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4 years ago

[PLS HELP ASAPPP] What is 6 2/3 minus 4 4/9

Mathematics

2 answers:

Delicious77 [7]4 years ago

7 0

Answer:

Exact form would be 20/9

Decimal form would be 2.2

Mixed number form would be 2 2/9

max2010maxim [7]4 years ago

7 0

Answer:

Step-by-step explanation:

2 2/9

(6-4) +( 2/3- 4/9)

2+ 2/9

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Please help me! Due soon!

givi [52]

Answer:

70/9

Step-by-step explanation:

We have the quadratic:

$3x^2+4x-9$

So, let’s find the roots of the quadratic. We will set the expression equal to 0:

$3x^2+4x-9=0$

Testing for factors, we can see that our quadratic isn’t factorable.

So, we can use the Quadratic Formula. The quadratic formula is given by:

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

In this case:

$a=3, b=4,\text{ and } c=-9$

Therefore, by substitution:

$\displaystyle x=\frac{-(4)\pm\sqrt{(4)^2-4(3)(-9)}}{2(3)}$

Evaluate:

$\displaystyle x=\frac{-4\pm\sqrt{124}}{6}$

Simplify the square root:

$\sqrt{124}=\sqrt{4\cdot31}=2\sqrt{31}$

Hence:

$\displaystyle x=\frac{-4\pm2\sqrt{31}}{6}$

Reduce:

$\displaystyle x=\frac{-2\pm\sqrt{31}}{3}$

So, our roots are:

$\displaystyle x_1=\frac{-2+\sqrt{31}}{3}, x_2=\frac{-2-\sqrt{31}}{3}$

We want to find the sum of the <em>squares</em> of our two roots. So, let’s square each term:

$\displaystyle (x_1)^2=\Big(\frac{-2+\sqrt{31}}{3}\Big)^2$

Square. For the numerator, we can use the perfect square trinomial patten where:

$(a+b)^2=(a^2+2ab+b^2)$

Therefore:

$\displaystyle (x_1)^2=\Big(\frac{(-2)^2+2(-2)(\sqrt{31})+(\sqrt{31})^2}{9}\Big)$

Simplify:

$\displaystyle (x_1)^2=\frac{35-4\sqrt{31}}{9}$

Similarly, for the second root, we will have:

$\displaystyle (x_2)^2=\Big(\frac{-2-\sqrt{31}}{3}\Big)^2$

So:

$\displaystyle (x_2)^2=\Big(\frac{(-2)^2+2(-2)(-\sqrt{31})+(-\sqrt{31})^2}{9}\Big)$

Simplify:

$\displaystyle (x_2)^2=\frac{35+4\sqrt{31}}{9}$

Therefore, our sum will be:

$\displaystyle (x_1)^2+(x_2)^2\\\\ \begin{aligned} &=\frac{35-4\sqrt{31}}{9}+\frac{35+4\sqrt{31}}{9}\\&=\frac{35-4\sqrt{31}+35+4\sqrt{31}}{9}\\&=\frac{70}{9}\end{aligned}$

Therefore, our final answer is 70/9.

3 0

3 years ago

1. Repartir $ 264 en forma inversamente proporcional al número de atrasos de los trabajadores de una cafetería, Juan 2 atrasos,

nlexa [21]

Explanation:

Here's the clearer rendering of the text;

1. Distribute $ 264 inversely proportional to the number of arrears of the workers of a cafeteria, Juan 2 arrears, Pedro 3 arrears and José 6 arrears. Underline the intermediate value. A) 44 b) 88 c) 264 d) 132 e) 70

2. Distribute 594 points inversely proportional to the errors of each player. Angel 2 errors, Mateo 3 errors, María 6 errors and Antonio 10 errors. Point out the highest number of points delivered. A) 270 b) 180 c) 90 d) 54 e) 18

3. Divide 867 inversely proportionally the calls for attention Juan 3 calls for attention, Andrés 4 calls for attention and Santiago 8 calls for attention. Underline the lowest value. A) 408 b) 102 c) 153 d) 204 e) 255

6 0

3 years ago

If P is the midpoint of ST, SP=x+4and ST=4x determine the length of ST

mario62 [17]

The answer for ST is 8