The number is 4.
<h3>What is the Quotient?</h3>
A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
Let n be the number in question; then, we can write the word problem as an equation like this:
⇒ (n/6) + 1/3 = 7/6
Multiply everything by the least common multiple of all the denominators (6, 3, 6), which is 6.
⇒ 6(n/6) + 9(1/3) = 6(7/6)
⇒ n + 3 = 7
Subtract 3 from both sides,
⇒ n = 4
Hence, the number is 4.
Learn more about the quotient here:
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Answer: C
Step-by-step explanation:
To factor a trinomial, you need to multiply 'a' and 'c' and see what two number add to equal 'b' but also multiply to equal the product of 'a' and 'c'.
So, what two numbers multiply to equal 16 but simultaneously add to equal 8?
That is +4 and +4. Instead of writing (x+4)(x+4), you can write (x+4)^2, or answer C.
Answer:
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Step-by-step explanation:
Answer:
The value of 
Step-by-step explanation:
Given that 
now to find
from the given functions f(x) and f'x
let 
Then put x=1 in above function we get

(from the table f(1)=3 and f(3)=6)
Therefore h(1)=6
Now to find h'(1)
Let
(since
)
put x=1 in above function we get

(From the table
and
)

Therefore 
Answer:
(x + 14)² + (y – 21/2)² = 1
Step-by-step explanation:
The equation of a circle can be written as seen below
(x – h)² + (y – k)² = r²
Where (h,k) is at the center and r = radius
We are given that the radius is 1
We are also given that the center is at (-14,21/2)
So we know that r = 1, h = -14, and k = 21/2
So to find the equation of the circle we simply substitute these values into the equation of a circle
Equation of a circle: (x – h)² + (y – k)² = r²
r = 1, h = -14, and k = 21/2
Substitute values
(x – (-14))² + (y – 21/2)² = 1²
1^2 = 1
The two negative signs before the 14 cancel out and it changes to + 14
The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1