3 years ago

Factor each expression. Problem: g^2 - 9 Answer: (g + 3) (g - 3)

1 answer:

8 0

$g^2-9$
The 9 here could be rewritten as 3^2,

$g^2-3^2$
Factor the difference in these two squares, you get
$(g-3)(g+3)$

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How much of a spice that is 30% salt should be added to 175 ounces of a spice that is 65% salt in order to make a spice that is

klasskru [66]

$\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{30\% spice}&x&0.30&0.30x\\
\textit{65\% spice}&175&0.65&(175)(0.65)\\
-----&-----&-------&-------\\
mixture&x+175&0.50&(x+175)(0.50)
\end{array}$

so.. as you can see, we use the decimal notation for the percentages... 65% is just 65/100 and 50% is just 50/100 and so on

so.. whatever the salted amounts are, we know they'll add up to (x+175)(0.50)

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3 years ago

what is the 18th term in an arithmetic sequence with the first term equal to 6 and the constant difference equalto 17?

Vinil7 [7]

Answer: The 18th term is 295.

Step-by-step explanation: By using the arithmetic sequence formula:

a(n): nth term

a(1): first term

n: term position

d: common/constant difference

a(n) = a(1) + (n - 1)d

You should get an equation of a(n) = 6+(18 - 1)17. By following the order of operations, you should receive an 18th term of 295.

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2 years ago