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2 years ago

Which best describes thepolynomial 7xy - 15y^3

Mathematics

1 answer:

otez555 [7]2 years ago

8 0

Answer:

Step-by-step explanThis polynomial has three terms. The first one is 4x2, the second is 6x, and the third is 5. The exponent of the first term is 2. The exponent of the second term is 1

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

3 0

2 years ago

3. List the coefficients in the expression below. 14x - 7x + 1-2x

elena-14-01-66 [18.8K]

Answer:

14, -7, -2

Step-by-step explanation:

The coefficient is the number that multiplies the variable, so list the numbers that fall under that definition:

14x - 7x + 1 - 2x

↑ ↑ ↑

14 -7 -2

The coefficients in the expression are 14, -7, and -2.

7 0

2 years ago

3 divided by 4 in fraction form

Kitty [74]

Answer: 3/4 is the answer

3 0

2 years ago

WHAT IS 9+8+9-2+5x5+5-25+5-4+2+-2+4-+2-5+4-2+5-4+2-5+4-1+5-4+-2+4-2+5-4+2-4 +-+

a_sh-v [17]

Answer:

Step-by-step explanation:

cause you had to doit the simple math problem

are you trying to prank on this problem

8 0

3 years ago

What is 8/15 plus 2/5 equal to

anastassius [24]

We have to add 8/15 to 2/5.

To add two fractions we have to make them have the same denominator, so we have to convert 2/5 to have a denominator of 15. To do this, we have to multiply 2/5 by 3 and then we can add the fractions:

$\begin{gathered} \frac{8}{15}+\frac{2}{5} \\ \frac{8}{15}+\frac{2}{5}\cdot\frac{3}{3} \\ \frac{8}{15}+\frac{6}{15} \\ \frac{14}{15} \end{gathered}$

Answer: 14/15

5 0

11 months ago