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3 years ago

Which of the following is the function for the graph below and shows the end behavior of the function as x ⟶ +∞?

Mathematics

2 answers:

sladkih [1.3K]3 years ago

6 0

The simplest solution:

y - intercept of the function on the graph is (0; 6).

Only function f(x) = (4x^2 - 7x - 2)(2x - 3) has that y-intercept

f(0) = (4 · 0² - 7 · 0 - 2)(2 · 0 - 3) = (-2)(-3) = 6

Other functions have y - intercept equal (0; -6).

f(0) = (0 ... - 2)(0 + 3) = (-2)(3) = -6 or f(0) = (0 ... + 2)(0 - 3) = (2)(-3) = -6

Grace [21]3 years ago

5 0

The end behaviour is f(x) ---> +∞ because the end of the graph rises to the right so its either B or C

The roots of B are -0.25, 1.5 and 2

( because 4x^2 - 7x - 2 = (4x + 1)(x - 2) and 2x - 3 = 0) ) and these values agree with the graph

Answer is B

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What is the domain of g?

sattari [20]

Answer:

{ x | -7 ≤ x ≤ 4 }

Step-by-step explanation:

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3 years ago

An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

natima [27]

Answer:

Speed of the plane in still air: $779\; {\rm km \cdot h^{-1}}$ .

Windspeed: $100\; {\rm km \cdot h^{-1}}$ .

Step-by-step explanation:

Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be $(x - y)\; {\rm km \cdot h^{-1}}$ .
When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

Similarly, since the plane travels $7911\; {\rm km}$ in $9\; {\rm h}$ when travelling in the same direction as the wind ( $v = (x + y)\; {\rm km \cdot h^{-1}}$ ,) $9\, (x + y) = 7911$ .

Add the two equations to eliminate $y$ . Subtract the second equation from the first to eliminate $x$ . Solve this system of equations for $x$ and $y$ : $x = 779$ and $y = 100$ .

Hence, the speed of this plane in still air would be $779\; {\rm km \cdot h^{-1}}$ , whereas the speed of the wind would be $100\; {\rm km \cdot h^{-1}}$ .

3 0

2 years ago

Divide 650 sweets between Cia, Mia and Tia in the proportion 3:4:6. Calculate how many sweets each girl gets.

vodka [1.7K]

Answer:

150, 200, 300

Step-by-step explanation:

sum the parts of the ratio , 3 + 4 + 6 = 13 parts

divide the total by 13 to find the value of one part of the ratio

650 ÷ 13 = 50 ← value of 1 part of the ratio , then

3 parts = 3 × 50 = 150 ← number of sweets Cia gets

4 parts = 4 × 50 = 200 ← number of sweets Mia gets