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Sphinxa [80]
3 years ago
7

Given the sequence 12, 9, 6, 3,........ where x = 0, 1, 2......,

Mathematics
1 answer:
Nitella [24]3 years ago
4 0

Answer:

f(x) = -3x + 12

Step-by-step explanation:

The chart could be represented like this:

x             y

0            12

1             9

2            6

3            3

Suppose that f(x) = y

And substitute x values.

y = -3x + 12

"x = 0"

y = -3(0) + 12

y = 0 + 12

y = 12

"x = 3"

y = -3(3) + 12

y = -9 + 12

y = 3

From the results, it corresponds to the function.

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None of the options give the same fees for a session of x hours.

Given,
x + 20/2 = 3x
when two tutoring services with different rate plans charge the same fees for a session of x hours.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements.

x + 20/2 = 3x
x + 10 = 3x

A) x= 10
10 + 10 = 3*10
20 ≠ 30


B) x=4
4 + 10 = 3 * 4
14 ≠ 12

C) x= -14
-14 + 10 = 3 * -14
-4 ≠ 42


D) x=-17
- 17 + 10 = 3 * - 17
-7 ≠ -51

Here, none of the options give the same fees for a session of x hours.

Thus, none of the options give the same fees for a session of x hours.

Learn more about arithmetic here:

brainly.com/question/14753192

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8 0
1 year ago
Emily has a road map with a key that shows an inch on the map equals 5 miles of actual distance.if a distance measured on the ma
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12 * 5 is 60.
Actual distance: 60 miles.
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3 years ago
What is true of the graph of two lines 3y-8=-5x and 6y=-10x+16
Murljashka [212]

Answer:

Both lines are equal (they are the same)

<em></em>

Step-by-step explanation:

Given

3y - 8 = -5x

6y = -10x + 16

Required

What is true about graph of both lines

<em>Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check  if both lines are either parallel or perpendicular</em>

<em />

To do this,

The first thing to do is to calculate the slope of both lines

3y - 8 = -5x

Add 8 to both sides

3y - 8 + 8 = -5x + 8

3y = -5x + 8

Divide both sided by 3

\frac{3y}{3} = -\frac{5x}{3} + \frac{8}{3}

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

------------------------------------------------------------------------------------------------------

6y = -10x + 16

Divide both sides by 6

\frac{6y}{6} = -\frac{10x}{6} + \frac{16}{6}

y = -\frac{10x}{6} + \frac{16}{6}

Simplify fractions to lowest term

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

-------------------------------------------------------------------------------------------------------

By comparing the slope, x intercept and y intercept of both lines;

It'll be observed that they have the same slope, x intercept and y intercept

<em>This implies that both lines are equal; in other words, they are the same.</em>

6 0
3 years ago
The number value of 2 in the number 4256​
Anastaziya [24]

Answer:

200

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Eva wants to make two pieces of pottery. She needs 3/5 pound of clay for one piece and 7/10 pound of clay for the other piece. S
Nostrana [21]
3/5 + 7/10 = 6/10 + 7/10 = 13/10 = 1 and 3/10 lbs. needed

She has 4/5 *3/1 bags = 12/5 = 2 and 2/5 pounds

2 2/5 - 1 3/10 = 2 4/10 - 1 3/10 = 1 and 1/10 pounds left over
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3 years ago
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