Name a number that has a prime factorization with three distinct factors
1 answer:
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Answer:
Part a) The slope is
Part b) The equation in point slope form is
Part c) The equation in slope-intercept form is
Step-by-step explanation:
we have the points (3,4) and (-3,6)
Part a) What is the slope of the line?
The formula to calculate the slope between two points is equal to
substitute the given points
Part b) Write the equation of the line in point-slope form
we have
substitute
---> equation in point slope form
Part c) Write the equation of the line in slope-intercept form
we have
Isolate the variable y
distribute right side
Adds 4 both sides
---> equation in slope intercept form
Answer: 0.475 cups of broth per serving.
Explanation:
1) Ratio given:
i) To facilitate the operations, transform the mixed number 4 3/4 cups into improper fraction:
4 + 3/4 = [16 + 3] / 4 = 19 / 4
ii) ratio broth: servings
2) Proportion with the unknown number of cups of broth per serving:
3) Solve for the unknown:
x = [19 / 4] cups × 1 serving / 10 servings = 19 / 40 cups = 0.475 cups
Explanation:
1) Ratio given:
i) To facilitate the operations, transform the mixed number 4 3/4 cups into improper fraction:
4 + 3/4 = [16 + 3] / 4 = 19 / 4
ii) ratio broth: servings
2) Proportion with the unknown number of cups of broth per serving:
3) Solve for the unknown:
x = [19 / 4] cups × 1 serving / 10 servings = 19 / 40 cups = 0.475 cups