All categories

2 years ago

Which graph is the function. f(x)=x^3-3x^2-4x

Mathematics

2 answers:

Sedaia [141]2 years ago

6 0

Answer:

See below description.

Step-by-step explanation:

The function $f(x) = x^3-3x^2-4x$ has the following characteristics:

Factors: $x(x+1)(x-4)$
Zeros/roots: x=0, x=-1, amd x=4
Positive leading coefficient
Graph starts down and curves up through -1 on the x-axis and back down to cross through 0. It curves back up again through 4 and finished off heading into positive infinity.
Its graph is the shape of a sideways S.
It has a relative maximum at 1.128 and relative minimum value of -13.128

zmey [24]2 years ago

6 0

Answer: A

Step-by-step explanation:

You might be interested in

Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr

Andrew [12]

Answer:

120 miles/6 hours = 20 mph. You need to do the same for the boat going with the current. 120 miles/ 5 hours = 24 mph.

Step-by-step explanation:

5 0

3 years ago

Factorise fully 9b-3b²

Schach [20]

3b(3-b) is the answer

Step by step explanation : take out the most common factor which is 3b

3 0

2 years ago

Read 2 more answers

The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Wri

emmainna [20.7K]

Answer:

a. i. x + y = 180 (1) and x - 4y = 5 (2)

ii. The two acute angles are 35° each and the two obtuse angles are 145° each.

Step-by-step explanation:

a. The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles.

i. Write a system of equations to find the measures of all the angles.

Let x be the obtuse angles and y be the acute angles.

Since we have two obtuse angles at the top of the isosceles trapezoid and two acute angles at the bottom of the isosceles trapezoid, and also, since the sum of angles in a quadrilateral is 360, we have

2x + 2y = 360

x + y = 180 (1)

Its is also given that the measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles.

So, x = 4y + 5 (2)

x - 4y = 5 (2)

So, our system of equations are

x + y = 180 (1) and x - 4y = 5 (2)

ii. Solve a system of equations to find the measures of all the angles.

Since

x + y = 180 (1) and x - 4y = 5 (2)

Subtracting (2) from (1), we have

x + y = 180 (1)

x - 4y = 5 (2)

5y = 175

dividing both sides by 5, we have

y = 175/5

y = 35°

From (1), x = 180° - y = 180° - 35° = 145°

So, the two acute angles are 35° each and the two obtuse angles are 145° each.

4 0

2 years ago

A glass is

serg [7]

Answer:

Step-by-step explanation:

4/7 x + 70 cm^3 = 3/4 x Subtract 4/7 x from both sides

3/4 x - 4/7 x = 70 cm^3 The lowest common denominator is 28

$\frac{3*7*x}{4*7} - \frac{4*4x}{4*7} = 70 cc\\\frac{21*x}{28} - \frac{16*x}{28} = 70 cc\\\frac{5x}{28}= 70cc\\$

5x = 70*28

5x = 1960 Divide by 5

x = 1960/5

x = 392 cc

7 0

2 years ago

Read 2 more answers

14) Rounded to the nearest whole number, the square

Katen [24]

Answer:

3934

Step-by-step explanation:

Round 15,479,652 and find square root.

4 0

2 years ago