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3 years ago

9

You are assigned 32 math exercises for homework. You complete 87.5% of these before dinner. How many do you have left to do afte

r dinner?

1 answer:

Hunter-Best [27]3 years ago

7 0

You would have 4 left after dinner: (.875)(32)=28 so you have 28 completed before dinner and would have 4 left to do.

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Answer:

88 square units

Step-by-step explanation:

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3 years ago

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3 years ago

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Reil [10]

Given

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We have to set the restraint

$x+1\geq 0 \iff x \geq -1$

because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:

$(x+1)^2=7x+15 \iff x^2+2x+1=7x+15 \iff x^2-5x-14 = 0$

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.

Similarly, we have

$x-3 = \sqrt{x-1}+4 \iff x-7=\sqrt{x-1}$

So, we have to impose

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The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.

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2 years ago