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lara [203]
3 years ago
13

Write the cubic polynomial function f(x) in expanded form with zeros -5, -3, and 2, given that f(0) = -60.

Mathematics
1 answer:
Liula [17]3 years ago
5 0

Hi there!

y = 2(x + 5)(x + 3)(x - 2)

Since we are given the zeros, we can derive the basic equation in expanded form:

x = -5

(x + 5)

x = -3

(x + 3)

x = 2

(x - 2)

y = (x + 5)(x + 3)(x - 2)

Multiplying the numbers, however, only gets -30. The y-intercept is -60, so we need a coefficent of 2 in the equation:

y = 2(x + 5)(x + 3)(x - 2)

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Find x (in degrees) in the following quadrilateral.
Ber [7]

Answer:

x = 110°

Step-by-step explanation:

The sum of the interior angles in a quadrilateral is 360°. This means:

x + x + x - 30 + 1/2x + 5 = 360° - we can simplify this

3 1/2x - 25 = 360° - now add 25 to both sides

3 1/2x = 385 - finally divide both sides by 3 1/2

x = 385 ÷ 3.5 = 110

x = 110°

Hope this helps!

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2 years ago
A box of colored pencils cost $4.50 if there are 40 pencils how much would 60 pencils cost
OLga [1]

Answer:

6.75

Step-by-step explanation:

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3 years ago
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For a parabola with a minimum point at (3,-1), determine the equation for the function's axis of symmetry
algol [13]

Answer:

x=3

(Do not write a character less than what I have written; 3 is not the answer but x=3 is the answer.)

Step-by-step explanation:

Parabolas have a axis of symmetry; this is the line they are symmetrical about.  

The line of symmetry will always go through the vertex.

Since your question says it is a function the line will be vertical and will be of the form x=a number.

The number is determine by the x-coordinate of the vertex.

I know the vertex of your problem is (3,-1) because it says that is the minimum point of the graph.  The vertex of a parabola will always be it's maximum (this parabola is open down) or minimum (this parabola is open up).

So the axis of symmetry is just:

x=3.

You must actually write x=3.

3 is not the answer.

x=3 is the answer.

Little note down here:

(If it had said the parabola wasn't a function, the axis of symmetry would have been horizontal and therefore of the form y=a number where the number was the y-coordinate of the vertex.)

8 0
3 years ago
Read 2 more answers
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irakobra [83]

Answer: $2,461

Step-by-step explanation:

$124.30 X 65% = $80.79 (Rounded $80.80)

$124.30 + $80.80 = $205.10 X 12 (Months) = $2,461

5 0
4 years ago
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