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3 years ago

Which is the graph y = (x + 2) squared minus 3 ?

Mathematics

1 answer:

algol133 years ago

3 0

Answer:

I believe it's B

Step-by-step explanation:

On a coordinate plane, a parabola opens up and goes through (negative 3.75, 0), has a vertex at (negative 2, negative 3), and goes through (0, 1).

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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

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1 year ago

Anni [7]

i think the question is not correct write it again or attach the pic ic

6 0

3 years ago

Solve this proportion 9/v = 3/2 a. {6} b. {7.3} c. {4.4} d. {1.3} What percent of 151 is 119.5? a. 129.8% b. 126.4% c. 79.1% d.

Roman55 [17]

V = ( 9*2 ) / 3 ;
v = 18 / 3 ;
v = 6 ;
a. is the right answer;

( 119.5 / 151 ) * 100 = 11950 / 151 = 79.1 ;

The percent is 79.1%;

c. is the right answer;

1 - (40/100)*1 = 1 - 2 / 5 = 3 / 5 = 0.60 ;
d. is the right answer.

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action bar. John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans

Artemon [7]

$132.55-($15*12)=$132.55-$180=$-47.45
So then he would have owed 47.45 dollars!

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