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3 years ago

Simplified expression of 7z + 8 + 5z – 5z – 9?

Mathematics

1 answer:

Likurg_2 [28]3 years ago

6 0

Answer:

7z-1 hope this helps

Step-by-step explanation:

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What is 4 raised to the power of 2 ÷ 2 raised to the power of 3

Troyanec [42]

Answer:

4³

Step-by-step explanation:

8 0

4 years ago

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Natalie paid $14.99 to join an online music service. If she purchases 9 songs each month at a cost of $0.99 per song, what will

ycow [4]

Answer:

Natalie Spent $59.54 on songs after 5 months at online music service.

Step-by-step explanation:

Total membership cost =$14.99

Number of songs purchased in each month = 9

Cost per song = $0.99

We need to find total amount she had spent after 5 months.

Solution:-

So First we will Number of songs purchased in 5 months.

1 month = 9 songs

So in 5 months = Songs purchased in 5 months.

By Using Unitary method we get;

Songs purchased in 5 months =

Now Also Given:

1 song = $0.99

45 songs = Cost for 45 songs.

Again by using Unitary method we get;

Cost for 45 songs =

No Total Amount Natalie spent after 5 months is equal to Total membership cost plus Cost of songs purchased in 5 months.

framing in equation form we get;

Total Amount Natalie spent =

Hence Natalie Spent $59.54 on songs after 5 months at online music service.

5 0

3 years ago

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NO LINKS!!! Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)

levacccp [35]

General equation of parabola

y=a(x-h)²+k

for vertex(h,k)

Now

$\\ \rm\Rrightarrow y=a(x+2)^2+6$

Put (1,-3) and find a

$\\ \rm\Rrightarrow -3=a(1+2)^2+6$

$\\ \rm\Rrightarrow -9=a(3)^2$

$\\ \rm\Rrightarrow -9=9a$

$\\ \rm\Rrightarrow a=-1$

equation of parabola

$\\ \rm\Rrightarrow y=-(x+2)^2+6$

7 0

2 years ago

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Is the following statement correct? Explain.

Maksim231197 [3]

Answer: The answer is NO.

Step-by-step explanation: The given statement is -

If the graph of two equations are coincident lines, then that system of equations will have no solution.

We are to check whether the above statement is correct or not.

Any two equations having graphs as coincident lines are of the form -

$ax+by=c,\\\\dax+dby=dc,\\\\\textup{where}~~d\neq 1.$

If we take d = 1, then both the equations will be same.

Now, subtracting the second equation from first, we have

$a(1-d)x+b(1-d)y=c(1-d)\\\\\Rightarrow ax+by=c,~\textup{since}~d\neq 1,~\textup{so}~1-d\neq 0.$

Again, we will get the first equation, which is linear in two unknown variables. So, the system will have infinite number of solutions, which consists of the points lying on the line.

For example, see the attached figure, the graphs of following two equations is drawn and they are coincident. Also, the result is again the same straight line which has infinite number of points on it. These points makes the solution for the following system.

$2x+5y=10,\\\\6x+15y=30.$