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two shopping carts are pushed with the same amount of force. however, one shopping cart has a greater mass than the other. how does the mass of the shopping carts affect their acceleration?

a. the shopping cart with the most mass will accelerate less than the shopping cart with the least mass when the same force is applied.

b. both shopping carts will accelerate at the same rate, since it is force and not mass that determines acceleration rate.

c. the shopping cart with the most mass will accelerate more than the shopping cart with the least mass when the same force is applied.

not necessarily. higher fitness requires the organism to be reproductive successful. for example, an organism at age 10 with 15 offspring is much more fit than an organism at age 15 with only 5 offspring.

answer-

the statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

solution-

it solely depends on b, whether the function will have one or two or zero x intercept.

this plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e v shape, with vertex translated to (-a, b), instead of origin.

1-   if b is zero, the graph will have exactly one x-intercept, at x= -a

2- if b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- if b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ the statement is sometimes true.