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Firlakuza [10]
3 years ago
15

When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary l

ine?
Mathematics
1 answer:
Volgvan3 years ago
6 0

Answer:

See Below

Step-by-step explanation:

The boundary line follows the graph of y = 2x - 4 because it represents the line of maximum or minimum values the graph could take. y = 2x - 4 has a y-intercept of -4 because it is in slope-intercept form. It also has a slope of 2, so to find another point on the line, you can go up two and right one. Also, this inequality has a solid line because it is "less than or equal to" and a solid line represents the values that equal.

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Brooke’s dad sold 6 ounces of gold for $9,900. At that rate, how much would 2 ounces of gold sell for?
Montano1993 [528]

Answer:

$3300

Step-by-step explanation:

If you take 9900 and divide it by 6 (the amount of ounces) you will get how much 1 ounce of gold is worth. This will give you 1650. Then you just multiply that by 2 to get two ounces.

Another way is if you know what you would divide 6 by to get 2 (this would be 3). you would then divide the amount of money by that same number.

6 0
3 years ago
If positive integer number n has exactly 8 divisors, what is the least number of divisors can n^2 have?
lys-0071 [83]

Answer:

The simpler case is the number:

n = a^7, where a is prime.

We use this so we avoid having cross numbers by multipliying different prime numbers. because for example lets compare:

2^2 = 4 has 3 divisors, 4, 2 and 1.

(4*4) = 16 has the divisors: 1, 2, 4, 8 and 16. (5 divisors).

Now let's mix primes:

2*3 = 6 has 3 divisors, 3, 2 and 1.

6*6 = 36

(3*2*1)*(3*2*1) = 36

then the divisors are:

3*3, 3*2, 3*1, 2*2, 2*1, 1*1, 3*2*2, ..., etc.

You can clearly see that this has a lot more divisors than the previous case.

Then returning to the answer:

a^7 can be divided by a, a^2, a^3, ..., and by itself, a^7 (and 1, so we have exactly 8 divisors).

Now, we can write:

n^2 = (a^7)^2 = (a^(2*7)) = a^14.

By the same logic that was used above, a^14 has 14 + 1 divisors.

Then the smallest number of divisors possible is 15.

8 0
3 years ago
Help me peeps lol help plzz
Hitman42 [59]
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3 years ago
Read 2 more answers
Can someone help me pls
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<h3><em>The distance from the lighthouse to the boat will be given by: </em></h3><h3><em>tan θ=opposite/adjacent </em></h3><h3><em>θ=angle of depression=23 </em></h3><h3><em>opposite= height of the lighthouse </em></h3><h3><em>adjacent=distance from the boat to the bottom of the light house </em></h3><h3><em>hence </em></h3><h3><em>tan 23=210/a </em></h3><h3><em>thus solving for a we obtain: </em></h3><h3><em>a=210/tan23 </em></h3><h3><em>hence </em></h3><h3><em>a=494.73 ft</em></h3><h3><em>HOPE IT HELPS !!!</em></h3>
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3 years ago
Janine watches 12 hours of tv per week, what is the percentage she watches 4 hours?
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