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2 years ago

1.3 lesson help please

Mathematics

2 answers:

postnew [5]2 years ago

8 0

Answer:40

Explanation:easy

Airida [17]2 years ago

7 0

Answer:

1. 125

2. 25

3. 40

4. 39

First question:

(15-10)^2 + (15-5)^2

parentheses first to get 5^2 + (15-5)^2

exponents next to get 25 + (15-5)^2

parentheses again 25 + 10^2

exponents again 25 + 100 = 125

Second question:

simplify the exponents (3 *3) + (4 * 4) + (2 * 2) to get 9 + 16 + 4 = 29

Third question:

simplify in the parentheses 6 1/7 - 1/7 = 6

divide 60 by 6 to get 10

multiply 10 by 4 to get 40!

Fourth question:

simplify the fractions to get 1/3 + 8/3 = 3

multiply the 3 by 13 to get 39

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Find an integer value of b that makes x^2 + bx - 81 factorable.

Kaylis [27]

Answer:

b = 80

Step-by-step explanation:

Given that,

x² + bx - 81

To find,

value of b

What is factorable?

A polynomial equation with highest degree 2 is if factorable when

we can find two terms which when multiples = -81x², <em> ( x² * - 81 = -81x² ) </em>
and when add = bx

possible factors:

-1x * 81x = -81x² (Accepted)
1x * -81x= -81x² (rejected)
9x * -9x = -81x² (rejected)
-9x * 9x = -81x² (rejected)

Only when -1x , 81x is added -1x + 81x = 80x

so, bx = 80x

b = 80

<h3>The equation is x² + 80x - 81</h3>

5 0

2 years ago

Are these a rational function?

Thepotemich [5.8K]

158.:$?&duck icy blue

5 0

2 years ago

Please help me with my homework<br><br> <img src="https://tex.z-dn.net/?f=%5Cbf%7B%28x%2B9%29%5E5%7D" id="TexFormula1" title="\b

Brut [27]

Answer:

x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049

Step-by-step explanation:

Greetings !

Given expression

$(x + 9) {}^{5}$

write 5 as a sum

$(x + 9) {}^{3 + 2}$

$use \: a {}^{m + n} = a {}^{m} \times a {}^{n} to \: expand \: the \: expression.$

$(x + 9) {}^{3} \times (x + 9) {}^{2}$

Use (a+b)³=a³+3a²b+b³ to expand the expression

$(x {}^{3} + 27x {}^{2} + 243x + 729) \times (x + 9) {}^{2}$

Use (a+b)²=a²+2ab+b² to the second expression to expand it

$(x {}^{3} + 27x {}^{2} + 243x + 729) \times(x {}^{2} + 18x + 81)$

Finally, simplify the expression gives

$x {}^{5} + 45x {}^{4} + 810x {}^{3} + 7290x {}^{2} + 32805x + 59049$

Hope it helps!

3 0

2 years ago

Read 2 more answers

Which equation can pair with x-y=-2 to create a consistent and dependent system?

MrRissso [65]

See the explanation

<h2>Explanation:</h2>

A system that has one or infinitely many solutions is called <em>consistent. </em>If an equation in a system tells us no new information then the equations of the system are <em>dependent. </em>In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:

The given line is:

$x-y=-2$