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Vikki [24]
3 years ago
15

Is (3,7), (3,8), (3,9), (3,10) a function

Mathematics
1 answer:
pogonyaev3 years ago
4 0

Answer:

(3,7), (3,8), (3,9), (3,10) is not a function.

Step-by-step explanation:

A function is defined as a relation in which each input value has only a single output value.

This means that for each x value there should be only one y  

value. If this criteria is not fulfilled then the relation cannot be called a function.

For the given set of points, we notice that for x=3, y=7,8,9,10 which shows there are many y-values o for a single x-value. This means there are many outputs for a single input. This disqualifies it to be a function.

Thus, (3,7), (3,8), (3,9), (3,10) is not a function.

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Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
Gnom [1K]

Answer:

Student B is correct

Student A failed to distribute -4 and -6 when opening the brackets in the first step

Step-by-step explanation:

The solution Student A gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x + 6 = -12x + 1 - 4

-10x + 6 = -12x - 3

2x = -9

x = -4 _1 2 ( -4 1/2)

The solution Student B gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x - 24 = -12x - 6 - 4

-10x - 24 = -12x - 10

2x = 14

x = 7

Student B is correct.

Explanation of the error:

Student A failed to distribute -4 and -6 when opening the brackets in the first step.

That is,

2x - 4(3x + 6) = -6(2x + 1) - 4

To open this bracket, we will distribute, -4 and -6 so that we get

2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4

Then we will get

2x -12x -24 = -12x -6 -4

Adding the like terms

-10x - 24 = -12x - 10

Collecting like terms

-10x + 12x = -10 + 24

∴ 2x = 14

x = 14 / 2

Hence,

x = 7

8 0
3 years ago
Which is the correct calculation of the y-coordinate of point A? 0 (0 - 0)2 + (1 - y2 = 2 O (0 - 1)² + (0- y2 = 22 (0-0)² + (1 -
dimaraw [331]

Answer:

The y-coordinate of point A is \sqrt{3}.  

Step-by-step explanation:

The equation of the circle is represented by the following expression:

(x-h)^{2}+(y-k)^{2} = r^{2} (1)

Where:

x - Independent variable.

y - Dependent variable.

h, k - Coordinates of the center of the circle.

r - Radius of the circle.

If we know that h = 0, k = 0 and r = 2, then the equation of the circle is:

x^{2} + y^{2} = 4 (1b)

Then, we clear y within (1b):

y^{2} = 4 - x^{2}

y = \pm \sqrt{4-x^{2}} (2)

If we know that x = 1, then the y-coordinate of point A is:

y = \sqrt{4-1^{2}}

y = \sqrt{3}

The y-coordinate of point A is \sqrt{3}.  

4 0
3 years ago
Determine wheather the graphs of y = 2x+1 and y=-3X-7 are parallel, perpendicular, coincident, or none of these
Readme [11.4K]

Answer:

The two graphs are perpendicular

Step-by-step explanation:

The slope of the first one is the reciprocal of the second. Also I graphed it.

5 0
2 years ago
An athlete jumped 5.5 feet which was 1.1 times higher than the previous jumper how high did the previous athlete jump
Fantom [35]

Answer:

5 ft

Step-by-step explanation:

Let the height of the previous jump be represented by j.  Then 1.1j = 5.5 ft.

Dividing both sides by 1.1, we get j = 5 ft.  This was the height of the previous jump.

3 0
3 years ago
Read 2 more answers
29. The table below represents the relationship of the price of carrots to their weight in ounces in a market: Price Weight, in
Alinara [238K]

The proportional relationship that represents the market that sells their carrots at a lower rate per pound is: y = 1.6x.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

From the table, the rate is:

k = $8.8/4.4 = 2.

From the market, the rate is:

k = $4.8/3 = $1.6.

Hence the equation is y = 1.6x.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

3 0
2 years ago
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