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Alecsey [184]
4 years ago
5

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

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

Part C: How can you solve the equation 4^x = 2^x + 2 graphically? (2 points)
Mathematics
1 answer:
Fantom [35]4 years ago
4 0

According to the degree of freedom, if there are two unknowns to be determined, there should be two equations that are independent. In this case, the two equations y = 4^x and y = 2^x + 2. We equate the two equations to get x and y. x is equal to 1 and y is equal to 4. To solve the equation graphically, we plot the two graphs and see the point of intersection. 
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How do you show three and three force of a number like
satela [25.4K]

Answer:

3 \frac{3}{4}

Hope this helps :)

4 0
3 years ago
N a game show, a contestant randomly draws a chip from a bag and replaces it. The theoretical probability of drawing a winning c
erica [24]

Answer:

I would expect 6 contestants to draw a winning chip each.

Step-by-step explanation:

Theoretical probability is basically = Number of successful outcomes/Number of possible outcomes.

Since the theoretical probability of drawing a winning chip is 3(winning chips)/10(total chips), if there are 9 winning chips in the bag, we need to first calculate the total number of chips in the bag using the principle of proportion.

Let's call the total number of chips in the bag, "x".

3/10 = 9/x

Cross multiplying:

3x = 90

x = 90/3

x = 30 chips

There is a total of 30 chips in the bag.

Now, if there are 9 winning chips in a bag that contains 30 chips altogether and 30 contestants are to draw one chip each from the bag, I would expect 9 contestants out of the 30 contestants that drew chips from the bag to draw winning chips.

Then if each of the 20 contestants are to draw a single chip from the bag of 30 chips, then the number of contestants that I would expect to draw a winning chip is:

30 contestants----------9 winning chips

20 contestants----------- ? winning chips

20/30 × 9

= 180/30

= 6 winning chips to be drawn by 6 different contestants.

Therefore the number of contestants that I would expect to draw a winning chip from the bag is 6

7 0
3 years ago
S KM ∥ JN? Why or why not?
bixtya [17]

Given: We have the given figure through which we can see

LK=16,

KJ=10,

LM=24,

MN=15

To Find: Whether KM || JN and the reasoning behind it.

Solution: Yes, KM || JN because \frac{16}{10}= \frac{24}{15}

Explanation:

For this solution, we use the concept of Similar Triangles.

Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Now, ∠MLK=∠NLJ

To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN

LK:KJ=LM:LN\\\\ \frac{LK}{KJ} =\frac{LM}{LN}\\\\\frac{16}{26}= \frac{24}{39}\\\\

which is true as both sides simplify to \frac{8}{13}

Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Therefore, KM || JN.

To come to the reasoning, notice that

\frac{LK}{LJ} =\frac{LM}{LN}\\\\\frac{LK}{LK+KJ} =\frac{LM}{LM+MN}\\\\\frac{LK+KJ}{LK} =\frac{LM+MN}{LM}\\\\1+\frac{KJ}{LK}=1+ \frac{MN}{LM}\\\\\frac{LK}{KJ} =\frac{LM}{MN}

In other words, \frac{16}{10}= \frac{24}{15}


4 0
4 years ago
Read 2 more answers
PLS HELP thank you 12 points pls
Lorico [155]
1: the one that looks like an x
2:regular pentagon
3: 4
4: 1
5: 1 line of symmetry
7 0
3 years ago
how does finding the square root of a number compared to finding the cube root of a number? Use the number 64 in your explanatio
masya89 [10]
√64=8 ∛8=2 In the √, you find something that squares into the number In the ∛, you find something that cubes into the number
5 0
3 years ago
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