Solve the quadratic equations

x^2 -8x + 35 = 0

x^2 +8x + 25 = 0

x^2=8x-35

Step-by-step explanation:

1.1     Factoring  x2-8x+35  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  +35  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 35 = 35  

Step-2 : Find two factors of  35  whose sum equals the coefficient of the middle term, which is   -8 .

     -35    +    -1    =    -36  

     -7    +    -5    =    -12  

     -5    +    -7    =    -12  

     -1    +    -35    =    -36  

     1    +    35    =    36  

     5    +    7    =    12  

     7    +    5    =    12  

     35    +    1    =    36  

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

answer: 8d

step-by-step explanation:

45+5= 50+5=55+5=60