How many degrees is a circle

Final answer:

The correct table of values that represents the function f(x) = 2x − 1 for the given values of x is the one with x values 0, 4, 8, 12 and corresponding f(x) values of -1, 7, 15, 23.

Explanation:

To determine which table of values represents ordered pairs for the function f(x) = 2x − 1, we need to check each pair of x and f(x) to see if they satisfy the equation. Let's examine each table:

• x = 3; f(x) should be 2(3) − 1 = 5, but the table shows 6.
• x = 2; f(x) should be 2(2) − 1 = 3, and the table shows 5 which also incorrect.
• x = 1; f(x) should be 2(1) − 1 = 1, but the table shows 1 which is correct. Let's check the rest: for x = 2, f(x) = 3, which matches the table. However, for x = 3, f(x) should be 5, not 13 as listed in the table. So, this table is also incorrect.
• x = 0; f(x) should be 2(0) − 1 = -1, which matches the table. For x = 4, f(x) = 7 confirms the table. The pairs for x = 8 and x = 12 also match the function. Therefore, the last table correctly represents the function f(x) = 2x − 1 for the given values of x.

The correct table of values for the function f(x) = 2x − 1 is the one that correctly corresponds for all x's:

• x: 0 4 8 12
• f(x): -1 7 15 23

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Answer:

Read the answers below, including the graph.

Step-by-step explanation:

1. Let's find the number of minutes that each puppy was walked for 1, 2, 3, and 4 days.

                        Day 1    Day 2    Day 3    Day 4

Angela               90        180        270         360

Jarret                 30          60          90          120

Ordered pairs for Angela's puppy: (1,90); (2,180); (3,270); (4,360)

Ordered pairs for Jarret's puppy: (1,30); (2,60); (3,90); (4,120)

2. How many more minutes does Angela spend walking her puppy over 2 days compared to Jarret walking his puppy over 2 days?

180 - 60 = 120

Angela spend walking her puppy 120 more minutes over 2 days compared to Jarret

The length of Line BC is 10

What is a triangle?

A figure bounded by 3 sides and all the internal angles add up to 180 ° is called a triangle.

What are similar triangles?

Triangles having the same corresponding angles measures and proportional side lengths are called similar triangles.

How to find the length of the line BC?

Considering Δ AXY    and    ΔABC

                      ∠AXY       =      ∠ACB  (corresponding angles are equal)

                       ∠AYX       =      ∠ABC   (corresponding angles are equal)

                       ∠A is common in both the triangles

∴ We can say the triangles are similar .

Now, let H be the height of ΔABC and h be the height of ΔAYX

So, we can say,  

• Now, we know that area of the triangle can be found with the help of the formula (1/2)x(base)x(height)

So,  

⇒    

Now, substituting XY = 5 and    in the above equation, we get

⇒ BC² = 100

⇒ BC = ± 10

Since BC is the length , so it cannot be negative.

So, the negative value is rejected.

∴  BC = 10

Option B is correct.

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