Answer: y = 5x − 11
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (3,4) and (2, -1),
y2 = - 1
y1 = 4
x2 = 2
x1 = 3
Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5
To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into
y = mx + c. It becomes
4 = 5 × 3 + c
4 = 15 + c
c = 4 - 15 = - 11
The equation becomes
y = 5x - 11
Answer:
$108
Step-by-step explanation:
1 box = $12
18 boxes = 12×18 = $216
Total = 18×65 = 1170 pens
Cost price, Cp = $216
3 = $1
378 = 378/3 = $126
1170-378= 792 pens remaining
4 = $1
792 = 792/4 = $198
Total selling price, sp = 126+198 = $324
Profit = Sp - Cp = 324 - 216 = $108
Answer:
678
2
679
Step-by-step explanation:
Number of people: 5426
Capacity of table: 8
How many tables are full?
- Number of full tables= 5426/8= 678.25 so full part is 678
How many people are sitting at a table that is not full?
- 0.25 table= 8*0.25= 2 people are sitting at a table that is not full
or
How many tables are needed for all 5,426 people?
Answer:
Tell whether the following equations represent a linear function.
<em><u>10x + 2y = 4--linear </u></em><em><u>equation✓</u></em>
−x² + 3y = 19--quadratic equation
<em><u>6x + 1/2y = 3--linear </u></em><em><u>equation✓</u></em>
The domain of the given inequality is y>1.
<h3>
What is Inequality?</h3>
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here, given inequality:
y < 
Related equation:
y =
The equation defined as,
x+3 > 0
x > -3
In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,
adding 1 on both sides, we get
y ≥ 1
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
Thus, the domain of the given inequality is y>1.
Learn more about Inequality from:
brainly.com/question/20383699
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