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3 years ago

What does the expression look like when we substitute the given values for x, y, and z into the expression?

Mathematics

1 answer:

Greeley [361]3 years ago

5 0

The expression will look like 9-(3+2) and will evaluate to 4

Step-by-step explanation:

We have to put the values of x, y and z in the given expression to find the result.

Given:

$x-(y+z)$

And

$x=9\\y=3\\z=2$

Putting the values

$9-(3+2)\\=9-5\\=4$

The expression will look like 9-(3+2) and will evaluate to 4

Keywords: Expressions, Evaluation

Learn more about evaluation at:

#learnwithBrainly

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Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : $R_{90} (x,y)=(-y,x)$

5. Rotation of 180° : $R_{180} (x,y)=(-x,-y)$ .

6. Rotation of 270° : $R_{180} (x,y)=(y,-x)$ .

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is $R_{90} (x,y)=(-y,x)$ .

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is $R_{180} (x,y)=(-x,-y)$ .

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is $R_{180} (x,y)=(y,-x)$ .

5 0

3 years ago

HELP PLEASE ASAP:

VashaNatasha [74]

The average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.

<h3>What is the Average Rate of Change of a Function?</h3>

Average rate of change = $\frac{f(b) - f(a)}{b - a}$ .

Given the function, $f(x)= 3^x + 25$ ,

The average rate of change using the intervals of, x = 2 to x = 6 would be solved as shown below:

a = 2

b = 6

f(a) = $f(2)= 3^2 + 25$ = 34

f(b) = $f(6)= 3^6 + 25$ = 754

Average rate of change = $\frac{754 - 34}{6 - 2} = \frac{720}{4}$

Average rate of change = 180

Therefore, the average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.

Learn more about average rate of change on:

brainly.com/question/8728504

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2 years ago