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Mathematics

2 answers:

denpristay [2]2 years ago

4 0

Answer:

Step-by-step explanation:

Sergio [31]2 years ago

3 0

Answer: i think its c

Step-by-step explanation:

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PLEASE HELP THIS IS A MAJOR GRADE FOR ME!!!! 31 Triangle RST is translated 6 units to the left and 4 units up to create triangle

Sladkaya [172]

D is the answer- x-6, y+4

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2 years ago

(z + 3)2<br> Draw me an area that shows the expression

mario62 [17]

Answer: 2z + 6

Step-by-step explanation: Distribute the 2 to z and 3.

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3 years ago

What's the prime factorization of 78

Masja [62]

Answer:

2,3 &13

Step-by-step explanation:

78=2times39=3times13

therefore the prime factors of 78=2,3,13

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2 years ago

If f(x)=2−x12 and g(x)=x2−9, what is the domain of g(x)÷f(x)?

Keith_Richards [23]

$\bf \begin{cases}
f(x)=2-x^{12}\\
g(x)=x^2-9\\
g(x)\div f(x)=\frac{g(x)}{f(x)}
\end{cases}\implies \cfrac{x^2-9}{2-x^{12}}$

now, for a rational expression, the domain, or "values that x can safely take", applies to the denominator NOT becoming 0, because if the denominator is 0, then the rational turns to undefined.

now, what value of "x" makes this denominator turn to 0, let's check by setting it to 0 then.

$\bf 2-x^{12}=0\implies 2=x^{12}\implies \pm\sqrt[12]{2}=x\\\\
-------------------------------\\\\
\cfrac{x^2-9}{2-x^{12}}\qquad \boxed{x=\pm \sqrt[12]{2}}\qquad \cfrac{x^2-9}{2-(\pm\sqrt[12]{2})^{12}}\implies \cfrac{x^2-9}{2-\boxed{2}}\implies \stackrel{und efined}{\cfrac{x^2-9}{0}}$

so, the domain is all real numbers EXCEPT that one.

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2 years ago

Find the value of y when x = 10, if y = 35 when x = 7.

olga55 [171]

Set up a proportion:

y = 35 when x = 7

y = ? when x = 10

To get x from 7 to 10, you have to multiply by $\frac{10}{7}$ . Therefore, you do the same to 35, and you get: