In the quadratic function y=x^2+bx+24, what is the value of the 'b' term which would make the quadratic function factorable?

9514 1404 393

  ±25, ±14, ±11, ±10

Step-by-step explanation:

'b' is the sum of pairs of factors of 24. Those factors are ...

  24 = 1×24 = 2×12 = 3×8 = 4×6

The same product is obtained when both factors are negative. The sums of these pairs are 25,14, 11, 10.

Possible values of b are ±25, ±14, ±11, ±10.

Additional comment

If this is a multiple-choice question, you'd have to see which of your choices matches one of these numbers.

(b): 25,14,11,10,-25,-14,-11,-10

Step-by-step explanation:

24 can be factorized to the following pairs of set: (p,q)    p*q=24  p+q =b

(p,q); (1,24) (2,12) (3,8) (4,6) (-1,-24) (-2,-12) (-3,-8) (-4,-6)

p+q (b): 25,14,11,10,-25,-14,-11,-10

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

answer: 7 x 2/5 = 2.8 hours, is your answer. your welcome! : 3

step-by-step explanation: first work out how long it took to hose 1/7 of the lawn which is 2/5 hours. times that by 7 to get the whole lawn.

sorry i don't know the other answer. i didn't learn what a proportional relationship is.