The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = – 3. The y-intercer
1 answer:
9514 1404 393
Answer:
P(x) = -1/2(x -3)²(x +3)
Step-by-step explanation:
When q is a root of the polynomial, (x-q) is a factor. This polynomial will be ...
P(x) = a(x -3)²(x +3)
For x=0, the y-intercept will be ...
P(0) = 27a = -13.5
Then the value of a is ...
a = -13.5/27 = -1/2
The formula for P(x) is ...
P(x) = -1/2(x -3)²(x +3) . . . . . . factored form
P(x) = -0.5x³ +1.5x² +4.5x -13.5 . . . . standard form
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Answer:
Step-by-step explanation:
Given: The ratio of cups of sparkling water to cups of grape juice concentrate is in a recipe for fizzy grape juice.
To find: two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe
Solution:
Equivalent ratios are the ratios that have the same value.
Find two ratios equivalent to
Multiply both numerator and denominator of by 2
Multiply both numerator and denominator of by 3
So, two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe are
The machines represent equivalent expressions.
The output produced by both machines is 372
The equation represented on machine A is:
The equation represented on machine B is:
Where: x and y represent the inputs and the outputs, respectively
When the outputs are the same, it means:
So, we have:
Open brackets
Collect like terms
Divide both sides by 2
Substitute 39 for x in
Hence, the output produced by both machines is 372
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