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DedPeter [7]
3 years ago
10

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = ^2−x and y = ^4x + 3 intersect are the

solutions of the equation 2^−x = 4^x + 3.
Part B: Make tables to find the solution to 2^−x = 4^x + 3. Take the integer values of x only between −3 and 3.


Part C: How can you solve the equation 2^−x = 4^x + 3 graphically?
Mathematics
1 answer:
lilavasa [31]3 years ago
6 0

Answer:

Post a photo

Step-by-step explanation:

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The pirouette dance team needs more than $300 to cover
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Answer:

You need "more than" 300.

Step-by-step explanation:

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A school is organizing a weekend trip to a nature preserve. For each student, there is a $50 charge, which covers food and lodgi
k0ka [10]

The number of students going on the trip is 50.

Given,

A school is organizing a weekend trip to a nature preserve.

For each student, there is a $50 charge, which covers food and lodging. There is also a $25 charge per student for the bus.

The school must also pay a $15 cleaning fee for the bus.

The total cost of the weekend is $3,765.

We need to find out how many students will be going on the trip.

<h3>How do we find the number of items from the cost of each item and the total amount?</h3>

We simply divide the total cost by the cost of each item.

Example:

Total amount = 10

Each item cost = 2

Number of items = 10/2 = 5

Find the charge of each student.

= Food and lodging charge + bus charge

= $50 + $25

= $75

Find the additional charge for the trip.

= Cleaning charge

= $15

Find the total cost of the trip.

= $3,765

Find the total charge from the students.

= $3,765 - $15

= $3,750

Find the number of students who went on the trip.

= Total charge from the student's ÷ cost of each student

= 3750 ÷ 75

= 3750 / 75

= 50

This means 50 students.

Thus the number of students who went on the trip is 50.

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What is the perimeter, in units, of polygon UVWXYZ? Enter your answer in the box.
nikitadnepr [17]

Given:

Consider the below figure attached with this question.

To find:

The perimeter of the polygon UVWXYZ.

Solution:

All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.

From the figure it is clear that,

UV = 9 units

VW = 2 units

WX = 3 units

XY = 3 units

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Now, perimeter is the sum of all the sides.

Perimeter=UV+VW+WX+XY+YZ+ZU

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