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Karolina [17]
3 years ago
12

Once a commercial plane reaches the desired altitude, the pilot often travels at a cruising speed. On average, the cruising spee

d is 570 miles/hours. If a plane travels at this cruising speed for 7 hours, how far does the plane travels while cruising at this speed.
Mathematics
1 answer:
LiRa [457]3 years ago
5 0
We know that the commercial plane travels 570 miles/hour. To find out how many miles does the plane travel, we do:
570 × 7 = 3990 miles.
Therefore, the plane travel 3990 miles.
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splashtown charges an entrance fee of $25 plus $1 for each ride. Schlitterbahn charges a $40 entrance fee and all the rose are f
laila [671]
Splashtown: 25 + 1x
Schlitterbahn: 40
25 + 1x = 40
-25 -25
0 1x = 15
x = 15
So after 15 rides, Schlitterbahn would be cheaper than Splashtown.
8 0
3 years ago
If f(1) = 0, what are all the roots of the function f(x)=x^3+3x^2-x-3? Use the Remainder Theorem.
Sophie [7]
There's no if about it, 

f(x)=x^3+3x^2-x-3


has a zero f(1)=0 so x-1 is a factor.   That's the special case of the Remainder Theorem; since f(1)=0 we'll get a remainder of zero when we divide f(x) by x-1.

At this point we can just divide or we can try more little numbers in the function.  It doesn't take too long to discover f(-1)=0 too, so  x+1 is a factor too by the remainder theorem.  I can find the third zero as well; but let's say that's out of range for most folks.

So far we have 

x^3+3x^2-x-3 = (x-1)(x+1)(x-r)

where r is the zero we haven't guessed yet.  Again we could divide f(x) by (x-1)(x+1)=x^2-1 but just looking at the constant term we must have

-3 = -1 (1)(-r) = r

so

x^3+3x^2-x-3 = (x-1)(x+1)(x+3)

We check f(-3)=(-3)^3+3(-3)^2 -(-3)-3 = 0 \quad\checkmark

We usually talk about the zeros of a function and the roots of an equation; here we have a function f(x) whose zeros are

x=1, x=-1, x=-3

8 0
3 years ago
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Simplify cos θ sec θ.
cupoosta [38]
Here you go :) ......

4 0
3 years ago
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What is the value of x in the equation 6 (x + 11) = -300
Orlov [11]

Answer:

x=-61

Step-by-step explanation:

3 0
2 years ago
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Lee has a jar of 100 pennies. She adds groups of 10 pennies to the jar. She adds 5 groups. What numbers does she say?
kherson [118]
If Lee starts with 100 pennies and adds groups of 10, the operation is addition. Since she does this 5 times, there is 5 different numbers Lee said.

100 + 10 = 110
110 + 10 = 120
120 + 10 = 130
130 + 10 = 140
140 + 10 = 150

Thus, all of the numbers she said were 110, 120, 130, 140, and 150.


Hope this helps! :)

4 0
3 years ago
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