Let's represent Nemo's age with an n.
Barney is 8 years older so his age is nemo's plus 8. That is, Barney's age is n + 8
In seven years they will each be the age they are now plus 7. So, Nemo will be n + 7 and Barney will be n + 8 + 7. If the sum of their ages will be 46 we know that when we add these expressions we should get 46, so let's set the sum to 46 and solve for n.
n + 7 + n + 8 + 7 = 46
2n + 22 = 46
2n = 46 - 22
2n = 24
n = 12
That means that Nemo's age is 12.
Since Barney is 8 years older his age is 12 + 8 = 20.
To check our work we see that in 7 years Nemo will be 12 + 7 = 19 and Barney will be 20 + 7 = 27. Together that is 19 +27 = 46 as expected.
The polynomial functions in their expanded form is given as follows. It is right to state that there are no breaks in the domain of h(x).
<h3>
What is a polynomial function?</h3>
In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.
For instance, the polynomial 3x+4 has an exponent of 1.
Part A: F(x) has zero at 2 and multiplicity of 1; and
1 at the multiplicity of 2
f(x) = x-2) (x-1)²
= (x-2) (x² - 2x + 1)
= x³ - 4x² + 5x -2
Part B: h (x) = ![\left \{ {{x^3 -4x^2 + 5x -2; X < 0} \atop {\sqrt[3]{x-2} ; X\geq 0 }} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Bx%5E3%20-4x%5E2%20%2B%205x%20-2%3B%20X%20%3C%200%7D%20%5Catop%20%7B%5Csqrt%5B3%5D%7Bx-2%7D%20%3B%20X%5Cgeq%200%20%7D%7D%20%5Cright.)
The domain of X is X ∈ R
Hence it is correct to state that there are no breaks in the domain of h(x).
Learn more about polynomial functions:
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Answer:
The answer would be X=24
Step-by-step explanation:
Y is multiplied by 3 to get the answer 30. Because they are varied directly you have to multiply the 8 by 3 to get your answer!
-Hope this helps-
~Bai~
Answer:
watch vedio
Step-by-step explanation:
gsinssuksbsi
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (0, - 2 ) ← 2 points on the line
m =
=
= - 
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
f(x) = -
x - 2 ← function rule