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Rudik [331]
3 years ago
13

The table shows the outputs, y, for different inputs, x: Input (x) 3 7 11 15 Output (y) 4 6 8 10 Part A: Do the data in this tab

le represent a function? Justify your answer. (3 points) Part B: Compare the data in the table with the relation f(x) = 5x − 21. Which relation has a greater value when x = 11? (2 points) Part C: Using the relation in Part B, what is the value of x if f(x) = 99? (5 points) (10 points) Show/hide advanced buttons
Mathematics
1 answer:
stiv31 [10]3 years ago
3 0

Answer:

Step-by-step explanation:

x (3,7,11,15)

y (4,6,8,10)

A. This IS a function because u have no repeating x values

B. Data in table :

    when x = 11, y = 8

   relation : f(x) = 5x - 21....when x = 11

                  f(11) = 5(11) - 21

                  f(11) = 55 - 21

                  f(11) = 34.....so when x = 11, y = 34

therefore, the relation f(x) = 5x - 21 has a greater value then the table

C. f(x) = 5x - 21......f(x) = 99

   99 = 5x - 21

   99 + 21 = 5x

   120 = 5x

   120/5 = x

   24 = x <====

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Sheila and Lenore were driving to their grandmother’s house. Lenore left 1 hour after Sheila. Sheila drove at a rate of 45mph, a
solong [7]

Answer:

It'll take 3 h before Lenore catch up to Sheila.

Step-by-step explanation:

To solve this problem we first need to calculate the relative speed between the two. Since they're going at the same direction we need to subtract their individual speeds if their directions were oposite we would have to sum their speeds. In this case we have:

relative speed = Lenore speed - Sheila speed

relative speed = 60 - 45 = 15 mph

Since Sheila left 1 h before Lenore and she drove at a rate of 45 mph, then she had covered a distance of:

distance = time*speed = 1*45 = 45 miles

Before Lenore left, so in order for Lenore to catch up to Sheila she needs to cover that distance at a relative speed of 15 mph.

time = distance/(relative speed) = 45/15 = 3 h

It'll take 3 h before Lenore catch up to Sheila.

4 0
3 years ago
the annual interest rate on a credit card is 14.99% . If the minimum payment of 40$ is made each month, how many months will it
zmey [24]

Answer:

Let's try and figure it out yearly:

So for the first year the deposits would amount to 40 * 12 = $480

Now since the interest rate is applied yearly we will assume that the interest rate will be applicable to the amount that is left after the first year of deposits

So that would be 889.98 - 480 = 409.98

409.98 * 14.99 % = 61.45

The new amount owed for the second year would be 409.98 + 61.45 = 471.43

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Step-by-step explanation:

6 0
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Aleksandr [31]

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I think that the answer is 3/25

4 0
2 years ago
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If a diameter intersects a chord of a circle at a perpendicular, what conclusion can be made? The diameter and the chord are con
yarga [219]

Answer:

The chord is bisected ⇒ 3rd answer

Step-by-step explanation:

* Lets revise some facts in the circle to solve the problem

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* Lets solve the problem

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