Topic:
Multiplying Polynomials
Answer:
Polynomial 1:
Polynomial 2:
Polynomial 3:
Step-by-step explanation:
Polynomial 1:
It has 3 terms, so it's a <u>trinomial</u>.
Polynomial 2:
There is one term with x and x is raised to the first degree, so it's <u>linear</u>.
There are 2 terms, so it's a <u>binomial</u>.
Polynomial 3:
Since there are no variables and the answer is just 2, it's a <u>constant</u>.
Note: I took a test on this and it seemed to be all correct
Answer:
Step-by-step explanation:
Given
Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios
When and
When Red = 2
Equate both ratios
Convert to division
Convert fractions to improper fraction
Make Blue the subject
Answer:
Step-by-step explanation:
There are a couple of transformations that may be of interest:
g(x) = k·f(x) . . . . vertical scaling by a factor of k
g(x) = f(x) +k . . . vertical translation by k units (up)
g(x) = f(x -k) . . . horizontal translation by k units (right); <em>not used here</em>
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Unlike the square root function, which is undefined for negative values, the cube root function is defined for all real numbers. Its domain and range are all real numbers.
The turning point of a cube-root function is the origin. Here, that has been translated down 1 unit, so it is (0, -1). That is also the y-intercept.
The x-intercept is the value of x where g(x)=0:
0 = 3∛x -1
1 = 3∛x
1/3 = ∛x
(1/3)³ = x = 1/27
The x-intercept is (1/27, 0).
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<u>Transformations</u>
As we discussed above, the addition of -1 to the parent function causes it to be translated down 1 unit.
The multiplication of the parent function by 3 causes it to be vertically expanded by a factor of 3.
