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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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Your class of 96 students is going on a field trip to the aquarium.
barxatty [35]

Answer:

54 in one bus

Step-by-step explanation:

96/2=48

48+6=54

8 0
2 years ago
Paul bought a circular rug for his living room. The rug has a diameter of 11 feet. About how much of Paul's living room will be
fenix001 [56]

Answer:

The rug has covered approximately 95 square feet of the living room.

Step-by-step explanation:

Given:

Diameter of rug = 11 feet

We need to find the area covered in living room by the rug.

Solution:

Diameter of rug = 11 feet

Radius is half of the diameter.

Radius of the rug = \frac{11}{2}=5.5\ ft

Now it has been given that rug is in circular shape.

So we will find the area of the rug using Area of circle formula which is given by π times square of the radius.

Framing in equation form we get;

area of the rug = \pi r^2 = 94.99\ ft^2 \approx 95\ ft^2

Hence The rug has covered approximately 95 square feet of the living room.

3 0
3 years ago
1<br> 3<br> (<br> x<br> +<br> 1<br> )<br> 2<br> =<br> 15
Gre4nikov [31]

X= - 0.4231

Step-by-step explanation:

Step 1:

The given equation can be expressed as

13*(X+1)*2=15

Here to find the value of X BODMAS rule is applied

BODMAS= Brackets Orders Division Multiplication Addition Subtraction

Step 2:

Expand the given equation

13*2*(X+1)=15

26*(X+1)=15

X+1=15/26

X+1=0.5769

X=0.5769-1

X=-0.4231

5 0
3 years ago
What x value solves the equation?<br> 3x - 5 = 1<br> x=
strojnjashka [21]

Answer:

x = 2

Step-by-step explanation:

Step 1: Write equation

3x - 5 = 1

Step 2: Solve for <em>x</em>

  1. Add 5 to both sides: 3x = 6
  2. Divide both sides by 3: x = 2

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

3(2) - 5 = 1

6 - 5 = 1

1 = 1

8 0
3 years ago
Read 2 more answers
The graph of a linear equation contains the points (3,11)and (-2,1). What point also lies on the graph
pochemuha
(0,0) is a point that also lays on the graph
3 0
3 years ago
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