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3 years ago

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

5 0

3 years ago

An x-ray machine for animals cost $125,000. if the loan is for 10 years, and the interest paid is $65,625, what's the interest r

solong [7]

The answer is 59,375 there hope this helps

3 0

3 years ago

Please help me i need this really bad

lesya [120]

The answer is 3
Multiply 6 by 3 to get the total amount of money for the books then minus the answer 18 which you get from 6 x 3 = 18
Then minus 18 from 21 to get $3
21 - 18 = 3

7 0

3 years ago

Read 2 more answers

3/20 is equal to what in fractions

Likurg_2 [28]

Answer:

15/100

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

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