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aleksandr82 [10.1K]
3 years ago
15

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

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

Part C: How can you solve the equation 4-x = 2x + 3 graphically? (2 points)
Mathematics
1 answer:
Alchen [17]3 years ago
3 0

Answer: 6

Step-by-step explanation:

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What common base can be used to rewrite each side of the equation 2^(x+3)-3=5
Alexeev081 [22]

Answer: 2^{(x+3)}=2^{3} (The common base is 2).

Step-by-step explanation:

You have the equation given in the problem:

2^{(x+3)}-3=5

Then base of 2^{(x+3)} is 2. Therefore, the common base must be 2.

If you add 3 to both sides of the equation, you obtain:

 2^{(x+3)}-3+3=5+3

 2^{(x+3)}=8

If you descompose 8 into its prime factors, you obtain that it can be written as:

8=2*2*2=2³

Therefore, you can you rewrite each side of the equation as following:

2^{(x+3)}=2^{3}

Where the common base is 2.

7 0
3 years ago
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If DC = 12 and AT = 10, then B _____ R. Choose the relationship symbol to make a true statement. < = >
alekssr [168]

Answer:

>

Step-by-step explanation:

12 s bigger thn 10.

7 0
3 years ago
Find the area of each sector
Bas_tet [7]

First, let's take a look at the formula of a sector: θ/360° x 兀r^2

In this case:

=90°/360° x 兀13^2

=1/4 x 169兀

=169/4 兀

=42.25兀 sq. ft

Therefore the answer is 42.25兀 sq. ft.

Hope it helps!

7 0
3 years ago
A soccer league has 190 players. Of those players 40% are boys. How many boys are in the soccer league?
Naya [18.7K]

Answer:

There are 76 boys in the soccer league.

Step-by-step explanation:

You can set up this equation:

Turn 40% into 0.40

0.40 x 190 = ?

76 boys.

5 0
3 years ago
13. You bought a Jersey on sale for 40% off and you paid $41.97. What was<br> the original price? *
Alinara [238K]
Answer: 69.95$

Check: 69.95 x 0.4 = 27.98
69.95-27.98 = 41.97
3 0
3 years ago
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