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3 years ago

Which number line shows the solution set for |p-3|=9?

Mathematics

1 answer:

Mademuasel [1]3 years ago

3 0

Answer:

Option b

$p = -6$ or $p = 12$

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function $f(x) = |x|$ x> 0 for all real numbers.

Then the equation:

$|p-3| = 9$ has two cases

$(p-3) = 9$ if $h > 3$ (i)

$-(p-3) = 9$ if $h < 3$ (ii)

We solve the case (i)

$p = 9 + 3\\p = 12$

We solve the case (ii)

$-p +3 = 9\\p = 3-9\\p = -6$

Then the solution is:

$p = -6$ or $p = 12$

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What is 79 1/2% of $7570?

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Answer:

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Step-by-step explanation:

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"is" number is 79 1/2%

"of" number is $7570

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To find out if the answer is correct :

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3 years ago

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krek1111 [17]

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3 years ago

Your plan was to be on the road by 9 A.M. but you did not leave the garage until 10 A.M. You then drove with the cruise control

Wittaler [7]

Answer:

The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.

Step-by-step explanation:

The average speed is given by the following equation:

$v = \frac{d}{t}$

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You traveled at 50mph during 2 hours. So how long you traveled?

$50 = \frac{d}{2}$

$d = 50*2$

$d = 100$

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From 10 P.M. to noon, 100 miles.

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The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.

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3 years ago

200 grams of fertilizer are used for each tree in an orchard containing 1200 trees. at $2.75 per kilogram of fertilizer, how muc

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3 years ago

How do the expressions 72 divided and -72divided by (-9) and compare when they are evaluated?

padilas [110]

Complete question is;

How do the expressions 72 divided by 9 and -72 divided by (-9) compare when they are evaluated?

A. They have different values and are different signs.

B. They have different values but are the same sign.

C. They have the same value but are different signs.

D. They have the same value and the same sign

Answer:

D. They have the same value and the same sign

Step-by-step explanation:

For 72 divided by 9,it is;

72/9 = 8

Usually when we don't have any sign in front of a number, it is said to be positive.

Thus, the answer can be expressed as; +8

Also, when -72 is divided by (-9), it is;

-72/-9

The negative signs will cancel out to give; 8

Similar to the first division, since no sign is attached to 8,it is said to be positive as +8.

This means both divisions yield same values and same signs

5 0

3 years ago