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Fed [463]
3 years ago
7

Factor 20x^2+15x-35 you must show your work

Mathematics
1 answer:
algol [13]3 years ago
5 0

Answer:

5 (x - 1) (4 x + 7)

Step-by-step explanation:

Factor the following:

20 x^2 + 15 x - 35

Factor 5 out of 20 x^2 + 15 x - 35:

5 (4 x^2 + 3 x - 7)

Factor the quadratic 4 x^2 + 3 x - 7. The coefficient of x^2 is 4 and the constant term is -7. The product of 4 and -7 is -28. The factors of -28 which sum to 3 are -4 and 7. So 4 x^2 + 3 x - 7 = 4 x^2 + 7 x - 4 x - 7 = 7 (x - 1) + 4 x (x - 1):

5 7 (x - 1) + 4 x (x - 1)

Factor x - 1 from 7 (x - 1) + 4 x (x - 1):

Answer: 5 (x - 1) (4 x + 7)

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Can someone please help me with this problem? You need to find the value of x and y by using the strategy of ELIMINATION. Please
Setler [38]

Answer:

x = 136/35; y = -⁹/₁₀

Step-by-step explanation:

(1)         7x + 8y = 20

(2)        7x – 2y = 29       Subtract (2) from (1)

                  10y =  -9        Divide each side by 10

(3)                 y =  -⁹/₁₀     Substitute (3) into (1)

      7x - 2(-⁹/₁₀) = 29

      7x + 18/10  = 29                       Subtract 18/10 from each side

      7x              =      29 - 18/10

      7x              = (290 - 18)/10

      7x              =          272/10        Divide each side by 7

        x              =           272/70

        x              =           136/35

x = 136/35; y = -⁹/₁₀

Check:

(1) 7(136/35) + 8(-⁹/₁₀) = 20

      136/5    -   72/10 = 20

      136/5    -   36/5  = 20

                      100/5  = 20

                       20      = 20

(2) 7(136/35) – 2(-⁹/₁₀)  = 29

       136/5    +    18/10 = 29

       136/5    +      ⁹/₅    = 29

                        145/5  = 29

                        29       = 29

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lesya [120]
The answer is 3
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Then minus 18 from 21 to get $3
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7 0
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Read 2 more answers
3/20 is equal to what in fractions
Likurg_2 [28]

Answer:

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Step-by-step explanation:

6 0
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Write an equation In slope intercept form for the line that is parallel to the given line and that passes through the given poin
ludmilkaskok [199]

The equation of the parallel line in slope-intercept form is;

y = \frac{5}{2} x - \frac{25}{2}

Step-by-step explanation:

Let us revise some facts about parallel lines

The equations of two parallel lines have:

  • Same slopes
  • Different y-intercept

The slope-intercept form of the equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept

The given line has equation 5x - 2y = 10

Put it in the form of y = m x + b to find its slope

∵ 5x - 2y = 10

- Subtract 5x from both sides

∴ -2y = 10 - 5x

- Divide to sides by -2

∴ y = -5 + \frac{5}{2} x

∴ y =  \frac{5}{2} x - 5

- The value of m is the coefficient of x

∴ m = \frac{5}{2}

∴ The slope of the given line is \frac{5}{2}

∵ Parallel lines have same slopes

∴ The slope of the parallel line is m = \frac{5}{2}

- Substitute the value of m in the form of the equation

∴ The equation of the parallel line is y = \frac{5}{2} x + b

To find b substitute x and y in the equation by the coordinates of any point lies on the line

∵ The parallel line passes through point (3 , -5)

- Substitute x and y by the coordinates of the point (3 , -5)

∵ x = 3 and y = -5

∴ -5 = \frac{5}{2} (3) + b

∴ -5 = \frac{15}{2} + b

- Subtract \frac{15}{2} from both sides

∴ b = \frac{-25}{2}

∴ The equation of the parallel line is y = \frac{5}{2} x + \frac{-25}{2}

∴ The equation of the parallel line is y = \frac{5}{2} x - \frac{25}{2}

The equation of the parallel line in slope-intercept form is;

y = \frac{5}{2} x - \frac{25}{2}

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

5 0
3 years ago
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