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3 years ago

Classify is the function as increasing decreasing or constant l

Mathematics

1 answer:

timama [110]3 years ago

5 0

Answer:

Increasing

Step-by-step explanation:

Remember that f(x) is the same as y in slope intercept form y = mx + b.

We don’t have a number for “b” which means the line goes across the origin.

Since 5 replaces m, that is the slope and since it’s positive, it is increasing.

Best of Luck!

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Determine whether quantities vary directly or inversely and find the constant of variation. 16 factory workers made 40 pieces in

Andrei [34K]

Answer:

Part A) $8\ workers$

Part B) $10\ workers$

Part C) $40\ workers$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

x -----> the number of workers

y ----> the number of pieces made

In this problem

The relation between the variables x and y represent a direct variation (proportional variation)

For x=16, y=40

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{y}{x}$

$k=\frac{40}{16}\\k=2.5\ \frac{pieces}{worker}$

The linear equation is equal to

$y=2.5x$

Part A) How many workers are needed to make 20 pieces

For y=20 pieces

substitute in the linear equation

$20=2.5x$

$x=8\ workers$

Part B) How many workers are needed to make 25 pieces

For y=25 pieces

substitute in the linear equation

$25=2.5x$

$x=10\ workers$

Part C) How many workers are needed to make 100 pieces

For y=100 pieces

substitute in the linear equation

$100=2.5x$

$x=40\ workers$

3 0

3 years ago

I need help I don’t get it I can’t get past this

Westkost [7]

Answer:

S is the correct answer If it needs to be in alphabetical order.

Step-by-step explanation:

(If not then it could be either S or V)

5 0

3 years ago

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Express 72 as a product of its prime factors

NISA [10]

Answer:

okay

Step-by-step explanation:

2^3 times 3^2

6 0

4 years ago

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What is the prime factorization of 60?

Serjik [45]

Answer:

2*2*3*5

Step-by-step explanation:

Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

8 0

2 years ago

Virgil has 1/6 of a birthday cake left over. He wants to share the leftover cake with 3 friends. What fraction of the original c

FromTheMoon [43]

Virgil has 1/6 of the original cake, which he wants to divide into 4 parts. Thus:
1/6 / 4
= 1/6 x 1/4
= 1/24

Each person will receive 1/24 of the original cake.

3 0

3 years ago

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