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1 answer:
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Answer:
Step-by-step explanation:
The absolute value function negates its argument when its argument is negative. The expression 3x+12 will be negative when ...
3x +12 < 0
x +4 < 0
x < -4 . . . . . makes the absolute value function change its argument's sign
Using this fact, we can divide the domain into intervals below -4, at -4, and above -4. The above answer shows the function value in each domain interval.
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Answer:
B- For an equal number of servings, the bananas will have three times as much sugar
Step-by-step explanation:
The complete question is
A carrot has 5 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?
A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.
B- For an equal number of servings, the bananas will have three times as much sugar.
C- For an equal number of servings, the bananas will always have 10 more grams of sugar.
D- The amount of sugar in two servings of carrots is 30 grams.
<u><em>Verify each statement</em></u>
A- <u>There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas</u>
The statement is False
Because
In 10 servings of carrots there are 10(5)=50 grams of sugar
In 5 servings of banana there are 5(15)=75 grams of sugar
therefore
50 g < 75 g
B- <u>For an equal number of servings, the bananas will have three times as much sugar</u>
The statement is true
Because
In one serving of carrots there are 5 grams of sugar
In one serving of bananas there are 15 grams of sugar
The ratio of grams of sugar in a serving of bananas to grams of sugar in a serving of carrots is 15:5
Simplify
3:1
therefore
An equal number of servings, the bananas will have three times as much sugar
C- <u>For an equal number of servings, the bananas will always have 10 more grams of sugar. </u>
The statement is False
Because
In 10 servings of carrots there are 10(5)=50 grams of sugar
In 10 servings of banana there are 10(15)=150 grams of sugar
so
D- <u>The amount of sugar in two servings of carrots is 30 grams</u>
The statement is False
Because
In 2 servings of carrots there are 2(5)=10 grams of sugar