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4 years ago

Help me please i’m so far behind and i’m trying to finish before summer ends im freaking out

Mathematics

2 answers:

maw [93]4 years ago

8 0

Answer:

The equation 2.5x -10.5 = 64(0.5^x) is true when x=5

Step-by-step explanation:

we need to solve the equation 2.5x -10.5 = 64(0.5^x)

We have to put the given values of x in the functions f(x) and g(x) and find their values

x f(x) = 2.5x -10.5 g(x) = 64(0.5^x)

2 2.5(2)-10.5 = -5.5 64(0.5^2) = 16

3 2.5(3) - 10.5 = -3 64(0.5^3) = 8

4 2.5(4) - 10.5 = -0.5 64(0.5^4) = 4

5 2.5(5) - 10.5 = 2 64(0.5^5) = 2

6 2.5(6) - 10.5 = 4.5 64(0.5^6) = 1

So, we need to solve the equation 2.5x -10.5 = 64(0.5^x)

This holds when x = 5 as shown in the table above.

frozen [14]4 years ago

3 0

The correct answer is 5
Solve for x by simplifying both sides of the equation, then isolating the variable.
X=5

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On the planet Yoy, there are 9 boodins to every 14 dubbles. if farmer Pib has 120 boodins on his Frent farm, how many dubbles ar

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Answer:

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Step-by-step explanation:

Here, we want to find the number of dubbles on the farm;

From the beginning of the question, we are told that there are 9 boodins to every 14 dubbles

So the ratio of boodins to dubbles is 9:14

Now, let the number of dubbles on the farm be x

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3 years ago

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Answer:

850

Step-by-step explanation:

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3 years ago

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3 years ago

Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *

Luda [366]

Answer:

The answer to your question is $\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

Step-by-step explanation:

Data

Foci (-2, 2) (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

2c = 6

c = 6/2

c = 3

3.- Determine a

2a = 10

a = 10/2

a = 5

4.- Determine b using the Pythagorean theorem

a² = b² + c²

-Solve for b

b² = a² - c²

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b² = 25 - 9

b² = 16

b = 4

5.- Find the center (1, 2) From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

$\frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1$

$\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

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3 years ago

2(x+5)=3x+1 x = ?<br><br> what is x?

Over [174]

2(x+5)=3x+1
*solving*
X = 9

7 0

3 years ago

Read 2 more answers