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nekit [7.7K]
3 years ago
10

If two polynomial equations have real solutions, then will the equation that is the result of adding, subtracting, or multiplyin

g the two polynomial equations also have solutions?
Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

No. A polynomial equation in one variablel ooks like P(x) = Q(x), where P and Q are polynomials.

Consider polynomial equations x^2 = 3 and x^2 = 1.

Obviously they have real solutions.

Subtract the two polynomial equations:

(x^2 - x^2) = (3 - 1)

0 = 2...

We get the polynomial equation 0 = 2. We call this a polynomial equation because single constants are also by definition polynomials.

Obviously 0 = 2 has no real solution.

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Making $40 payments each Friday,
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8 0
3 years ago
Which expression is equivalent to 5/6 ÷ 4
Ronch [10]

Answer:

5/24 or in decimal form 0.2083

Hope this helped

4 0
3 years ago
A stock has had returns of 7 percent, 25 percent, 17 percent, −13 percent, 25 percent, and −6 percent over the last six years. W
Tems11 [23]

Answer: Geometric average return would be 0.10% and arithmetic average return would be 9.17%.

Step-by-step explanation:

Since we have given that

Returns are as follows:

7%, 25%, 175, -13%, 25% and -6%.

Geometric return is given by

\sqrt[6]{(1+0.07)(1+0.25)(1+0.17)(1-0.13)(1+0.25)(1-0.06)}-1\\\\=\sqrt[6]{(1.17)(1.25)(1.17)(0.87)(1.25)(0.94)}-1\\\\=0.097\%=0.10\%

Arithmetic average return would be

\dfrac{7+25+17-13+25-6}{6}=9.17\%

Hence, geometric average return would be 0.10% and arithmetic average return would be 9.17%.

7 0
3 years ago
A child is flying a kite 145ft above the ground. The string makes an angle of 57 degrees from the child's hands. How much has be
Arturiano [62]

Answer: the length of string that been let out to fly the kite this high is 172.89 ft

Step-by-step explanation:

The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.

With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.

The height of the kite above the ground represents the opposite side of the triangle

To determine h, the length of the string that has been let out to fly the kite this high, we would apply the

Sine trigonometric ratio which is expressed as

Sine θ = opposite side/hypotenuse

Sin 57 = 145/h

h = 145/Sin57 = 145/0.8387

h = 172.89

7 0
3 years ago
Does the quadratic have a maximum or minimum
STALIN [3.7K]

Answer:

B)max/ opens down

Step-by-step explanation:

Parabola equation:

The equation of a parabola has the following format:

y = ax^2 + bx + c

If a > 0, that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.

If a < 0, that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.

In this question:

y = -x^2 - 2x + 3

From the graph, we already see that it opens down and has a max, and analitically, since a = -1 < 0, this is confirmed. The correct answer is given by option b.

7 0
3 years ago
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