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4 years ago

Which table of ordered pairs represents a proportional relationship? Help ASAP please!

Mathematics

2 answers:

USPshnik [31]4 years ago

8 0

The second table because each number in the x column is multiplied by 5 to create the number in the y column.

san4es73 [151]4 years ago

4 1

Answer:

The first table

Step-by-step explanation:

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Find the sum of the first 25 terms of the arithmetic sequence.

Marta_Voda [28]

Answer:

Step-by-step explanation:

$\frac{n}{2}*(a+l)=\frac{25}{2}*(100+220)\\\\=\frac{25}{2}*320=\frac{25*320}{2}\\\\=25*160=4000$

3 0

4 years ago

Given that y = (e^x)/x, x > 0, find the range of values of x where y is a decreasing

vodka [1.7K]

Answer:

The interval for which y is a decreasing function of x is:

$(0, 1)$

Or as an inequality:

$0$

Step-by-step explanation:

We are given the equation:

$\displaystyle y=\frac{e^x}{x}\, ,x>0$

And we want to find the range of values x for which y is a decreasing function of x.

y is decreasing whenever y' is negative. Find y' using the Quotient Rule:

$\displaystyle y'=\frac{(e^x)'(x)-e^x(x)'}{(x)^2}$

Differentiate:

$\displaystyle y'=\frac{xe^x-e^x}{x^2}$

y is decreasing whenever y' is negative. Thus:

$\displaystyle 0>\frac{xe^x-e^x}{x^2}$

Multiply both sides by x². This is always positive so we do not need to change the sign:

$xe^x-e^x$

Factor:

$e^x(x-1)$

eˣ is always positive. So:

$x-1$

Adding one to both sides produces:

$x$

Therefore, y is a decreasing function of x when x is less than one (and greater than 0).

In interval notation:

$(0, 1)$

Or as an inequality:

$0$

8 0

3 years ago

Question 3 2 pts Melanie has two job offers. Job1 pays $10 an hour and will allow her to work 40 hours a week. The job2 pays $7

Georgia [21]

Answer:

Job 2

Step-by-step explanation:

because pays bonus on sales

8 0

3 years ago

Write the following as an algebraic expression. Subtract 10y-7 from 5y+1

e-lub [12.9K]

5y+1-10y-7

After combining like terms:
-5y-6

7 0

3 years ago

Can someone show me what i did wrong? x is supposed to equal 2

poizon [28]

In step 3, you added 8x onto the other side instead of subtracting it from 15x.

8 0

3 years ago

Read 2 more answers