequence below? -96, 48, -24, 12, -6, ...