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2 years ago

Use synthetic division to divide 2x^4 – 3x^3 + 2x2 – 8x – 1 by x – 1.

Mathematics

1 answer:

In-s [12.5K]2 years ago

7 0

1. controle if no numbers are missing and the numbers are in the right order

2. the formula is x-a so a=1

3. write everything out in the scheme

4. let the first number drop down

5. multiply the answers by a

6. add the number that are under each other

7. repeat 5 and 6 until to you're done

8. write down the equation

9. last number in the scheme is your residue, which means that you write it at the end, outside of the ()

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Given that f(x) = x2 − 3x + 3 and g(x) = the quantity of x minus one, over four, solve for f(g(x)) when x = 5.

Katena32 [7]

g(x) = the quantity of x minus one, over four

g(x) = (x-1)/4

g(5) = (5-1)/4

g(5) = 4/4

g(5) = 1

f(x) = x2 − 3x + 3

f(g(5)) =1^2 − 3(1) + 3

f(g(5)) = 1 - 3 + 3

f(g(5)) = 1

7 0

4 years ago

I don’t know how to do this ! Help?

dybincka [34]

Answer:

The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.

These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.

Step-by-step explanation:

The SAS Congruence Theorem says that if two triangles have 2 equal sides and the angle between these sides are also equal, the triangles are congruent.

In this question, we know that the sides UV and VW are congruent, as V is the midpoint of UW. We also know that TV = VX, so now we have two equal sides for each triangle.

The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.

These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.

Now we can conclude that the triangles are congruent.

7 0

3 years ago

Whole numbers are _____ integers.

MrRa [10]

Whole numbers are always integers. If the integer is negative, that makes it a negative integer. If it's positive, it's a positive integer.

6 0

3 years ago

Turn this into a question

Georgia [21]

How would one control awareness in a "wired brain?"

or

How would awareness in a "wired brain" be controlled?

6 0

3 years ago

Pls help these are my teachers instructions

Yanka [14]

The mistake he did, was in calculating powers, when 12 is taken to numerator it becomes -12 and 6-12 is -6 and not 6 so power of x should be -6 i.e x^-6 and not x^6

So, the correct answer is $=\frac{27}{4x^{6}y^{8}}$

Step-by-step explanation:

We need to simplify:

$\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

Solving:

$\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

Multiplying power with the terms inside the bracket.

$=\frac{4(3^3x^6y^{12})}{2^4x^{12}y^{20}}\\=\frac{4(27x^6y^{12})}{16x^{12}y^{20}}\\=\frac{108x^6y^{12}}{16x^{12}y^{20}}$

Now combining powers of same variable i.e if $\frac{x^a}{x^b}=x^{a-b}$

Solving:

$=\frac{108x^{6-12}y^{12-20}}{16}\\=\frac{108x^{-6}y^{-8}}{16}\\Divide\,\,by\,\,4:\\=\frac{27x^{-6}y^{-8}}{4}$

The exponent rule says: if $x^{-1} \,\,then\,\, \frac{1}{x}$

$=\frac{27}{4x^{6}y^{8}}$

The mistake he did, was in calculating powers, when 12 is taken to numerator it becomes -12 and 6-12 is -6 and not 6 so power of x should be -6 i.e x^-6 and not x^6

So, the correct answer is $=\frac{27}{4x^{6}y^{8}}$

Keywords: Exponents

Learn more about Exponents at:

#learnwithBrainly

3 0

3 years ago