Answer:
x = 5.6 or you can write like this: x = 5 3/5
Step-by-step explanation:
Answer:
(x - 2)² + (y - 6)² = 49
Step-by-step explanation:
Equation of a circle formula: (x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius
Given, center = (2, 6) and radius = 7
Substitute this information in the equation of a circle formula.
⇒ Equation of the circle: (x - 2)² + (y - 6)² = 49
In the fairest school 70% are below 16 years old
1/3 are teachers which is equals to = 21
Let’s start solving:
=> 1/3 of 100%
=> 100 / 3 = 33.33%
thus 33.33% = 21
=> 21 x 3 = 63, is the total number of people in the school.
Let’s try solving the number of people below 16 years old
Have you notice that you are asking for a 70% of students but there are already 33.33% of teacher. Thus your given problem is not right already.
=> 100% - 33.33% = 66.67% that’s the only remaining percentage and not 70%
=> 63 * .6667 = 42.0021
Thus, there are around 42 people who are 16 years old younger.
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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