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Tems11 [23]
3 years ago
8

Simplify completely the quantity 4 times x to the third power plus 5 times x to the 2nd power plus 3 times x all over x. (2 poin

ts)
Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0

We start with

\dfrac{4x^3+5x^2+3x}{x}

We can factor x at the numerator:

\dfrac{x(4x^2+5x+3)}{x}

So, assuming x\neq 0 (otherwise the expression would make no sense) we can simplify it:

\dfrac{x(4x^2+5x+3)}{x} = 4x^2+5x+3

This equation has no roots, so we can't simplify it any further.

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The measure of one acute angle in this right triangle is 30°. What is the measure of the
Viktor [21]

Answer:

60°

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8 0
3 years ago
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The upper-left coordinates on a rectangle are (-5, 6)(−5,6)left parenthesis, minus, 5, comma, 6, right parenthesis, and the uppe
sammy [17]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The upper-left coordinates on a rectangle are (−5,6) and the upper-right coordinates are (−2,6). The rectangle has a perimeter of 16units. Draw the rectangle on the coordinate plane below.

If the coordinates of the top of the triangle (breadth) is  (−5,6) and  (−2,6), we can calculate the breadth of the rectangle by taking the difference between the two points using the formula:

D = √(y₂-y₁)²+(x₂-x₁)²

Given x₁ = -5, y₁= 6, x₂ = -2 and y₂ = 6

D = √(6-6)²+(-2-(-5))²

D = √0²+3²

D = √9

D = 3 units

Breadth = 3 units

Given the Perimeter to be 16 units and the formula for calculating the perimeter of rectangle t be P = 2(L+B), we can get the length of the rectangle.

16 = 2(3+L)

16 = 6+2L

16-6 = 2L

2L = 10

L = 10/2

L = 5 units.

<em>Hence the length of the rectangle is 5 units and the breadth is 3 units. Find the diagram in the attachment.</em>

7 0
3 years ago
La banqueta que rodea un jardín rectangular es de 4 metros de ancho. El jardín tiene
mylen [45]

Answer:

jbhbchbhvbbhcbrhfbcbhshshbhsvhbhv;b;rvbhbhcrbihcbhc

Step-by-step explanation:

3 0
3 years ago
Answer both please, the topic is linear inequalities, and please explain it to me.
Bogdan [553]
<u>Question 1 solution:</u>
You have two unknowns here:

Let the Water current speed = W

Let Rita's average speed = R

We are given <em>two </em>situations, where we can form <em>two equations</em>, and therefore solve for the <em>two unknowns, W, R</em>:

Part 1)  W→ , R←(against current, upstream) 
If Rita is paddling at 2mi/hr against the current, this means that the current is trying to slow her down. If you look at the direction of the water, it is "opposing" Rita, it is "opposite", therefore, our equation must have a negative sign for water<span>:  

</span>R–W=2  - equation 1

Part 2)  W→ , R<span>→</span>(with current)
Therefore, R+W=3  - equation 2

From equation 1, W=R-2, 
Substitute into equation 2.
R+(R–2)=3
2R=5
R=5/2mi/hr

So when W=0 (still), R=5/2mi/hr

Finding the water speed using the same rearranging and substituting process:

1...               R=2+W
2...  (2+W)+W=3
                 2W=1
                   W=1/2mi/hr
 
7 0
3 years ago
PIC BELOW SOMEONE PLZ HELP....
Citrus2011 [14]

Answer:

C: A line travelling to the right with an open dot on p = -3.

Step-by-step explanation:

You use a closed dot when the equation is greater/less than or equal to: \geq \leq

It goes right because if it went left it would be p < -3.

6 0
3 years ago
Read 2 more answers
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