Answer:
Step-by-step explanation:
Q2:
The point-slope form of an equation of a line:
m - slope
The formula of a slope:
We have the points (4, 6) and (6, 10). Substitute:
<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>subteact 2 from both sides</em>
Q4:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:
<em>use distributive property</em>
<em>add 6 to both sides</em>
Answer:
-7x³ - ⅑x - 1
Step-by-step explanation:
A polynomial written in standard form would be written in such a way that the term with the highest degree comes first, followed by the second highest and so on, then what comes last is the constant.
Given the polynomial -7x³ - 1 - ⅑x, -7x³ with the highest degree comes first, followed by -⅑x, and then the constant, -1, comes last.
Thus, we would have:
✅-7x³ - ⅑x - 1
1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³
Therefore:
A machine can fill 12 ft³ in 3 seconds.
2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³
3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.
12 ft³---------------------3 seconds
120 ft³-------------------- x
x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.
answer: 30 seconds.
The answer is in the picture .:...
Table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.
We have the tables shown in the picture.
We know the quadratic form of a parabola is:
y = ax² + bx + c
If a > 0 the parabola opens
In the equation:
y = x² - 6x
1 > 0 the parabola opens and y-intercept is:
y = 0 (plug x = 0 in the given equation)
a = 1, b = -6, and c = 0
Thus, table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.
Learn more about the parabola here:
brainly.com/question/8708520
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