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4 years ago

To express the polynomial 4a^3 + a^2 - 6a^5 + 2a^3 - 4a + 1 in standard form, which terms should be combined?

Mathematics

2 answers:

jeyben [28]4 years ago

7 0

Answer:

Step-by-step explanation:

-6a^5+6a^3+a^2-4a+1

Nookie1986 [14]4 years ago

6 0

Answer:

4a^3 and 2a^3

Step-by-step explanation:

you always start by combining like terms

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Find the number set which satisfies each of the problems. If 7 is subtracted from the absolute value of the sum of a number and

iris [78.8K]

Answer:

x=4 or x= - 16

Step-by-step explanation:

|x+6|

Now subtract 7 which equals to 3.

|x+6|-7=3

|x+6|=10

Now remove the mode by adding plus minus sign in the front of 10.

x+6=±10

x+6=10 or x+6=-10

x=4 or x=-16

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4 years ago

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Girardo is using the model below to solve the equation 3x+1=4x+(-4)

svp [43]

Answer:

Step-by-step explanation:

$3x+1=4x+(-4)\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\3x-4x+1=4x-4x-4\\\\-x+1=-4\qquad\text{subtract 1 from both sides}\\\\-x+1-1=-4-1\\\\-x=-5\qquad\text{change the signs}\\\\x=5$

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3 years ago

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Al, Tom and Joe share €3000.

agasfer [191]

Answer:

Tom's share = €800

Step-by-step explanation:

Given that:

Amount shared by Al, Tom and Joe = €3000

Ratio of Al's share to Tom's share = 5 : 4

Joe's share = 1.5(Tom's share) = 1.5(4) = 6

Therefore,

Ratio of Al, Tom and Joe = 5 : 4 : 6

Let,

x be the number of times of amount each get.

5x + 4x + 6x = 3000

15x = 3000

Dividing both sides by 15

$\frac{15x}{15}=\frac{3000}{15}\\x=200$

Tom's share = 4x = 4(200) = €800

Hence,

Tom's share = €800

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3 years ago

The general form of the equation of a circle is x2+y2−4x−8y−5=0.

ludmilkaskok [199]

The general equation of a circle is $(x-a)^{2} + ( y-b)^{2} = r^{2}$ where a and b are the x and y components of the center respectively.

In order to get into this format, we have to use a method that I'm drawing a blank on the same, my apologies about that.

Anyway, what you want is to first isolate the variable on side so now you have: $x^{2} - 4x + y^{2} - 8y = 5$ (you'll see why I rearranged this soon)

Now you have to make it into an equation that can be simplified into the format stated earlier.

So, You have to take the x & y terms (-4x & -8y in this case) divide them each by two, and then square them.

The result of this step is the equation: $x^{2} -4x + 4 + y^{2} - 8y + 16 = 5 + 4 + 16$
Notice the new components that have been added (4 & 16) and how the have been added to both sides. That is an important step.

Now we simplify and get: $(x-2)^{2} + (y-4)^{2} = 25$

So the coordinate of the center is: (2,4) and the radius is 5

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3 years ago

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.

KatRina [158]

5:8 i sthe answer to your question...

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3 years ago