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3 years ago

When will the horizontal asymptote alwys be y=0

Mathematics

1 answer:

Ivahew [28]3 years ago

4 0

Answer:When the numerator degree is lower than the denominator degree, the horizontal asymptote will be y=0.

Step-by-step explanation:

As x gets really large or small the denominator will be much larger than the numerator, so y will be around 0.

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Ber [7]

Answer:

A 12

B 30 lost

Step-by-step explanation:

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3 years ago

Consider the equation a(3 - x) = - 2x + b. What values of a and b make the solution of the equation x =-2? Write a number from t

-Dominant- [34]

Answer:

a=1, b=1

Step-by-step explanation:

Given the equation: $a(3 - x) = - 2x + b$

If the solution of the equation $x=-2$

Then to find the values of a and b, we substitute $x=-2$ into the equation.

$a(3 - x) = - 2x + b\\a(3 - (-2)) = - 2(-2) + b\\a(3+2)=4+b\\5a=4+b\\5a-b=4\\$If we make the substitution a=1, b=1 into the above equation\\5(1)-1=4 is true.\\Therefore: a=1, b=1$

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3 years ago

For every 2 teachers there are 30 girl students. For every 3 teachers there are 60 boy students. If there are 432 people in the

lozanna [386]

Discussion

Girls

For every two Teacher there are 30 girls.

That means that every teacher has 30/2 = 15 girls.

Boys

For every three teachers there are 60 boys

So every teacher must teach 60/3 = 20 boys.

Both

The teacher load for every teacher is 20 + 15 = 35 students.

Proportion

1/35 = T/(432 - T) Remember you have to take out the number of Teachers from the total number of people in the building. Cross multiply.

432 - T = 35T Add T to Both sides.

432 = 35T + T

432 = 36T Divide by 36

T = 432 / 36

T = 12 So there are 12 Teachers in the Building

Girls in the Building

Every teacher teaches 15 girls

1 teacher /12 teachers = 15 girls/x Cross multiply

x = 12 * 15

x = 180 girls are in that school.

Boys in the Building

1 teacher teaches 20 boys

12 teachers teach x

1/12 = 20 / x Cross multiply

12*20 = x

240 = x

There are 240 boys in the building.

Summary For the School

Teachers = 12

Boys = 240

Girls = 180

Nice problem. Thanks for posting.

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3 years ago