2.) 9a - 6a What’s The Greatest Common Factor

DRAG EACH tile to the correct box.

m_a_m_a [10]

Answer:

The matched table:

A. vertical stretch of a factor of 3 ⇒ g ( x ) = 3 (5)ˣ

B. vertical compression of a factor of 1/3 ⇒ g ( x ) = 1/3 (5)ˣ

C. horizontal stretch of a factor of 3 ⇒ $g(x) = 5^{\frac{1}{3}x}$

D. horizontal compression of a factor of 1/3 ⇒ $g(x) = 5^{3x}$

Step-by-step explanation:

IDENTIFYING VERTICAL STRETCH AND COMPRESSION

Let us consider the given function f(x) = 5ˣ

The function g ( x ) = 3 (5)ˣ would be vertically stretched by 3, as value of the multiplied constant '3' is greater than 1.

And the function g ( x ) = 1/3 (5)ˣ would be compressed vertically by 1/3, as the value of the multiplied constant '1/3' is less than 1.

IDENTIFYING HORIZONTAL STRETCH AND COMPRESSION

Let us consider the given function f(x) = 5ˣ

Note: please remember that when the function input gets multiplied by a positive constant - assuming that constant as 'b' - we would obtain a function - a transformed function with a graph horizontally compressed or stretched.

If b > 1, the graph would be horizontally compressed by a factor of 1/b.

If 0 < b < 1, the graph would be horizontally stretched 1/b.

So the function $g(x) = 5^{\frac{1}{3}x}$ would be horizontally stretched by 3. The reason is simple. The constant value 1/3 is greater than 0 but lesser than 1.

And the function $g(x) = 5^{3x}$ would be stretched vertically by 3. The reason is simple. The constant value 3 is greater than 1.

So, the correct box would look like this:

A. vertical stretch of a factor of 3 ⇒ g ( x ) = 3 (5)ˣ

B. vertical compression of a factor of 1/3 ⇒ g ( x ) = 1/3 (5)ˣ

C. horizontal stretch of a factor of 3 ⇒ $g(x) = 5^{\frac{1}{3}x}$

D. horizontal compression of a factor of 1/3 ⇒ $g(x) = 5^{3x}$

Keywords: transformation, horizontal stretch and compression, vertical stretch and compression

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5 0

4 years ago

Help find the area and perimeter for these two shapes! explain your reasoning aswell

a_sh-v [17]

Answer:

1.179.17

Step-by-step explanation:

area of triangle= height*base/2=25.48

there are 4 triangles so multiply 25.48*4=101.92

Since it’s a regular octagon, all the sides are equal to = 4cm

Like shown above in the diagram, the sides of the octagon can be extended such that it forms a square.

According to Pythagorean theorem, x2 + x2 = 42; 2x2 = 16

x = √8cm

Total side length for the square= 4 + √8 + √8 = 9.657cm

Area of square= (9.657cm) 2 = 93.25cm2

Area of 4 triangles= 4 (1/2 * √8 * √8) = 16.0cm

Area of octagon, A = Area of square – Area of 4 triangles = 93.25 – 16.0 = 77.25cm2

now add 101.92+77.25=179.17

3 0

3 years ago

Help please ASAP I really need this

iragen [17]

Answer: The probability that the sum is 11 given that the first cube shows a 6.

Step-by-step explanation:

By the definition of conditional probability,

If we have two probabilities A and B where A and B are dependent variable,

If we have to find the probability of occurring the event A when B is given ,

Then we find P(A/B).

Here A is the event that there is 6 in first die when we rolled two dice,

And, B is the event that the sum of the numbers shown in both die is 11,

Hence, P(A/B) shows, The probability that the sum is 11 given that the first cube shows a 6.

3 0

3 years ago

3. Determine whether each table represents a function. Select Function or Not a Function for each. (Lesso

Dafna1 [17]

ANSWER :

Watch that , for option 1 , 3 and 4 there is two values of Y for same X . That is not possible at all. Because How can a function gives you two different output as for same input ? So it is very Clear that Option 2 is a function and the other are not function. I have marked Which are function and which are not.

8 0

2 years ago

Help me please this is due in 15

katovenus [111]

It’s true. I hope that helps

3 0

3 years ago

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