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Margaret [11]
3 years ago
13

Kelsey went bowling. It cost her a one-time fee of $3.50 to rent shoes, and $6.50 per game she played. She does not want to spen

d more than $23.00. Write an inequality that could be used to determine how many games she can afford to play. Use "g" for the number of games. NO
SPACES.
Mathematics
1 answer:
Alla [95]3 years ago
6 0

$6.50g+$3.50=$23.00                  

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Factor completely: 2x4 − 32.
vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

Step-by-step explanation:

Given expression is 2x^4-32

To find the completed factor for the given expression:

2x^4-32:

Taking the common number "2" outside  to the above expression we get

2x^4-32=2(x^4-16)

Now rewritting the above  expression as below

=2(x^4-2^4)  (since 16 can be written as the number 2 to the power of 4)

=2((x^2)^2-(2^2)^2)

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x^2 and  b=2^2

Therefore it becomes

=2(x^2+2^2)(x^2-2^2)

=2(x^2+4)(x^2-2^2)  

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x and  b=2

Therefore it becomes

=2(x^2+4)(x+2)(x-2)  

=2(x+2)(x-2)(x^2+4)  

Therefore =2(x+2)(x-2)(x^2+4)  

2x^4-32=2(x-2)(x+2)(x^2+4)  

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

3 0
3 years ago
Read 2 more answers
A.) Write an exponential expression: choose a prime number between 2 and 10 to be the base, and an even between 0 and 10, to be
Slav-nsk [51]

Answer:

e_3^{4} will be the exponential expression.

Step-by-step explanation:

We have to choose a number between 0 ad 10 and has to be odd to be base say 3

And even number between 0 ad 10 to be exponent  say 4.

So the exponential expression will be : e_3^{4}

According to the information given above expression is the required expression.

4 0
3 years ago
Read 2 more answers
ANYONE KNOW THE ANSWER TO THIS??
mojhsa [17]

Answer:

x = 14 is your answer

Step-by-step explanation:

76 = 7x-22, so to figure it out, you first move -22 to the other side and get

76+22 = 7x.

add them together and you get 98 = 7x

7x would be your equation, so divide 98 by 7 and you get your solution

x = 14 is your answer

3 0
3 years ago
Read 2 more answers
Clara looked at the clock on her way to band practice.
Daniel [21]

Answer:

3:45 pm

Step-by-step explanation:

4 0
3 years ago
Suppose f varies directly as g, and f varies inversely as h. Find g when f = 12 and h = 10, if g = 198 when h = –11 and f = –6.
sattari [20]

Answer:

360

Step-by-step explanation:

f varies directly as g

f = kg  where k is the constant of variation

f varies inversely as h

f = kg/h

We know g = 198 when  h = –11 and f = –6.  Substituting in

-6 = k*198/(-11)

-6 =k*(-18)

Dividing each side by -18

-6/-18 = k*-18/-18

1/3 =k

Our equation is

f = 1/3 g/h

Letting  f = 12 and h = 10

12 = 1/3 g/10

Multiply each side by 10

12*10 =1/3 g/10*10

120 = 1/3 g

Multiply each side by 3

120*3 =1/3 g *3

360 =g

5 0
3 years ago
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