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Lana71 [14]
3 years ago
5

The Paradise company offered hotel room for $180 per night plus airfare for $510. The Get company offered hotel room for $150 pe

r night plus airfare for $600. Set up and solve a system of equations to see which is better.
Mathematics
1 answer:
miskamm [114]3 years ago
3 0
Paradise: y=180x+510
Get: y=150x+600

180x+510=150x+600
-510 -510
180x=150x+90
-150x -150x
30x=90
30x/30=90/30
x=30

Paradise:5910
Get:5100

Get company is better.
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8) BRAINLIEST AND 15 POINTS! PLS HELP ASAP
algol13

Answer:

a.) Between 0.5 and 3 seconds.

Step-by-step explanation:

So I just went ahead and graphed this quadratic on Desmos so you could have an idea of what this looks like. A negative quadratic, and we're trying to find when the graph's y-values are greater than 26.

If you look at the graph, you can easily see that the quadratic crosses y = 26 at x-values 0.5 and 3. And, you can see that the quadratic's graph is actually above y = 26 between these two values, 0.5 and 3.

Because we know that the quadratic's graph models the projectile's motion, we can conclude that the projectile will also be above 26 feet between 0.5 and 3 seconds.

So, the answer is a.) between 0.5 and 3 seconds.

4 0
3 years ago
How many times larger is 8*10^6 than 2*10^2
bogdanovich [222]
The first step for solving this question is put both of your given expressions into one and then subtract them. This will look like the following:
8 × 10^{6} - 2 × 10²]
Now to make the calculation easier,, factor the expression.
(8 × 10^{4} - 2) × 10²
Evaluate the power inside the parenthesis.
(8 × 10000 - 2) × 10²
Evaluate the power outside the parenthesis.
(8 × 10000 - 2) × 100
Multiply the numbers inside the parenthesis.
(80000 - 2) × 100
Subtract the numbers in the parenthesis.
79998 × 100
Lastly,, multiply the numbers together to get your final answer.
7999800
This means that 8 × 10^{6} is 7999800 times larger than 2 × 10².
Let me know if you have any further questions.
:)
8 0
3 years ago
9(2m + 5n + 10) =
Galina-37 [17]

Answer:

B

Step-by-step explanation:

9 multiple 2m = 18m

9 multiple 5n = 45n

9 multiple 10= 90

5 0
3 years ago
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5. Find the general solution to y'''-y''+4y'-4y = 0
CaHeK987 [17]

For any equation,

a_ny^(n)+\dots+a_1y'+a_0y=0

assume solution of a form, e^{yt}

Which leads to,

(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0

Simplify to,

e^{yt}(y^3-y^2+4y-4)=0

Then find solutions,

\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}

For non repeated real root y, we have a form of,

y_1=c_1e^t

Following up,

For two non repeated complex roots y_2\neq y_3 where,

y_2=a+bi

and,

y_3=a-bi

the general solution has a form of,

y=e^{at}(c_2\cos(bt)+c_3\sin(bt))

Or in this case,

y=e^0(c_2\cos(2t)+c_3\sin(2t))

Now we just refine and get,

\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}

Hope this helps.

r3t40

5 0
3 years ago
There are 604 students and teachers going on a field trip. A school bus holds 78 people. How many buses are needed for the field
Tasya [4]

Answer: 8 buses

Step-by-step explanation:

You need 8 buses minimum

8 0
3 years ago
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