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2 years ago

Which representations are functions?

Mathematics

1 answer:

Mkey [24]2 years ago

4 0

9514 1404 393

Answer:

2) II and IV

Step-by-step explanation:

A function will have only one output value for any given input.

I. The table has two different outputs for an input of x=2.

II. The first values of the ordered pairs are all unique. This is a function.

III. The graph shows two different output values for each x input that is greater than 0.

IV. A polynomial always represents a function.

The representations in II and IV are functions.

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A paper container in the shape of a right circular cone has a radius of 3 inches and a height of 8 inches. Determine and state t

Scrat [10]

Given:

Radius of the cone = 3 inches

Height of the cone = 8 inches

To find:

The volume of the cone, in terms of π.

Solution:

We know that, the volume of a cone is:

$V=\dfrac{1}{3}\pi r^2h$

Putting $r=3,h=8$ , we get

$V=\dfrac{1}{3}\pi (3)^2(8)$

$V=\dfrac{1}{3}\pi (9)(8)$

$V=\dfrac{72}{3}\pi$

$V=24\pi$

Therefore, the volume of the cone is $24\pi$ .

7 0

1 year ago

If a car goes 280 miles in 4 hrs how far could it go in 6 hrs and 30 mins

Zina [86]

Answer:

280/4 = 70 miles per hour. Next, take the unit rate and multiply it by the number of hours you are trying to find. In this case, you are trying to find 6 hours and 30 minutes, but this can also be rewritten as 6.5, since 30 minutes is half an hour. So, in 6.5 hours, the car can go 455 miles

7 0

2 years ago

HELP ITS AN EMERGENCY

forsale [732]

Answer:

<u>A. Vertex: (1, -8); x-intercepts: -1 and 3</u>

Step-by-step explanation:

The vertex is the point of the parabola. Basically, the part where the parabola 'scoops' up.

So the point where it scoops up is (1, -18)

The x-intercepts are the points where the line or shape touches the x-axis. The x-axis is the lines that goes from left to right.

The places where it touches the x-axis is -1 and 3

7 0

2 years ago

Keiko has seven colors of lanyard. She uses three different colors to make a keychain. How many different combinations can she c

AleksAgata [21]

Combination = doesn't matter what order
Permutation = order matters

There are <u>two</u> methods to work out combinations.

Method 1 List out possibilities
123 124 125 126 127 134 135 136 137 145 146 147 156 157 167
234 235 236 237 245 246 247 256 257 267
345 346 347 356 357 367
456 457 467
567

For a total of 35 combinations.

Method 2 Use a formula.
It's a rather complicated one, so only use it if you have a lot of possibilities.

$\frac{n!}{r!(n-r)!} = \frac{7!}{3!(7-3)!} = \frac{7!}{3!*4!} = \frac{7*6*5*4*3*2*1}{3*2*1*4*3*2*1} = \frac{7*6*5}{3*2*1}=\frac{210}6=35$

(n is the number of choices, r is the amount you choose, and ! is a function that multiplies together all numbers down to 1)

7 0

3 years ago

I’m thinking of a number. When you multiply it by 3 and subtract 10 you will get a number less than 5. Form an inequality and so

sweet-ann [11.9K]

Answer:

$3x-10$

Step-by-step explanation:

Let x be equal to the number.

We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:

$3x-10$

To find the range of possible values, we must solve the inequality and isolate x.

$3x-10$

Add 10 to both sides

$3x-10+10$

Divide both sides by 3

$\frac{3x}{3}$

I hope this helps!

4 0

2 years ago