FG : (3,7)(-4,-5)
slope = (-5 - 7) / (-4-3) = -12/-7 = 12/7
y = mx + b
slope(m) = 12/7
(3,7)...x = 3 and y = 7
now we sub, we r looking for b, the y int
7 = 12/7(3) + b
7 = 36/7 + b
7- 36/7 = b
49/7 - 36/7 = b
13/7 = b
so ur equation is : y = 12/7 + 13/7.....slope = 12/7, y int = 13/7
HI : (-1,0)(4,6)
slope = (6 - 0) / (4 - (-1) = 6/5
no need to go any farther.....these lines have different slopes...and their not negative reciprocals....so there will be one solution. Answer is : neither.
The solution to the inequality is x > 3
The number line that represent the solution set will be:
<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option
<h3>Linear Inequalities </h3>
From the question, we are to determine the number line that represents the solution set for the given inequality
The given inequality is
3(8 – 4x) < 6(x – 5)
First, we will solve the inequality
3(8 – 4x) < 6(x – 5)
Clear the brackets
24 - 12x < 6x - 30
Collect like terms
24 + 30 < 6x + 12x
54 < 18x
Divide both sides by 18
3 < x
∴ x > 3
Hence, the number line that represent the solution set will be:
<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option
Learn more on Linear inequalities here: brainly.com/question/28003708
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Answer:
A rational number is a number that can be made by dividing two integers (an integer is a number with no fractional part). The word rational includes the word "ratio." Rational numbers are basically numbers, either positive or negative that you get by dividing 2 numbers. Any number is a rational number, even fractions and decimals, except pi due to the fact that it's a irrational number.
Step-by-step explanation:
Examples of rational numbers include, 1, which you get by dividing 1 by 1, 2 which you get by dividing 2 by 1 and 2.12, which you get by dividing 212 by 100.
Answer:
Choice B: .
Step-by-step explanation:
For a parabola with vertex , the vertex form equation of that parabola in would be:
.
In this question, the vertex is , such that and . There would exist a constant such that the equation of this parabola would be:
.
The next step is to find the value of the constant .
Given that this parabola includes the point , and would need to satisfy the equation of this parabola, .
Substitute these two values into the equation for this parabola:
.
Solve this equation for :
.
.
Hence, the equation of this parabola would be:
.
I think it’s d for the standard equation