MATHEMATICS HIGH SCHOOL

Identify the asymptotes.
y=1/x-6

Answers

Answer 1
Answer: Horizontal asymptote
y=1x−6
limx→∞=1/x−6

=(1/x) / [(x/x)−6/x]

 
=0 / 1

= 0

The function is also undefined at x=6. So there is a vertical asymptote at x=6.

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Sarah is planning to spend a week at her friend’s summer house in Miami Beach. All meals will be provided by her friend’s parents, but Sarah still needs at least $500 to pay for her airfare and personal expenses for the week. She is selling bracelets and earrings to fund her trip. A graph representing this situation is shown below.Questions:1.This region represents the combinations of bracelets and earrings that Sarah must sell in order to get a minimum of $500 profit to pay for her trip.2.This region represents the area where Sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.3.This region represents the area where Sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.graph below ∨↓↓↓↓

In this problem, y = c₁eˣ + c₂e⁻ˣ is a two-parameter family of solutions of the second-order DE y'' − y = 0. Find a solution of the second-order IV P consisting of this differential equation and the given initial conditions. y(-1) = 4, y'(-1) = -4.

Answers

Answer:

y=4e^(-(x+1)) will be the solutions.

Step-by-step explanation:

The given equation is y=C_(1)e^(x)+C_(2)e^(-x)

Therefore, for x = -1

4=C_(1)e^(-1)+C_(2)e^(1) ------(1)

Now y'(-1) = -4

y'(x) = C_(1)e^(x)-C_(2)e^(-x) = -4

C_(1)e^(-1)-C_(2)e^(1) = -4 -----(2)

By adding equation (1) and (2)

2C_(1)e^(-1)=0

C_(1)=0

From equation (1),

4=0+C_(2)e^(1)

C_(2)=4e^(-1)

By placing the values in the parent equation

y = 4e^(-1)* e^(-x)

y = 4e^(-(x+1))

Percy paid $24.10 for a basketball the price of the basketball was $22.99 what was the sales tax rate

Answers

To find the sales tax rate, you need to find what percentage of the base price the difference in cost is.

First, subtract 22.99 from 24.10:

24.1-22.99=1.11

Now, divide 1.11 by 22.99:

1.11/22.99=0.0483

Multiply 0.0483 by 100 to convert the decimal to a percentage:

0.0483*100=4.83

The sales tax rate was 4.83%.

Hope this helps!!

What is the volume of the right prism? 5 cm 10 cm 6 cma.2250 cm3
b.1500 cm3
c.150 cm3
d.25 cm3

Answers

I will just give you the answer because I do not feel like explaining it oh what the heck I will do it any ways! it is c because it is LxWxH= your answer that is why it is c

If two angles are alternate interior angles, what can we conclude about these angles?​

Answers

When two angles are alternate interior angles, it means they are located on opposite sides of a transversal line and inside a pair of parallel lines. Here's what we can conclude about these angles:

Alternate Interior Angles are Congruent: Alternate interior angles are congruent, which means they have the same measure. In other words, the measure of one angle is equal to the measure of the other angle.

Formed by a Transversal: These angles are formed when a transversal line crosses two parallel lines. The transversal line intersects the parallel lines at different points, creating alternate interior angles.

Equal Measure: If the two parallel lines are parallel lines, the alternate interior angles will have equal measures. This is a consequence of the corresponding angles postulate, which states that when two parallel lines are intersected by a transversal, the pairs of corresponding angles are congruent.

In summary, when two angles are alternate interior angles, you can conclude that they have equal measures, and this relationship holds when the lines they are associated with are parallel.

travis has passed 11 tests and his classmate Jennifer has passed 2 tests. Going forward Travis plans to pass 2 tests per week. Meanwhile Jennifer plans to pass 5 tests per week. Eventually she will catch up to Travis. How many tests will each student have passed and how many weeks will it take?

Answers

If Travis already has passed 11, and Jennifer has already passed 2, then we just add 2 to Travis and 5 to Jennifer x amount of times until they have passed the same amount of tests. So:

Travis:         11      Jennifer:     2
Week1      +  2                      + 5
Week2          2                         5
Week3          2                         5
                  -------                  --------
                    17                       17

So= it will take 3 weeks for them to have both passed a total of 17 tests each.

The diagram shows a 5 cm x 6 cm x 7 cm cuboid.Calculate the length of the diagonal AB.
4 Give your answer correct to 1 decimal place.
7 cm
1
6 cm
B
5 cm

Answers

9514 1404 393

Answer:

  10.5 cm

Step-by-step explanation:

The length of the space diagonal is the root of the sum of the squares of length, width, and height.

  AB = √(5² +6² +7²) cm = √110 cm ≈ 10.488 cm

  AB ≈ 10.5 cm

_____

The space diagonal is the hypotenuse of the right triangle consisting of an edge (L) and the face diagonal of the face perpendicular to that edge. Of course that face diagonal is the root of the sum of squares of the orthogonal edges: √(W² +H²). So, the space diagonal is ...

  AB = √(L² +(√(W² +H²))²) = √(L² +W² +H²)
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