(f○g)(x)=√(7(x+8))
(f○g)(x)=√(7x+56)
Since there is no real square root of a negative value, the smallest value in the domain would make the radicand equal to zero. x=-8 is the smallest number in the domain of (f○g)(x)
Answer:
Adding the exponents
Step-by-step explanation:
Multiplying exponential terms with the same base
To multiply exponents with same base , we use exponential property
When we multiply exponents with same base then we add the exponents
So, adding the exponents best explains to simplify the expression that has same base with exponents .
49498683837. To work these questions out, use column addition, it is a quick and simple way to add large numbers.
Answer:
The height is 12.9m
Step-by-step explanation:
First we have to find the distance from the corner of the flag to the opposite corner, for this we will use Pythagoras
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
h² = s1² + s2²
h² = 10² + 20²
h² = 100 + 400
h² = 500
h = √500
h = 22.36
Now that we know this measurement we can calculate the height of the flagpole
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 30
a: adjacent = 22.36
o: opposite = ?
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
is the tangent
tan α = o/a
tan 30 = o/22.36
tan30 * 22.36 = o
12.9 = o
The height is 12.9m
You are told to choose the choices equal to T(8). T(8) means that you need to find the possible ways to write the y-value when n = 8, since 8 is being substituted in for "n."
1) First, plug in n = 8 into the equation you're given, <span>T(n) = 4n - 5:
T(8) = 4(8) - 5
T(8) = 32 - 5
T(8) = 27
That is answer choice C, making choice C correct. You can eliminate choice B, since 27 </span>≠ 37.
2) Check answer choice A. Is T(5) + T(3) = 27? T(5) means you need to plug in 5 for n. T(3) means you need to plug in 3 for n.
T(5) + T(3)
= [4(5) - 5] + [4(3) - 5]
= [20-5] + [12-5]
= 15 + 7
= 22
Since 22 ≠ 27, you can eliminate choice A.
3) Check answer choice D. Is T(7) + 4 = 27? T(7) means you need to plug in 7 for n.
T(7) + 4
= [<span>4(7) - 5] + 4
</span>= [28 - 5] + 4
= 23 + 4
= 27
Since 27 = 27, answer choice D is also correct!
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Answer: Choice C (27) and Choice D (T(7) + 4)
