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Leto [7]
1 year ago
11

Write each polynomial in standard form. Then give the leading coefficient. You may need to combine like terms before writing the

polynomial in standard form.
10-3x²+x^5 + 4x³

Mathematics
1 answer:
Bond [772]1 year ago
6 0

Step-by-step explanation:

To write a polynomial in standard form, put the degree that are the greatest first

So here it would be

{x}^{5}   + 4 {x}^{3}  - 3 {x}^{2}  + 10

Remember constant are numbers that you learned back in elementary,

Numbers like 10,90,4,1,0,-3 etc.

Remember that constant are basically represented like this

k \times  {x}^{0}

For example, 10 is represented like

10 \times  {x}^{0}

Since 0 is the smallest degree possible, for a polynomial, constants are the last term of a polynomial in standard form

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NEED HELP FAST PLEASE
natita [175]
Hey!


To solve this equation, we'd first have to apply the distributing rule to this equation.

<em>Original Equation :</em>
( 3a - 2 )^{2}

<em>New Equation {Changed by Applying the Distribution Rule} :</em>
( 3a )^{2} - 2 · 3a · 2 + 2 ^{2}

And now we simplify.

<em>Old Equation :</em>
( 3a ) ^{2}  -2 · 3a · 2 + 2 ^{2}

<em>New Equation {Old Equation Simplified} :</em>
9a ^{2} - 12a + 4

<em>So, the equation (3a - 2) ^{2} simplified is</em>  9a ^{2} - 12a + 4.

Hope this helps!


- Lindsey Frazier ♥
5 0
2 years ago
Solve for x 5 – 57− 2 = 63 please help
umka2103 [35]
5x - 2x = 63 + 57
3x = 120
x = 40
4 0
3 years ago
Simplify the following expression.<br><br> 9 1/2 r 5/2 t<br> __________<br> rt 1/2
rosijanka [135]

Answer:

12r/t

Step-by-step explanation:

4 0
3 years ago
What line is parallel to 2x+5y=6 that goes through (5,3)
Anna11 [10]

Answer:

4y = x - 17

Step-by-step explanation:

First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = \frac{-2x}{5} + \frac{6}{5}  which make the gradient, m, the coefficient of x = \frac{-2}{5}  . Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)

Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where   y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)

y - 3 = \frac{1}{4}(x - 5); y - 3 = \frac{x}{4} - \frac{5}{4};  y = \frac{x}{4} - \frac{5}{4} +3

y = \frac{x}{4} - \frac{17}{4};  y = \frac{x-17}{4}  ;   4y = x - 17

7 0
2 years ago
A van and a bicycle move towards each other. The speed of the van is 80 km per hour, and the speed of the bike is 20 km per hour
otez555 [7]

:

.

-- :

Bike > ________300km_________< Van

20km/h 80km/h

In one hour, the bike will have moved 20km and the van would have moved 80km.

The distance between them was 300km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

300km-(20km+80km) = 200km

So now the distance between them is 200km.

Now another hour passes. The distance between them was 200km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

200km-(20km+80km) = 100km

So now the distance between them is 100km

Now another hour passes. The distance between them was 100km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

100km-(20km+80km) = 0km

So now the distance between them is 0km, which means they have met. If we count, it took them 3 hours.

:

Step 1)

Add both speeds. 20km+80km=100km

Step 2)

Total distance between them = 300km

So do 300km/100km = 3hours.

______

The solution is: .

————

Hope this helped!

4 0
2 years ago
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