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vfiekz [6]
2 years ago
11

(20 points will get brainliest)

Mathematics
2 answers:
Nina [5.8K]2 years ago
8 0

Answer:

y(x)=19*x

Step-by-step explanation:

Given the height of <em>6 </em>DVD cases, you can know the height of a <em>single</em> DVD case, by dividing the total height, in the number of cases (\frac{114mm}{6} = 19mm for this problem).

Now, knowing the height of a <em>single</em> DVD case (19mm), you can think the expression in this way: <em>If I already know the height of a single case, the height of any number of cases will be the result of multiplying the height of the case by the number of cases I want to stack.</em>

As the problem states, x is the number of cases in the stack, so, multiply the height of a single case for the number of cases (x).

This will result in the expression: y(x)=19*x

To know the height of a stack of 13 cases, just replace x=13 in the equation you just figured:  y(13)= 19* (13) = 247 , but don't forget the unit is mm, so the final result is <u>247 </u><u><em>mm.</em></u>

Mama L [17]2 years ago
4 0
Y = 19x

The height of 13 would be 247mm
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Please help and give explanation
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Answer:

100 mins

Step-by-step explanation:

total no of gallons pool can hold=4500

gallons pool already holds=1500

rate of adding water= 30 gallons per min

time he can continue filing= 4500-1500/30

=3000/30

=100 minutes (m value)

correct me if I'm wrong appreciate me if I'm good

8 0
3 years ago
Determine whether each mapping represents a function. Explain your reasoning.
FinnZ [79.3K]

Answer:

The first picture is a function and the second picture is not.

Step-by-step explanation:

Reason - In the first picture, there is no repeating value of x. In other words, every x value has a y value. However, in the second picture, the x value, 2 goes to 2 and -3.

4 0
2 years ago
Suppose that during the 1990s, the population of a certain country was increasing by 1.7% each year. If the population at the en
dem82 [27]
The answer would be 5.491 million, but can be rounded to 5.5 million.
3 0
3 years ago
Factor 4x^4yz-16y^3z
Iteru [2.4K]

Answer:

<h2>4x⁴yz - 16y³z = 4yz(x² - 2y)(x² + 2y)</h2>

Step-by-step explanation:

4x^4yz-16y^3z\\\\4x^4yz=4yz\cdot x^4\\\\16y^3z=4yz\cdot4y^2\\\\4x^4yz-16y^3z=4yz\cdot x^4-4yz\cdot4y^2=4yz(x^4-4y^2)\\\\x^4-4y^2=x^{2\cdot2}-2^2y^2=(x^2)^2-(2y)^2=(x^2-2y)(x^2+2y)\\\\Used:\\\\(a^n)^m=a^{nm}\\\\(ab)^n=a^nb^n\\\\a^2-b^2=(a-b)(a+b)\\\\4x^4yz-16y^3z=4yz(x^2-2y)(x^2+2y)


6 0
3 years ago
A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The cost per photo varies inv
Alecsey [184]
The complete question in the attached figure

we have that
 for c=5 and n=20------------> n*c=20*5=100
 for c=2.5 and n=40------------> n*c=40*2.5=100
 for c=2 and n=50------------> n*c=50*2=100
 for c=1.25 and n=80------------> n*c=80*1.25=100

therefore
<span>the function that models the data is n*c=100
</span>
the answer is nc=100





6 0
3 years ago
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