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mart [117]
3 years ago
11

The function

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0

Answer:

3 seconds.

Step-by-step explanation:

f(t) = height of the disc = -18t^2 + 42t + 36.

This equals zero when it completes its path, so:

-18t^2 + 42t + 36 = 0

-6(3t^2 - 7t - 6) = 0

-6 (3t + 2)(t - 3) = 0

t = 3 seconds  (We ignore the negative zero).


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What is the binomial expansion of (2x-3)^5
faltersainse [42]

Answer:

(2x - 3)⁵= 32x⁵ - 240x⁴ + 720x³ - 1080x² + 810x - 243

Step-by-step explanation:

We need to write the expansion of Binomial (2x - 3)⁵

Here general form of binomial expansion is:

(a + b)ⁿ = ⁿC₀aⁿ + ⁿC₁aⁿ⁻¹b + ⁿC₂aⁿ⁻²b² + ⁿC₃aⁿ⁻³b³ + ... + ⁿCₙbⁿ

(2x - 3)⁵= ⁵C₀(2x)⁵ + ⁵C₁(2x)⁵⁻¹(-3) + ⁵C₂(2x)⁵⁻²(-3)² + ⁵C₃(2x)⁵⁻³(-3)³  

                +⁵C₄(2x)⁵⁻⁴(-3)⁴ + ⁵C₅(2x)⁵⁻⁵(-3)⁵

(2x - 3)⁵= (32x⁵) + 5(16x⁴)(-3) + 10(8x³)(-3)² + 10(4x²)(- 3)³ + 5(2x)(-3)⁴+(-3)⁵

(2x - 3)⁵= 32x⁵ - 240x⁴ + 720x³ - 1080x² + 810x - 243                

That's the final answer.

5 0
3 years ago
Read 2 more answers
The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n + c. What does the graph tell
Pie

Answer: n is a positive odd number.

Step-by-step explanation:

Ok, we know that the function is something like:

f(x)=a(x+k)^1/n + c

In the graph we can see two thigns:

All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.

So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).

Also, we can see that the function increases, if n was a negative number, like: n = -N

we would have:

f(x) =  \frac{a}{(x+k)^{1/N}}  + c

So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.

Then n is a positive odd number.

4 0
4 years ago
Read 2 more answers
Monica can walk 3.8 kilometers in 40 minutes, and she can jog twice that distance in the same amount of time. How far could Moni
Elanso [62]
We know that
<span>Monica can walk 3.8 kilometers in 40 minutes
and
</span><span>she can jog twice that distance in the same amount of time
that means
in 40 minutes Monica can jog (3.8 km*2)-----> 7.6 km

1 hour=60 minutes
</span>by proportion<span>
7.6 km/40 minutes=x km/60 minutes
x=7.6*60/40----> x=11.4 km

the answer is
11.4 km</span>
5 0
3 years ago
#11
Lelechka [254]

Try this option:

the final price of the first machine after discount is:

(1-0.3)*495=346.5$;

the final price of the second machine after all the discount is:

(1-(0.2+0.2*0.1))*495=386.1$.

Short explanation: the additional 10% off is 2% of the initial price for the second machine; the final discount of the second machine is 22%.

8 0
3 years ago
Sonja bought a 14-inch pizza. How much crust is around its edge? (Use 3.14 for pi.)
balandron [24]
B its 43.96 in :) hope this helped
3 0
3 years ago
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