Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]

0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:

x=-b+/-√(b²-4ac)
2a
a=1, b=(-56), c=70

x= -(-56)+/- √((-56)²-4(1)(70)
2(1)
x= 56+/- √(3136-280)
 2
x=56+/-√(2856)
 2
x=56+/-√(2³·3·119)
 2

x=56+/-2√(714)
 2

x=28+√714; x=28-√714

5 0

2 years ago

What is the answer to these question?

Natali5045456 [20]

Answer:

2. y = 7/2 x -2

3. y = 3/4x-1

Step-by-step explanation:

points (0,-2) (4,12)

slope = (y2-y1)/(x2-x1)

slope = (12--2)/(4-0)

= (12+2)/4

= 14/4 = 7/2

the slope is 7/2 and the y intercept is -2

y = mx+b

y = 7/2 x -2

points (0,-1) (4,2)

slope = (y2-y1)/(x2-x1)

slope = (2--1)/(4-0)

= (2+1)/4

= 3/4

the slope is 3/4 and the y intercept is -1

y = mx+b

y = 3/4x-1

3 0

2 years ago