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10). Proportional

11). Not proportional

Step-by-step explanation:

10) Let the relation between time (t) and heart beats (b) is proportional,

    h ∝ t

    h = kt

    here, k = proportionality constant

    Since, the graph of the equation is passing through a point a (4, 6),

    6 = 4k

    k =

    k = 1.5

    So the equation will be,

    h = 1.5t

   Since, all the points (6, 9), (10, 15)and (12, 18) follow the same relation represented by the equation, relationship is proportional.

11). Let the relationship shown by the table is proportional,

   y ∝ x

   y = kx [Here, k = proportionality constant]

   k =

   This constant should be same for all points given in the table.

   For (4, 25),

   k =

   For (0, 5),

   k =

   This shows 'k' is not same for all points.

   Therefore, relationship between x and y is not proportional.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

nswer: a   y-axis

step-by-step explanation: