Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
The grams of apples left is 413765 grams
<h3>How to determine the value</h3>
From the information given, we have that:
- There are 36 crates of apples
- Each contains 25 kilograms of apples
- 486,235 grams of apples were sold
If we have 36 crates, let's determine the the total grams of apples
1 crate = 25 kilograms = 25000 grams
36 crates = x
x = 25000 × 36
x = 900000 grams
The total grams of apple is 900000 grams
The grams left = Total - sold = 900000 - 486,235 = 413765 grams
Thus, the grams of apples left is 413765 grams
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<h3>
Answer: f(x) = (-1/2)x+1, choice B</h3>
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Explanation:
The diagonal line passes through 1 on the vertical y axis. So the y intercept is b = 1. This means the location of the y intercept is (0,1).
Start at (0,1) and move down 1 and to the right 2 to arrive at (2,0). This is another point on the diagonal line. The motion of "down 1 and right 2" is effectively the slope
slope = rise/run = -1/2
rise = -1, run = 2
The rise being negative means we have gone downhill as we move to the right.
With m = -1/2 as the slope and b = 1 as the y intercept, we go from y = mx+b to y = (-1/2)x+1
The last thing to do is replace y with f(x) to get f(x) = (-1/2)x+1 as the final answer.
Answer:
7x2−2x−12
Step-by-step explanation:
Answer:
1,2,3,4,6,9,12,18,36
Step-by-step explanation:
