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Andreas93 [3]
3 years ago
12

Solve the equation x2 = 64 for x.

Mathematics
1 answer:
viva [34]3 years ago
7 0
To solve x in the equation <span>x2 = 64, we raise the whole equation to the reciprocal of the power of the variable present which means we raise it to a power of 1/2. 64 raised to 1/2 or square root of 64 is equal to positive 8 and negative 8. The solution set is {-8,8}</span>
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Answer:

2

Step-by-step explanation:

What we need here is to express both charges trough equations, and then find out for which value these equations are equal.

Let X be the amount of additional days of rent.

So, Mikes Movie Rentals cost equations is:

CostMike = 3 + 0.5X

This implies that if there is no additional day (X=0), the cost is $3, if there is one additional day the cost is $3.5, for 2 days $4, and so on ...

Now lets find Reed's Rental cost.:

CostReed = 1.5 + 1.25X

And the interpretation is analogous to the one above. If there is no additional day, Reed's charge is $1.5, for 1 days $2.75, for 2 days $4

(Notice that with the examples I made about interpreting the equations I found out that for 2 days the cost of both is the same. Now lets find it analytically)

For finding the additional days that give the same costs we need to equal both equations:

3 + 0.5 X = 1.5 + 1.25 X

Lets subtract 1.5 from both sides:

3 - 1.5 + 0.5 X = 1.5 - 1.5 + 1.25 X

1.5 + 0.5 X = 1.25 X

Now subtract 0.5 X in both sides:

1.5 + 0.5 X - 0.5 X = 1.25 X - 0.5 X

1.5 = 0.75 X

Dividing both sides by 0.75:

1.5 / 0.75 = 0.75 X / 0.75

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So, for 2 additional days bith charges are equal.  

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3 years ago
Choose the best estimate for the mass of a raisin.
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Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

-5x + y = -2

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3 years ago
Tom purchased a 40lb. bag of dog food. Knowing that there are 16 ounces in a pound, how many ounces of dog food are in the bag?
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Answer:

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8 0
3 years ago
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So,

The secret to solving problems with ratios is to find the value of one unit.

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To find one unit, divide the total number of students by the total number of units.
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Now, multiply the units by the numbers in the ratio.
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There are 350 girls.
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3 years ago
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