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ella [17]
3 years ago
6

7x2 +11x-6/7x2 - 10x + 3

Mathematics
2 answers:
allsm [11]3 years ago
4 0

Answer:

Here's what I get.

Step-by-step explanation:

\dfrac{ 7x^{2} + 11x - 6}{ 7x^{2} - 10x + 3}

One way is to factor the numerator and the denominator

\dfrac{ 7x^{2} + 11x - 6}{ 7x^{2} - 10x + 3} = \dfrac{(7x - 3)(x + 2)}{ (7x - 3)(x - 1)} = \dfrac{x+2}{x-1}\\\\\text{Except when } x = \dfrac{3}{7}

velikii [3]3 years ago
3 0

Answer:

Final result :

 x + 2

 —————

 x - 1

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   7 • 3 = 21  

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   -10 .

     -21    +    -1    =    -22  

     -7    +    -3    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -3  

                    7x2 - 7x - 3x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   7x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (7x-3)  •  (x-1)

            Which is the desired factorization

Please mark brainliest and have a great day!

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Geoff wants to make a 200 ml of 6% alcohol solution mixing a quantity of a 3% alcohol solution with a 8% alcohol solution. What
Marina86 [1]

Answer:

Volume of 3% alcohol = 80 ml

Volume of 8% alcohol = 120 ml

Step-by-step explanation:

Final volume of 6% alcohol solution = 200 ml

Let the volume of 3% alcohol volume = a ml

Therefore, volume of 8% alcohol = (200 - a) ml

Equation for the given situation will be,

3a + 8(200 - a) = 6×200

3a + 1600 - 8a = 1200

1600 - 5a = 1200

5a = 400

a = 80 ml

Therefore, volume of 3% alcohol to be used = 80 ml

And volume of 8% alcohol to be used = (200 - 80) = 120 ml

8 0
2 years ago
I don't understand how to do this
Masteriza [31]
The answer to the question

6 0
2 years ago
a cafeteria used 128.5 kilograms of beans to make 5 batches of chili. what quantity of beans went into each batch
nikdorinn [45]

Answer:25.7

Step-by-step explanation:

7 0
3 years ago
Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756
horsena [70]

Answer:

Plane = 441 mi/h; wind =  63 mi/h

Step-by-step explanation:

distance = rate × time

 Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

 p - w = speed against wind

We have two conditions:

(1)  756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants                  (3)    756 = 2p - 2w

                                                          (4)   756 = 1.5p + 1.5 w  

Multiply Equation (3) by 3                (5) 2268 = 6p  -  6w

Multiply Equation (4) by 4                (6) 3024 = 6p + 6w

Add Equations (5) and (6)                     5292 = 12p

Divide each side by 12                     (7)        p = 441 mi/h

Substitute (7) into Equation(3)                 756 = 882 - 2w

Add 2w to each side                      2w + 756 = 882

Subtract 756 from each side                    2w = 126

Divide each side by 2                                 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2     (2) 756 = (441 + 63) × 1.5

   756 = 378 × 2                   756 = 504 × 1.5

   756 = 756                         756 = 756

8 0
3 years ago
I’m confused can ya help me
Harlamova29_29 [7]

Answer:

C & D

Step-by-step explanation:

x² + 3x - 3 = 0

a = co efficient of  x² = 1

b=  co efficient of x = 3

c = constant = -3

roots = (-b ± \sqrt{b-4ac})/2a

    = (-3±\sqrt{3^{2}-4*1*[-3]} )/2*1

    = (-3±\sqrt{9+12})/2

    = (-3±√21)/2

  x = \frac{-3+\sqrt{21}}{2}     ; x =\frac{-3-\sqrt{21}}{2}

7 0
3 years ago
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