I = / r where I = current and r = resistance
80 = k / 50 so
k = 400
so we have I = 400/r
when r = 40
I = 400/40 = 10 amps
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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Step-by-step explanation:
I dont know if this helps but that what I came up with
The measures of the angles are 30, 60 and 90 degrees.
Explanation:
I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.
If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor
x
. And, the sum of the measures of the angles of a triangle is
180
.
⇒
2
x
+
4
x
+
6
x
=
180
12
x
=
180
12
x
12
=
180
12
x
=
15
The measures of the angles are:
2
x
=
2
(
15
)
=
30
4
x
=
4
(
15
)
=
60
6
x
=
6
(
15
)
=
90
Answer:
a. x > 0.2
Step-by-step explanation:
In either order, subtract the left-side constant and divide by the x-coefficient.
3x +2.4 > 3
3x > 0.6 . . . . . . subtract 2.4
x > 0.2 . . . . . . . divide by 3
__
or
x + 0.8 > 1 . . . . divide by 3
x > 0.2 . . . . . . . subtract 0.8