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3 years ago

Divide using SYNTHETIC DIVISION. Show work! (-6x^4 + 53x^3 - 41x^2+ 6x + 16) + (x – 8)

Mathematics

1 answer:

Alex787 [66]3 years ago

6 0

(-6x^4 + 53x^3 - 41x^2+ 6x + 16) + (x – 8) = $6x^{4} + 53x ^3 - 41x^2 +7x +8$

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Which pair of terms can be used to represent any two consecutive odd numbers?

Vsevolod [243]

Any two consecutive odd numbers:
101 and 103

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3 years ago

Hana buys a new dress for $40. how much does she pay if there is a 7% tax

Rzqust [24]

Answer:

$42.80

Step-by-step explanation:

We can set up an equation to solve this as such

$40*1.07=42.80$

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3 years ago

Answer this and I’ll mark you the Brainlest

Elena-2011 [213]

Answer:

D. 88

Step-by-step explanation:

if you add the given numbers up (equals 100) them subtract it from 540(the degrees of a Pentagon) you get 440. then divide that by 5 (number of xs left) you get 88. You can plug in 88 for x and check but I already did, I hope this helps you lemme know if it does :)

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3 years ago

Read 2 more answers

Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

3 years ago

Rafael races his bicycle for

pychu [463]

Distance traveled = 70 m
Number of rotations = 29

We know, Circumference * Number of rotations = Distance traveled
So, C = 70 / 29
C = 2.41 m

Now, we know, diameter = C / π
So, d = 2.41/3.14 = 0.768

In short, Your Answer would be: 0.8 m

Hope this helps!

6 0

3 years ago

Read 2 more answers

Divide using SYNTHETIC DIVISION. Show work! (-6x^4 + 53x^3 - 41x^2+ 6x + 16) + (x – 8) ​

Divide using SYNTHETIC DIVISION. Show work! (-6x^4 + 53x^3 - 41x^2+ 6x + 16) + (x – 8)