Answer:
y - 12 = 5(x - 3) {<u>the point-slope form of the equation}</u>
y = 5x + 9 {the slope-intercept form of the equation}
5x - y = -9 {standard form of the equation}
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
y = 5x - 7 ⇒ m = 5
(3, 12) ⇒ x₀ = 3, y₀ = 12
So, <u>the point-slope form of the equation</u>:
y - 12 = 5(x - 3)
Therefore:
y - 12 = 5x - 3 {add 12 to both sides}
y = 5x + 9 ← <u>the slope-intercept form of the equation</u>
y = 5x + 9 {subtract5x from both sides}
y - 5x = 9 {multiply both sides by (-1)}
5x - y = -9 ← <u> the standard form of the equation</u>
Answer:
Step-by-step explanation:
From the question we are told that
Angle
Height of plane
Generally the equation for the total distance flown is mathematically given by
Therefore total distance flown is
I might not be understanding what you mean but I think it is by counting 10s. 170,180,190,200,210,220,230,240,250,260,270,280,290,300,310,320,330,410.
Answer:
- The equation that represents this function is f(x)=x−7.
- The range of this function is increasing as the domain increases.
Step-by-step explanation:
The line has a slope (m) of 1 and a y-intercept (b) of -7. Thus the equation in slope-intercept form is
... y = mx + b
... y = x - 7
For a linear function such as this, the size of the domain is equal to the size of the range (because the slope is 1). Thus when one increases, so does the other.
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<em>Comments on the problem</em>
It appears the first answer choice is a result of mixing up slope and intercept in the equation of the line. A slope (x-coefficient) of -7 is a pretty steep line going downward from left to right. The graph does not have that characteristic.
It is a bit unusual to talk about domain and range increasing or decreasing. The domain is the region over which the function is defined, so is generally fixed. The range is the corresponding set of values of the function, fixed once the domain is determined. Here, since the function is linear, if one were to define it over a larger region, the range of values produced by the function would also get larger.
<span>The standard error of the
mean, also known as the standard deviation of the mean, is a system used to assess
the standard deviation of a sampling distribution. To comprehend this, first it
is essential to apprehend why a sampling distribution is compulsory.</span>