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3 years ago

2.6 in fraction form

Mathematics

2 answers:

Sonja [21]3 years ago

7 0

Easiest way to do it is to make it 26/10 then simplify
26/10 is divisible by 2
13/5
Final answer is 13/5

Andru [333]3 years ago

6 0

2 3/5...........................

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Use the quadratic formula to solve the following equation -3x^2-x-3=0

tigry1 [53]

Answer:

$x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i$ are two roots of equation $-3 x^{2}-x-3=0$

Solution:

Need to solve given equation using quadratic formula.

$-3 x^{2}-x-3=0$

General form of quadratic equation is $a x^{2}+b x+c=0$

And quadratic formula for getting roots of quadratic equation is

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case b = -1 , a = -3 and c = -3

Calculating roots of the equation we get

$\begin{array}{l}{x=\frac{-(-1) \pm \sqrt{(-1)^{2}-4(-3)(-3)}}{2 \times-3}} \\\\ {x=-\frac{1}{6} \pm\left(-\frac{\sqrt{-35}}{6}\right)}\end{array}$

Since $b^{2}-4 a c$ is equal to -35, which is less than zero, so given equation will not have real roots and have complex roots.

$\begin{array}{l}{\text { Hence } x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i \text { are two roots of equation - }} \\ {3 x^{2}-x-3=0}\end{array}$

8 0

3 years ago

choli [55]

Answer: B.x^3+4x^2-19x+14 is correct

Step-by-step explanation:

(x + 7)(x2 – 3x + 2)

Multiplying both

x^3-3x^2+2x+7x^2-21x+14

x^3+4x^2-19x+14

7 0

3 years ago

Suppose y varies directly with x, and y= 10 when x=-2. What direct variation equation relates x and y? What is the value of y wh

Musya8 [376]

The statement " y varies directly as x ," means that when x increases,y increases by the same factor. In other words, y and x always have the same ratio:

= k

where k is the constant of variation.
We can also express the relationship between x and y as:

y = kx

where k is the constant of variation.

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x , and y = 6 when x = 2 , the constant of variation is k = = 3 . Thus, the equation describing this direct variation is y = 3x .

Example 1: If y varies directly as x , and x = 12 when y = 9 , what is the equation that describes this direct variation?

k = = 
y = x

Example 2: If y varies directly as x , and the constant of variation is k = , what is y when x = 9 ?

y = x = (9) = 15

As previously stated, k is constant for every point; i.e., the ratio between the y -coordinate of a point and the x -coordinate of a point is constant. Thus, given any two points (x 1, y 1) and (x 2, y 2) that satisfy the equation, = k and = k . Consequently, = for any two points that satisfy the equation.

Example 3: If y varies directly as x , and y = 15 when x = 10 , then what is y when x = 6 ?

 = 
 = 
6() = y 
y = 9

3 0

3 years ago

A two-word phrase used to show division in a word problem.

9966 [12]

Not sure which ones you are supposed to know so here are some possible answers:
ratio of,
divided by,
quotient of,
out of.

8 0

3 years ago

Find the value of b. Round your answer to the nearest tenth.

Arturiano [62]

Answer:

You need to include a picture because there is no figure. I don't know the other numbers of the angles orsides.

Step-by-step explanation:

7 0

3 years ago