4, 3, 2, 5, 6, 6, 10, 5, 6, 2, 3, 4, 6, 7, 14,5<br><br>
3. What is the mode(s) of the data set?
guapka [62]
Answer:
6
Step-by-step explanation:
6 shows up 4 times
The transformation of a function may involve any change. The correct option is D.
<h3>How does the transformation of a function happen?</h3>
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
- Left shift by c units, y=f(x+c) (same output, but c units earlier)
- Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
- Up by d units: y = f(x) + d
- Down by d units: y = f(x) - d
Stretching:
- Vertical stretch by a factor k: y = k \times f(x)
- Horizontal stretch by a factor k: y = f(\dfrac{x}{k})
Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.
Learn more about Transforming functions:
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Answer:
x=10
A = 84
Step-by-step explanation:
A and B are supplementary angles so they add to 180 degrees
A + B =180
2x+76 + 5x+34 = 180
Combine like terms
7x+ 110 = 180
7x+110-110 = 180-110
7x = 70
Divide by 7
x = 10
Now find A
A = 5x+34
A = 5*10 +34
= 50+34
A = 84
Answer:
Thanks so much!!!! Have a great day!
Step-by-step explanation:
We can answer the question above by using the trigonometric functions and the concept of similar triangles.
Given that cos (L) is 4/5. The length of sides PN and NL can be solved. Please see solution below.
4/5 = NL / 15 ; NL = 12
Solving for PN,
PN² + 12² = 15²
The value of PN is 9.
Then, using the concept of similar triangles,
KN/(KN + NL) = PN/ KM
Substituting the known values,
4/(4 + 12) = 9 / KM
The value of KM is 36.