Hello people ~factorise : 5x²+16x+3
2 answers:
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Answer:
Part A: f(x) = 4·x² - 7·x-15 = (x - 3)·(4·x + 5)
Part B: The x-intercepts are x = 3 and -1.25 #
Part C: As x approaches ∞, y approaches ∞, as x approaches -∞, y approaches ∞
Part D: The graph is a u-shaped quadratic equation graph passing though the x-intercept points -1.25 and 3 on the x-axis and the y-intercept point -15 on the y-axis. Both sides of the symmetrical graph curve extending to infinity
Step-by-step explanation:
The function 4·x² - 7·x-15
To factorize the expression, we have at the 0 factors;
Where;
a = 4, b = -7, c -15, substituting gives;
Which gives;
(x - 3)·(x + 1.25) = (x - 3)·(4·x + 5)
f(x) = 4·x² - 7·x-15 = (x - 3)·(4·x + 5)
Part B: The x-intercepts are the point where y = 0, which are x = 3 and -1.25 as shown above
Part C: As x approaches ∞, y approaches ∞, as x approaches -∞, y approaches ∞
Part D: With the the nature of the function as y approaches ∞ and -∞ the graph is a u-shaped graph of a quadratic equation passing though the points -1.25 and 3 on the x-axis and the point -15 on the y-axis.
The capacity of each bottle is .
Further explanation:
Given:
Julianbought 3.9liters of cranberry juice.
Jay bought 8.74 liters of Apple juice.
They mixed both the juice equally.
Procedure:
1. First find total capacity of both the juice.
2. Now, divide by 2 to find weight of juice in each bottle.
Calculation:
The total juice (in liters) can be obtained by adding both the juice brought by the Julian and Jay.
Therefore, the total juice (in liters) is 12.64 liters.
To obtain the number of liters in each bottle can be obtain by divide the total juice in liter by 2.
Therefore the capacity of each bottle of juice is 6.32 liters.
Thus, the capacity of each bottle is .
Method 2:
Simple Method:
The Average of two juices gives the value of number of liters in each bottle.
The average is defined as the sum of the items divide by the number of items.
Thus, the capacity of each bottle is .
Learn more:
1. Learn more about algebraic expression brainly.com/question/1600376
2. Learn more about averagehttps://brainly.com/question/3959122
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Algebraic expression
Keywords:
Julian, Jay, apple juice, juice, cranberry juice, 3.9 liters, 8.74 liters, mixed, equally, bottles, two juice, poured, 6.32 liters, liters.