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yan [13]
3 years ago
15

4x²-17x-42 by factor

Mathematics
1 answer:
kkurt [141]3 years ago
5 0
4x²-17x-42
=4(x²-17/4x)-42
=4[x²-17/4  x+(-17/8)²-(-17/8)²]-42
=4(x-17/8)²-289/64-42
=4(x-17/8)²-(289+2688)/64
=4(x-17/8)²-2974/64
=[(2x-34/8)²-(√2974/8)²]
=(2x-34/8  +(√2974/8))(2x-34/8-(√2974/8)
=[2x+(√2974-34)/8][2x-(√2974+34)/8]

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Step-by-step explanation:

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3 years ago
what interest rate is needed to turn $2500 into $15,000 in 14 years if interest is compounded weekly?
Anastasy [175]

Answer:

0.6845% per week.

Step-by-step explanation:

Simple Interest Calculation A = P(1 + rt)

Solving our equation:

r = (1/730.5)((15000/2500) - 1) = 0.00684463

r = 0.00684463

Converting r decimal to R a percentage

R = 0.00684463 * 100 = 0.6845%/week

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0.6845%/week × 52 weeks/year = 35.594%/year.

The interest rate required to get a total amount, principal plus interest, of $15,000.00 from simple interest on a principal of $2,500.00 over 14.05 years (730.5 weeks) is 0.6845% per week.

7 0
3 years ago
{(5,2),(-6,2),(8,4),(5,13)}
babymother [125]

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8 0
2 years ago
Identify an equation in slope intercept form for the line parallel to y= -2/3x+8 that passes through (4, -5)
Evgen [1.6K]

Answer:

3y = -2x -7

Step-by-step explanation:

The equation of the line;

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Unknown:

Equation of the line passing through (4, -5);

Solution:

To solve this problem;

    the equation of a line is given as;

        y = mx + c

where x and y are the coordinate

           m is the slope

          c is the intercept

To solve this problem,

  The slope  -\frac{2}{3} if the same as that of the new line since they are parallel;

Equation of the new line;

    x  = 4 and y = -5

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       c  = -5 + \frac{8}{3}

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So, the equation of the line is;

    y =  -\frac{2}{3}x - \frac{7}{3}

 or ;

     3y = -2x -7

7 0
3 years ago
Paper depot is swnding out 28 trucks to deliver paper to customers today. Each truck is being loaded with 3 cases of paper. 283
Stells [14]

Answer:

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Step-by-step explanation:

Given that:

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i hope it will help you!

4 0
3 years ago
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