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2 years ago

1. Use the function rule. Find y for x = 0, 1, 2, and 3. y = 4x – 2

Mathematics

1 answer:

HACTEHA [7]2 years ago

7 0

The value of y at x = 0, 1, 2, and 3 is -2 ,1,6,10 .

The missing options are

y = –2, 2, 6, 10

y = 2, 6, 10, 14

y = 4, 6, 8, 10

y = –4, –2, 0, 2

<h3>What is a Function ?</h3>

A function is a law that defines relation between a dependent variable and an independent variable .

A function is given

y = 4x-2

x = 0,1,2,3

y = ?

At x = 0

y = -2

x = 1

y = 2

at x =2

y = 6

at x = 3

y = 10

The value of y at x = 0, 1, 2, and 3 is -2 ,1,6,10 .

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Gerald has a punch bowl in the shape of a hemisphere as shown below.

zmey [24]

The closest to the maximum number of cups the punch bowl can hold is 30

<h3>How to determine the number of cups?</h3>

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

$V = \frac{2}{3}\pi r^3$

This gives

$V = \frac{2}{3}\pi * 6^3$

Evaluate

V = 452.16

The maximum number of cups is then calculated using:

Cups = 452.16/15

Evaluate

Cups = 30.1444

Approximate

Cups = 30

Hence, the closest to the maximum number of cups the punch bowl can hold is 30

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2 years ago

Find two pairs of integers whose sum is -6

aalyn [17]

<span>Find all pairs of consecutive even integers whose sum is greater than 73 but less than 79.

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3 years ago

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Locate 11/3 on a number line

geniusboy [140]

11/3 would be closlely to 3.5 because it is 3.66667

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4 years ago

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7x+5=8x Please help !!

MakcuM [25]

7x + 5 = 8x

=》 7x - 8x = - 5

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3 0

3 years ago

Which equation has a constant of proportionality equal to 9 y=81/3x y=9x y=3x y==1/9x

aev [14]

Answer:

B) y = 9 x has Proportionality Constant = 9

Step-by-step explanation:

Two quantities P and Q are said to be PROPORTIONAL if and only if:

P ∝ Q ⇔ P = k Q ⇔ $k = \frac{P}{Q}$

Here, k = PROPORTIONALITY CONSTANT

Given : k = 9

Now, let us consider the given expressions in which x ∝y

y = 81/3 x

Here, $\frac{y}{x} = \frac{81}{3} = 27 \ne 9$

So, here Proportionality Constant ≠ 9

y = 9 x

Here, $\frac{y}{x} = 9$

So, here Proportionality Constant = 9

y = 3 x

Here, $\frac{y}{x} = 3 \ne 9$

So, here Proportionality Constant ≠ 9

y = 1/9 x

Here, $\frac{y}{x} = \frac{1}{9} \ne 9$

So, here Proportionality Constant ≠ 9

Hence, only y = 9 x has Proportionality Constant = 9

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4 years ago