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Maths-

SAT

Easy

Question

The functions f and g are defined by f (x) = 4x and g(x) = x². For what value of x does f (x) − g(x) = 4 ?

-2
-1
1
2

The correct answer is: 2

Your answer is incorrect.
4x – x² = 4
x² – 4x + 4 = 0
x² – 2x – 2x + 4
x(x - 2) -2(x -2)
(x - 2)(x - 2) = 0
x = 2

Related Questions to study

If x + 3 = 2x − 2, what is the value of x − 4 ?

If x + 3 = 2x − 2, what is the value of x − 4 ?

2x(x² + 1) + (2x² − 2x)
Which of the following expressions is equivalent to the expression above?

2x(x² + 1) + (2x² − 2x)
Which of the following expressions is equivalent to the expression above?

One hundred park-district members will be selected to participate in a survey about selecting a new park-district coordinator. Which of the following methods of choosing the 100 members would result in a random sample of members of the park district?

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A physician prescribes a treatment in which a patient takes 2 teaspoons of a medication every 6 hours for 5 days. According to the prescription, how many teaspoons of the medication should the patient take in a 24-hour period?

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Total

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861
700

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Based on the table above, what fraction of the flights for Airline A were delayed.?

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On time

Delayed

Total

Airline A
Airline B

861
700

2,890
1,850

Total

1,561

4,740

Based on the table above, what fraction of the flights for Airline A were delayed.?

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Recommended Daily Intake of Potassium

Age

Potassium (mg)

0-6 months

400

7-11 months

700

1-3 years

3,000

4-8 years

3,800

9-13 years

4,500

14-17 years

4,700

18 years and up

4,700

The table above shows the recommended amount of potassium, in milligrams (mg) per day, for people of all ages according to the National Academy of Medicine.
The recommended daily intake of potassium for an eight-month-old child is what fraction of that recommended for a two-year-old child?

Recommended Daily Intake of Potassium

Age

Potassium (mg)

0-6 months

400

7-11 months

700

1-3 years

3,000

4-8 years

3,800

9-13 years

4,500

14-17 years

4,700

18 years and up

4,700

The table above shows the recommended amount of potassium, in milligrams (mg) per day, for people of all ages according to the National Academy of Medicine.
The recommended daily intake of potassium for an eight-month-old child is what fraction of that recommended for a two-year-old child?

parallel

Recommended Daily Intake of Potassium

Age

Potassium (mg)

0-6 months

400

7-11 months

700

1-3 years

3,000

4-8 years

3,800

9-13 years

4,500

14-17 years

4,700

18 years and up

4,700

The table above shows the recommended amount of potassium, in milligrams (mg) per day, for people of all ages according to the National Academy of Medicine.
Andrea's recommended daily intake of potassium is 50% greater than that of her two-year-old brother. What is the least possible age, in years, of Andrea?

Recommended Daily Intake of Potassium

Age

Potassium (mg)

0-6 months

400

7-11 months

700

1-3 years

3,000

4-8 years

3,800

9-13 years

4,500

14-17 years

4,700

18 years and up

4,700

The table above shows the recommended amount of potassium, in milligrams (mg) per day, for people of all ages according to the National Academy of Medicine.
Andrea's recommended daily intake of potassium is 50% greater than that of her two-year-old brother. What is the least possible age, in years, of Andrea?

Note: Figure not drawn to scale.
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Note: Figure not drawn to scale.
In the figure above, ABC and DEC are right triangles. If CD = 20 and the tangent of angle ABC is 2.5, what is the length of segment ED ?

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A red alder tree will be selected at random from the sample. What is the probability that the selected tree will have a measured diameter that is greater that is greater than 30 cm?

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