G(x)=4x^2-16
To shift to the right we have to subtract from the value of x, in this case by 5 units...
h(x)=4(x-5)^2-16
h(x)=4(x^2-10x+25)-16
h(x)=4x^2-40x+100-16
h(x)=4x^2-40x+84
Now to shift the function downwards by 2 units we must subtract the constant 2 from h(x)
h(x)=4x^2-40x+84-2
h(x)=4x^2-40x+82
Let D be dogs and C be cats
<em>dogs, d, is initially five less than twice the number of cats, c</em>
D + 5 = 2C
<em>If she decides to add three more of each, the ratio of cats to dogs will be</em>
D + 8 = 2C + 3
<em>Could Bea's Pet Shop initially have 15 cats and 20 dogs?</em>
Simply plug in the numbers
20 + 5 = 2(15)
This is clearly not true: 25 does not equal 30
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Answer:
f(x) has two imaginary roots and one real root.
Step-by-step explanation:
Complex roots:
I a complex number 
is a root of a polynomial, it's conjugate 
is also a root.
One root of a third degree polynomial function f(x) is -5 + 2i.
This means that -5 - 2i is another root of the polynomial, and thus, 2 of the roots are complex.
Third degree, so it has three roots, which means that the third root is real(not possible to have a complex root without it's conjugate), and thus, the correct answer is:
f(x) has two imaginary roots and one real root.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Percentage of voters who plan to re-elect mayor = 44%
Margin of Error in measurement = ±3 % points
The absolute value inequality to find the lowest and greatest percent of points :
X = mid value
44% = estimated percentage
≤3 = error margin
Hence,
|mid value - estimate| ≤ error margin
|x−44|≤3
Hence,
-3 ≤ x - 44 ≤ +3
-3 + 44 ≤ x ≤ 3 + 44
41 ≤ x ≤ 47
Hence,
Least percentage point = 41
Greatesr percentage point = 47
1/5 of 400 = 80
400 x 1/5 = 400/5
400/5 = 80
