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2 years ago

To write the polynomial 5x^4+8x^5-2x+3 in standard form, which term is the leading term?

Mathematics

2 answers:

Nana76 [90]2 years ago

8 0

The answer is B. The leading coefficient is always the variable with the highest degree. In this case, it's 5.

EleoNora [17]2 years ago

3 0

Answer:

Step-by-step explanation:

A polynomial is in standard form when it is expressed with the highest degree first and then continues in order with terms from higher to lower degree and finally ends with the constant term.

The leading term is the first expression or monomial of the polinomial in standard form. In this case we have.

5x^4+8x^5-2x+3

Ordering from highest to lowest:

8x^5+5x^4-2x+3 .

So the leading term is 8x^5 or the quintic term, the one elevated to the fifth power.

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Pls answer show work, At a store, notebooks are on sale for 78% off the regular price. The cost of a notebook is represented by

Assoli18 [71]

Answer:

Step-by-step explanation:

<h3> dont subtract the cost of the notebook by 0.78 while multiping it with the cost.</h3>

5 0

3 years ago

A skier needs to buy new ski poles during a ski trip to utah . The price of the poles is $24 and the sales tax is 4.7%. What is

leva [86]

$total\ cost=\ price\ of\ poles+sales\ tax\\\\
total\ cost=24+4.7\%*24=24+0.047*24=24+1,128\\\\=25.128\approx25.13\$\\\\
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6 0

3 years ago

1.Solve the equation. Check for extraneous solutions.

elena55 [62]

Okay so I did the math.

1. Two solutions were found :
z=-1
z=2/3
Step 1 :Rearrange this Absolute Value Equation

Absolute value equalitiy entered
|2z-3| = 4z-1

Step 2 :Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2z-3|

For the Negative case we'll use -(2z-3)

For the Positive case we'll use (2z-3)

Step 3 :Solve the Negative Case

      -(2z-3) = 4z-1

     Multiply
      -2z+3 = 4z-1

     Rearrange and Add up
      -6z = -4

     Divide both sides by 6
      -z = -(2/3)

     Multiply both sides by (-1)
      z = (2/3)
     Which is the solution for the Negative Case

Step 4 :Solve the Positive Case

      (2z-3) = 4z-1

     Rearrange and Add up
      -2z = 2

     Divide both sides by 2
      -z = 1

     Multiply both sides by (-1)
      z = -1
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

z=2/3
 z=-1

2. -6 < x < 26/3

Step 1 :Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
|3x-4|+5 < 27

Another term is moved / added to the right hand side.

|3x-4| < 22

Step 2 :Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x-4|

For the Negative case we'll use -(3x-4)

For the Positive case we'll use (3x-4)

Step 3 :Solve the Negative Case

-(3x-4) < 22

 Multiply
 -3x+4 < 22

 Rearrange and Add up
 -3x < 18

 Divide both sides by 3
 -x < 6

 Multiply both sides by (-1)
 Remember to flip the inequality sign
 x > -6
 Which is the solution for the Negative Case

Step 4 :Solve the Positive Case

(3x-4) < 22

 Rearrange and Add up
 3x < 26

 Divide both sides by 3
 x < (26/3)

 Which is the solution for the Positive Case

Step 5 :Wrap up the solution

-6 < x < 26/3

Solution in Interval Notation

(-6,26/3)

HOPE THIS HELPS :D

7 0

3 years ago

Pls answer i'll mark u brainlist

In-s [12.5K]

Answer: 2/3 hours

Step-by-step explanation:

okay so the speed now is 850, which is 850/340 = 2.5 times the original speed

Since It's 2.5 times the original speed,

2.5x = 5/3

so x = 5/3/2.5 = 2/3

7 0

2 years ago

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Find the distance from Q: (5.7 , 2.6) to R: (-3, 5.9)

Firdavs [7]

It would be around 9.304. so you'd round to the nearest tenth 9.3

6 0

3 years ago

Read 2 more answers