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masha68 [24]
3 years ago
14

A proportional relationship is formed when y=16 and x=-4 what is the value of x when y=4?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Answer:

-1

Step-by-step explanation:

The correct model to use for a proportional relationship is y = kx, where k is the constant of proportionality.

If y = 16 when x = -4, then this model becomes 16 = k(-4).  Solving for k, we get k = -16/4, or k = -4.

Thus, the specific formula to use here is y = -4x.

Now if y = 4, 4 = -4x, and x must therefore be x = -1.

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Answer:

The required answer is attached below

Step-by-step explanation:

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What are the coordinates of the midpoint of CD¯¯¯¯¯ where C(2, −6) and D(4, 10)?
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You can use the midpoint formulae as I have in the picture below

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Name and describe the five schedules of control substances. Name a few drugs in each schedule.
zmey [24]

Answer and Step-by-step explanation:

The U.S. Drug Enforcement Administration (DEA) has divided the sustances into five categories schedules, which they are:

Schedule 1 (I) drugs: substances with no accepted medical use so far and a high potential for abuse. This is the most dangerous schedule because they are considered to have a very high potential of severe psychological and physical dependence. Examples: Heroin, LSD, Methylenedioxymethamphetamine (ecstasy)

Schedule 2 (II)  drugs: substances with very controlled medical use with a abuse potential very high but less than Schedule 1 drugs. They are considered very dangerous, because they can lead to a severe psychological and physical dependence. Examples: Cocaine

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Schedule 3 (III) drugs: substances that are defined as drugs with a moderate to low potential for physical and psychological dependence. Their abuse potential is less than Schedule 1 and 2, but higher than Schedule 4. Examples: Vicodin, Anabolic steroids, Testosterone.

Schedule 4 (IV) drugs: substances with a abuse potential low and their risk of dependence is also low. Examples: Xanax, Valium , Ativan.

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6 0
3 years ago
Lix wants to by a shirt for $25. What is the total cost with a 4.1% sales tax? Round to NEAREST CENT.
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Answer:

about $26.00

Step-by-step explanation:

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5 0
2 years ago
Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam the garden with greatest
lidiya [134]
Perimeter: P=62 feet
P=2(b+h)
62=2(b+h)
Dividing both sides of the equation by 2:
62/2=2(b+h)/2
31=b+h
b+h=31   (1)

Area: A=bh   (2)

Isolating h in equation (1)
(1) b+h=31→b+h-b=31-b→h=31-b   (3)

Replacing h by 31-b in equation (2)
(2) A=bh
A=b(31-b)
A=31b-b^2

To maximize the area:
A'=0

A'=(A)'=(31b-b^2)'=(31b)'-(b^2)'=31-2b^(2-1)→A'=31-2b

A'=0→31-2b=0
Solving for b:
31-2b+2b=0+2b
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Dividing both sides by 2:
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Replacing b by 31/2 in equation (3)
h=31-b
h=31-31/2
h=(2*31-31)/2
h=(62-31)/2
h=31/2

The dimensions are 31/2 ft x 31/2 ft = 15.5 ft x 15.5 ft
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These dimensions are not in the options

1) The first option has an area of: A=(18 ft)(13 ft)→A=234 ft^2
2) The second option has an area of: A=(19 ft)(12 ft)→A=228 ft^2
3) The third option has an area of: A=(17 ft)(14 ft)→A=238 ft^2

The third option has the largest area.

Answer: Third option  
 
4 0
3 years ago
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