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Harman [31]
2 years ago
15

3. URGENT HELP!!

Mathematics
1 answer:
denis23 [38]2 years ago
3 0
3a)
Equation of a line formula: y - y₁ = m(x - x₁)
x₁ and y₁ are coordinates of one point on the line
m is the gradient of the line
m = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)
If we say:
(x₁, y₁) = (0, -1)
(x₂, y₂) = (2, 3)
then:
m = (3 - -1)/(2 - 0)
= 4/2
= 2
So, the equation of the line is (using the formula):
y - -1 = 2(x - 0)
y + 1 = 2x
y = 2x - 1

3b)
Any two given lines will always intersect unless they have the same gradient, i.e. they are parallel;
So, to determine if the two lines will intersect all we have to do is work out the gradient of the second line and see if it is the same as the the gradient of the first (which we worked out to be 2) or not;
So, for the second line:
(x₁, y₁) = (-3, 3)
(x₂, y₂) = (-2, 4)
And so:
m = (4 - 3)/(-2 - -3)
= 1/1
= 1
1 ≠ 2;
The gradients of the two lines are not the same;
They are not parallel;
They will intersect at some point.

4a)
                 ||   Male   ||   Female
0 ≤ x ≤ 1   ||     66     ||        2
2 ≤ x ≤ 7   ||    583    ||      160
8 ≤ x         ||     89     ||       42
Total               738            204
x = number of times a day hand are washed

4b)
66/738 × 100 = 8.94..... ⇒ 9%
9% of males wash their hands once or less per day
2/204 × 100 = 0.980..... ⇒ 1%
1% of females wash their hands once or less per day

89/738 × 100 = 12.0..... ⇒ 12%
12% of males wash their hands 8 or more times per day
42/204 × 100 = 20.5..... ⇒ 21%
21% of females wash their hands 8 or more times per day

On average, it appears that females tend to wash their hands more frequently;
However, the fact that significantly less women reported could mean the data is not suitable to be used to compare the number of hand washes between males and females. <span />
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Can someone please help I will be giving Brainliest to whoever can answer :)
storchak [24]

The inequalities are matched with their correct graph respectively as follows:

  1. D ⇒ {(x, y): y > x²}.
  2. G ⇒ {(x, y): y ≥ x²+ 3
  3. C ⇒ {(x, y): y ≤ 3x² + 2}
  4. A ⇒ {(x, y): y ≥ 2x² - 5x + 1}
  5. J ⇒ x²- 3x ≥ 0
  6. H ⇒ x² - 3x + 2 ≤ 0
  7. B ⇒ {(x, y): y ≤ 1 - x²}
  8. B ⇒ {(x, y): y ≥ -1}

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

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.

Read more on graph of inequalities here: brainly.com/question/24372553

#SPJ1

Complete Question:

Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)

1. A = {(x, y): y > x^2}

2. B = {(x, y): y ≥ x^2+ 3}

3. C = {(x, y): y ≤ 3x^2 + 2}

4. D = {(x, y): y ≥ 2x^2- 5x + 1}

6. x^2- 3x ≥ 0

7. x^2- 3x + 2 ≤ 0

8. {(x, y): y ≤ 1 - x^2}

9. {(x, y): y ≥ -1}

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Is x=12 in the solution set of the inequality x-2&gt;11
Nostrana [21]

Answer:

Yes

Step-by-step explanation:

since 12 is less than 13

6 0
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