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3 years ago

Which of the following is a trinomial with a constant term?

Mathematics

1 answer:

iVinArrow [24]3 years ago

6 0

Answer:

Step-by-step explanation:

because a constant term is a number with out a variable

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A randomly generated list of integers from 0 to 4 is being used to simulate an event, with the numbers 1,2 and 3 representing a

Vinil7 [7]

Answer:

The probability of succes is 3/5

Step-by-step explanation:

8 0

3 years ago

A 10-ounce box of cereal costs $3. A 20-ounce box of the same cereal costs $5. A third box of the same cereal costs $8. Calculat

kogti [31]

Answer:

number of ounces in the third box = 32 ounces

Step-by-step explanation:

The number of ounces is directly proportional to the cost

Let O represent the number of ounces, C represent the cost

O∝C----------------Eqn 1

O = KC

K = O÷C = 20/5 = 4

Hence number of ounces in the third box = 4 × 8 = 32 ounces

7 0

4 years ago

2. You deposit $1200 into a bank account. Every year that accounts increase by 15 %.

lord [1]

Answer:

Exponential Growth, 1200(1.15)

Step-by-step explanation:

It is a Growth function because it is "increasing" yearly. The equation is multiplying with 1.15 because when it is increasing, you need to add 1 to the percentage rate.

7 0

3 years ago

The polynomial p(x)=3x^3-20x^2+37x-20 has a known factor of (x-4). Rewrite p(x) as a product of linear factors. p(x) =

vesna_86 [32]

Answer:

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

Step-by-step explanation:

p(x) has degree 3

(x - 4) has degree 1

So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)

$p(x) = (ax^{2} + bx + c)(x - 4)$

To find a, b and c, we have to divide p(x) by x - 4.

Finding a:

Dividing the first term of p(x) by x - 4.

$\frac{3x^{3}}{x - 4} = 3x^{2}$

So a = 3.

Now multiplying 3x² by, x - 4, we have:

$3x^{2}(x - 4) = 3x^{3} - 12x^{2}$

Subtracting p(x) from this:

$3x^{3} - 20x^{2} + 37x - 20 - (3x^{3} - 12x^{2}) = 3x^{3} - 20x^{2} + 37x - 20 - 3x^{3} + 12x^{2} = -8x^{2} + 37x - 20$

Finding b:

Dividing the first term, after the subtraction, by x - 4.

$\frac{-8x^{2}}{x - 4} = -8x$

So b = -8.

Multiplying -8x by x - 4, we have:

$-8x(x-4) = -8x^{2} + 32x$

Then

$-8x^{2} + 37x - 20 - (-8x^{2} + 32x) = -8x^{2} + 37x - 20 + 8x^{2} - 32x = 5x - 20$

Finding c:

$\frac{5x}{x - 4} = 5$

So c = 5.

Just to verify if the remainder is 0.

$5(x - 4) = 5x - 20$

$5x - 20 - (5x - 20) = 0$

Then:

$p(x) = (ax^{2} + bx + c)(x - 4)$

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

7 0

3 years ago

Phillip is standing across the classroom from his desk. He walks x steps in a straight line to his right, turns left at a 90° an

Rainbow [258]

For this case, we can model the problem as a triangle with a right angle.
Where,
x, y: lengths of the sides of the triangle
d: hypotenuse of the triangle
We then have the following relationship:
$d ^ 2 = x ^ 2 + y ^ 2
$
Clearing d we have:
$d = \sqrt{ x^2 + y^2}$
Answer:
A functions that would best model the situation above is:
D square root

6 0

4 years ago