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Kisachek [45]
3 years ago
9

Four out of seven spectators at a different game are routing for North Star Academy. If there are 68 people rooting for North st

ar. How many people are watching the game
Mathematics
1 answer:
iragen [17]3 years ago
7 0

68 divided by 4 is 17 and 17 times 7 (the amount of people watching) is 119

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Find all real solutions and show work: <br> 2x^3-3x^2+18x-27=0
Amiraneli [1.4K]

Given:

The given equation is

2x^3-3x^2+18x-27=0

To find:

All the real solutions.

Solution:

We have,

2x^3-3x^2+18x-27=0

It can be written as

x^2(2x-3)+9(2x-3)=0

(2x-3)(x^2+9)=0

Using zero product property, we get

(2x-3)=0 and (x^2+9)=0

2x=3 and x^2=-9

x=\dfrac{3}{2} and x=\pm\sqrt{-9}

We know that x=\pm\sqrt{-9} is an imaginary number because there is a negative sign under the square root.

Therefore, x=\dfrac{3}{2} is the only real solution of the given equation.

5 0
3 years ago
ASAP!! I need help. -w-Which answer choice shows 5 +0.9 + 0.06 written in standard form?
miss Akunina [59]
The answer is c . 5.96
7 0
3 years ago
Read 2 more answers
Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a s
kkurt [141]

Answer:

7 books

Step-by-step explanation:

make an equation

x = # of books each book is $4 so its 4x

the shipping fee no matter how many books he buys will be $2 so it's just 2

the equation looks like this:

4x + 2 = 30

we set equal to 30 cuz he can't spend more than $30

solve for x

4x = 30 -2

4x = 28

x = 7

Brett can buy no more than 7 books.

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=f%20%3D%28x%29%20%3D%20%5Cfrac%7Bx%7D%7B4%7D%20" id="TexFormula1" title="f =(x) = \frac{x}{4}
Inga [223]

Answer:

g(x) = \frac{x+3}{x-3}

Step-by-step explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = \frac{2x}{(x-3)}

g(x) = \frac{2x}{(x-3)}-1

      = \frac{2x-(x-3)}{(x-3)}

      = \frac{(x+3)}{(x-3)}

Therefore, g(x) = \frac{x+3}{x-3} will be the answer.

5 0
2 years ago
Describe the relationship between the terms in each arithmetic sequence. Then write the next three terms in each sequence.
aliya0001 [1]

Answer:

Answer b)

Step-by-step explanation:

In the sequence 0, 5, 10, 15,...

5 is added to each term in order to get the next one. Therefore the next three terms would be; 20, 25, 30.

This agrees with answer b) in the list of possible answers.

3 0
2 years ago
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