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Answer:
2x² +5x -12 = 0
Step-by-step explanation:
When p and q are roots of a quadratic, its factored form can be written as ...
(x -p)(x -q) = 0
Here, the roots are given as -4 and 3/2, so the factored form would be ...
(x -(-4))(x -(3/2) = 0
Multiplying by 2 gives us ...
(x +4)(2x -3) = 0
Expanding the product, we find the desired quadratic is ...
2x² +5x -12 = 0
Solution:
<u>Note that:</u>
- 3x + 50 = 6x - 10 (Vertically opposite angles)
Simplify the equation to find x.
<u>Add 10 both sides.</u>
- 3x + 50 = 6x - 10
- => 3x + 50 + 10 = 6x - 10 + 10
- => 3x + 60 = 6x
<u>Subtract 3x both sides.</u>
- 3x + 60 = 6x
- => 3x - 3x + 60 = 6x - 3x
- => 60 = 3x
<u>Divide 3 both sides.</u>
- 60 = 3x
- => 60/3 = 3x/3
- => x = 20
There is 3.7 grams of sugar in each ounce of sugar Buzz.
Two variables are said to be proportional or have a proportional relationship when they have equivalent ratios. That is they increase or decrease by a factor.
Let x represent the size of Sugar Buzz soft drink and let y represent the amount of sugar.
y is proportional to x, hence:
y = kx; k is the constant of proportionality.\
When x = 12 ounce, y = 44.4 grams, hence:
12k=44.4
k = 3.7 gram per ounce
Therefore there is 3.7 grams of sugar in each ounce of sugar Buzz.
Find out more at: brainly.com/question/25049845
Answer:
75°
Step-by-step explanation:
