Jamal simplified the expression StartRoot 75 x Superscript 5 Baseline y Superscript 8 Baseline EndRoot where x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0. StartRoot 75 x Superscript 5 Baseline y Superscript 8 Baseline EndRoot = StartRoot 25 times 3 times x Superscript 4 Baseline times x times y Superscript 8 Baseline EndRoot = 5 x squared y squared StartRoot 3 x EndRoot

Which describes the error Jamal made?
He should have written the square root of y Superscript 8 in the answer as y Superscript 4, not y squared.
He should have written the square root of x Superscript 4 in the answer as x, not x squared.
He should have written the 5 inside of the radical in the answer.
He should have written the 3 outside of the radical in the answer.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation: