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3 years ago

Please help! Thanks!

Mathematics

2 answers:

nignag [31]3 years ago

7 0

The answer to your question is C.

Over [174]3 years ago

3 0

It's c u do distribute the -4 to everything in the ( )'s then combine the like terms

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Question 1 (1 point)

olga55 [171]

Answer:

1) $2y^{2}+4y-9$

2) $18x^{5}y^{4}z$

3) $6x^{5}-12x^{4}+9x^{3}$

4) 40

5) $x^{3}-7x^{2}+3x+36$

Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

$(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9$

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

$(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z$

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

$-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}$

4) $(4a+5)^{2}$ is a square of a sum, then, by definition you have:

$(a+b)^{2}=a^{2}+2ab+b^{2}$

Then:

$(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25$

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40

5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

$(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36$

6 0

3 years ago

Which is the completely factored form of the following equation?<br><br> 4a4b2−21a2b+5=0

r-ruslan [8.4K]

The completely factored equation is (a²b - 5)(4a²b - 1)

<h3>How to factor equation?</h3>

4a⁴b² - 21a²b + 5 = 0

let's expand the equation

Therefore,

4a⁴b² - 21a²b + 5 = 0

4a⁴b² - 20a²b - a²b + 5 = 0

Rearrange the equation

4a⁴b² - a²b - 20a²b + 5 = 0

Let's factorise the equation

4a⁴b² - a²b - 20a²b + 5 = 0

a²b(4a²b - 1) - 5(4a²b - 1) = 0

Therefore, the completely factored equation is as follows:

a²b(4a²b - 1) - 5(4a²b - 1) = 0

(a²b - 5)(4a²b - 1)

learn more on equation here: brainly.com/question/8842252

#SPJ1

4 0

2 years ago

What is the square root of 36?

Ket [755]

6 is the answer noob

5 0

3 years ago

Read 2 more answers

It is estimated that light takes 110,000 years to travel the full distance across our galaxy

stepladder [879]

$\bf \stackrel{light~speed}{3.0\times 10^8}ms^{-1}\implies \stackrel{light~speed}{3.0\times 10^8}~\frac{m}{s}\implies 300,000,000~\frac{m}{s}\\\\
-------------------------------\\\\
\textit{how many seconds in a minute?}\qquad 60
\\\\\\
\textit{how many seconds in }\stackrel{1~hr}{60~minutes?}\qquad 60\cdot 60
\\\\\\
\textit{how many seconds in }\stackrel{1~day}{24~hrs}?\qquad 60\cdot 60\cdot 24
\\\\\\
\textit{how many seconds in }\stackrel{1~year}{365~days}?\qquad 60\cdot 60\cdot 24\cdot 365$

now, it takes 1 second for light to travel 300,000,000 meters.

if we know it takes light 1 second to go 300 million meters, then in 365 days or a year, or 60*60*24*365 seconds, it will then travels

300,000,000 * 60 * 60 * 24 * 365 meters in 1 year,

how about in 110,000 years, how many meters has it travelled?

300,000,000 * 60 * 60 * 24 * 365 * 110,000 that many meters.

we know she travels the Milky Way in 110,000 years or 60 * 60 * 24 * 365 * 110,000 seconds

and we know that 110,000 years is 3468960000000 seconds, so

if it travels 300000000 meters in only 1 second, in 3468960000000 seconds, it will travel then (300000000) * (3468960000000) meters

or 1040688000000000000000 meters.

4 0

3 years ago

Write an expression for the following a. One more than twice a number b. A number decreased by 6 c. Two-thirds of a number

sergiy2304 [10]

a= 1+2b, b=1-6, c=2/3d. Hope this helps, I used D as a number in C you don't have to use d.

8 0

3 years ago