Step-by-step explanation:
Let the number is a <em>and</em><em> </em>b
The sum of two numbers =30
so,a+b=30 <em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>1</em><em>)</em>
The difference of two number =12
so,a-b=12<em> </em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>2</em><em>)</em>
If we add two equation (1) and (2)
we get,
a+b+a-b=30+12
2a=42
so,one number is a=21
if we put the value a in (2) equation
we get,
a-b=12
21-b=12
b=21-12
b=9
so,the another number is=b=9
X^2-3x-18
If your zeros are -3 and +6 your factors should be (x+3) and (x-6) then you would multiply it out to get your polynomial which is x^2-3x-18
First Part:
The minimum value is -0.75
The maximum value is 0.75
Second Part:
The amplitude is 0.75
Third Part:
An equation for this function is y = 0.75cos(x)
Answer:
Hence, the quotient is 270 and remainder is 4.
Step-by-step explanation:
Let R denotes the remainder after dividing.
We are asked to find the quotient when 6,484 is divided by 24.
On dividing the number 6,484 by long division method we will see that the dividend is not divisible completely that is it is not a factor of 24.
i.e. (6484)÷24=270.16666.
Hence we are also left with a remainder.
The quotient on solving the problem is 270.
and the remainder is 4.
Also in other way we could see that when 6484 is subtracted by the remainder and then divided by 24 then it is completely divisible i.e. we get remainder to be zero i.e.
(6484-4)÷24=(6480)÷24= 270.
Answer: Choice A
Domain = all real numbers
Range = real numbers greater than or equal to -4
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Explanation:
The domain is the set of allowed x inputs of a function.
We can replace x with any number we want to get some output for y = f(x)
This tells us the domain is the set of all real numbers.
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The range is the set of numbers y such that 
In other words, we can have y = -4 or y > -4
This is because y = -4 is the lowest output possible, as indicated by the vertex point.