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3 years ago

Choose the correct classification of 5x + 3x2 − 7x3 + 2. (5 points)

Mathematics

2 answers:

vladimir1956 [14]3 years ago

5 0

3rd degree polynomial. since the highest *exponent* is 3.

SVEN [57.7K]3 years ago

5 0

The degree of a polynomial is the highest degree of its terms with non-zero coefficients. The degree of a term is the sum of the exponents of the variables in the expression.

The given expression is :

$5x+3x^{2} -7x^{3} +2$

This can be be rearranged in descending order as:

$-7x^{3} +3x^{2} +5x+2$

Here the highest power of the variable of the terms is 3 which denotes the degree of the polynomial .

The given expression is Third degree polynomial.

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The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m

Keith_Richards [23]

Answer:

a) $\left(x,y\right)=\left(4.95,-4.95\right)$

b) $r\angle\theta = 7\angle0.5236\,\text{radians}$

Step-by-step explanation:

Polar coordinates are represented as: $r\angle\theta$ , where 'r' is the length (or magnitude) of the line, and ' $\theta$ ' is the angle measured from the positive x-axis.

in our case:

$7\angle\dfrac{3\pi}{4}$

to covert the polar to cartesian:

$x = r\cos{\theta}$

$y = r\sin{\theta}$

we can plug in our values:

$x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}$

$y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}$

the Cartesian coordinates are:

$\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)$

$\left(x,y\right)=\left(4.95,-4.95\right)$

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

$r^2 = x^2+y^2$

$r^2 = (6.06)^2+(-3.5)^2$

$r = \sqrt{48.97} \approx 7$

the angle can be found by:

$\tan{\theta} = \dfrac{y}{x}$

$\tan{\theta} = \dfrac{3.5}{6.06}$

$\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}$

$\theta = 0.5236 \text{radians}$

to convert radians to degrees:

$\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ$

writing in polar coordinates:

$r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}$

5 0

3 years ago

For f(x) = 0.01(2)^x, find the average rate of change from x = 3 to x = 8.

asambeis [7]

8 - 3 = 5
D.5

to find the average you need to multiply depending on the sittuation

5 0

2 years ago

Sam was given a bag of 100 red and blue marbles. He believes

Rashid [163]

Answer:

(D) There are probably more blue marbles than red marbles in the bag.

Step-by-step explanation:

There are a total of 100 marbles in the bag.

In the experiment of 50 trials, Sam had the following outcome:

Blue=35

Red=15

Relative Frequency of Blue Marbles =35/50=0.7

Relative Frequency of Red Marbles =15/50=0.3

Since the relative frequency of blue marbles is greater than the relative frequency of red marbles, <u>there are probably more blue marbles than red marbles in the bag.</u>

The correct option is D.

6 0

3 years ago

Ian multiplied a number by 5 he then multiplied that product by 2 what digit is in the ones place of the final product

Lady_Fox [76]

IF the original number was an integer, then the digit in the ones place of the final product is a zero ( 0 ). If it wasn't an integer, then any digit can be in the ones place.

7 0

2 years ago

Read 2 more answers

If the parallelogram is reflected across the x-axis, what are the coordinates of point B after the reflection? Please hurryyyy‼️

Wittaler [7]

Answer:

(5,-1)

Step-by-step explanation:

when reflecting over the x-axis:

(x,y) → (x,−y)

get coordinates of D: (5,1)

get coordinates of D': (5,-1)

hope this helped!

4 0

2 years ago