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3 years ago

What is the end behavior of the function f(x) = -3x4-x3 + 2x2 + 4x + 5?

Mathematics

2 answers:

sp2606 [1]3 years ago

6 0

Answer:

down on left, down on left

Step-by-step explanation:

Look at the first term or the one with the highest degree.

Even Degree and positive coefficient: *up left* and *up right*

Even degree and negative coefficient: *down left* and *down right*

Odd Degree and positive coefficient: *down left* and *up right*

Odd Degree and negative coefficient: *up left* and *down right*

Mariulka [41]3 years ago

3 0

The domain of the function is - infinity to -+ infinity (R), the terminal limits are unique, it is - infinity
so the answer is down on the left, down on the right

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The perimeter of a rectangle is 30 cm. The width of the rectangle is 7 cm.

kolezko [41]

Answer:

area is 56

Step-by-step explanation:

4 0

3 years ago

HELP 30 POINTS!!!!!

Tamiku [17]

by pythagorean formula, the last side is √(61)

by cos rule

cos A

$= \frac{ {6}^{2} + 61 - {5}^{2} }{2 \times 6 \times \sqrt{61} } \\ = \frac{72}{12 \sqrt{61} } \\ = \frac{6}{ \sqrt{61} }$

A = 39.81

5 0

3 years ago

1. Slove the system of equations, first by graphing, and then algebraically. (8 points) y=x-2 and y=-2x+7

Anton [14]

The solution of the equation is $x=3$ and $y=1$

Explanation:

The equations are $y=x-2$ and $y=-2 x+7$

First we shall solve the equation graphically.

The image of the graph is attached below.

This contains the solution to the system of equations.

The equations $y=x-2$ and $y=-2 x+7$ are plotted on the graph.

The intersection of these two equations are the solutions of the system of equations.

Thus, the intersection of the two equations are $x=3$ and $y=1$

Now, we shall solve the equation algebraically.

Let us solve the equation using substitution method.

Let us substitute $y=x-2$ in $y=-2 x+7$ , we get,

$x-2=-2x+7$

Adding both sides by 2x, we have,

$3x-2=7$

Adding both sides by 2, we get,

$3x=9$

Dividing both sides by 3,

$x=3$

Thus, the value of x is 3.

Substituting $x=3$ in $y=x-2$ , we get,

$y=3-2\\y=1$

Thus, the value of y is 1.

Hence, The solution of the equation is $x=3$ and $y=1$

4 0

3 years ago

Just need the equation

Anna007 [38]

$a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}$

Each of the equations can be solved as shown below:

a. $3x + 7 = - x - 1$

$3x + 7 + x = - x - 1 + x$ (addition property of equality)

$4x + 7 = - 1\\4x + 7 - 7 = -1-7$ (Subtraction property of equality)

$4x = -8\\\frac{4x}{4} = \frac{-8}{4}$ (Division property of equality)

$x = -2$

b. $1 - 2x + 5 = 4x - 3\\$

Add like terms

$6 - 2x = 4x - 3\\\\6 - 2x - 6 = 4x - 3 - 6$ (Subtraction property of equality)

$- 2x = 4x - 9\\-2x - 4x = 4x -9 - 4x$ (Subtraction property of equality)

$-6x = -9 \\\frac{-6x}{-6} = \frac{-9}{-6}$ (Division property of equality)

$x = \frac{3}{2}$

c. $4x - 2 + x =-2 + 2x\\$

$5x - 2 = -2 + 2x\\5x - 2x = -2 + 2\\3x = 0\\ x = \frac{0}{3} \\x = 0$

d. $3x - 4 + 1 = - 2x -5 + 5x\\$

$3x - 3 = - 7x -5\\3x + 7x = 3 - 5\\10x = -2\\x = \frac{-2}{10} \\x = -\frac{1}{5}$

The value of x in each equation are:

$a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}$

Learn more here:

brainly.com/question/1527981

5 0

3 years ago

Which angles are coterminal with an angle drawn in standard position measuring 282°?

vampirchik [111]

Answer:

−438°, -78°, 642°

Step-by-step explanation:

Given angle:

282°

To find the co-terminal angles of the given angle.

Solution:

Co-terminal angles are all those angles having same initial sides as well as terminal sides.

To find the positive co-terminal of an angle between 360°-720° we will add the angle to 360°

So, we have: $282\°+360\°=642\°$

To find the negative co-terminal of an angle between 0° to -360° we add it to -360°

So, we have: $282\°-360\°=-78\°$

To find the negative co-terminal of an angle between -360° to -720° we add it to -720°

So, we have: $282\°-720\°=-438\°$

Thus, the co-terminal angles for 282° are:

−438°, -78°, 642°

7 0

3 years ago