Help please in y= mx + b form
2 answers:
Answer:
y = - x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 6) and (x₂, y₂ ) = (2, - 9) ← 2 points on the line
m = =
= -
Note the line crosses the y- axis at (0, - 8) ⇒ b = - 8
y = - x - 8 ← equation of line
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Asher gave lemonade to 14 students
<em><u>Solution:</u></em>
Given that, A container has 12 and cups of lemonade
Asher gives each of his classmates of a cup of lemonade
To find: Number of classmates received the lemonade
From given question,
Total cups of lemonade =
cups of lemonade received by each classmate =
Thus, number of classmates received the lemonade can be found by dividing total cups of lemonade by cups of lemonade received by each classmate
Thus Asher gave lemonade to 14 students
There are no algebraic methods for finding solutions to a general mix of exponential and polynomial terms. A graphing calculator can be helpful.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.