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tigry1 [53]
2 years ago
11

3.5x^3-2.3x^2+1.4x+15.6-1.2x^3+4.5x^2-0.3x-3.2

Mathematics
1 answer:
Kamila [148]2 years ago
8 0

Answer: 12.4 + 1.1x + 2.2x^2 + 2.3x^3

Step-by-step explanation:

add the like variables

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Step-by-step explanation:

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Find the circumference and the area of a circle with radius 9<br> .
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C=2(pi)r use this equation with 9 in place of r
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3 years ago
Read 2 more answers
During the first part of a​ trip, a canoeist travels 96 miles at a certain speed. the canoeist travels 15 miles on the second pa
blondinia [14]
This problem is a problem using 
d = r * t
First part of the trip
d = 96 miles
r = ??
t = ??

Second part of the trip
d = 15 miles
r = r - 5
t = 4 - t

Solve for r first.
96/r + 15/(r - 5) = 4 hours                multiply through by r and r - 5
96(r - 5) + 15r  = 4*(r - 5)(r)             Remove the brackets on the left
96r - 480 + 15r = 4*r*(r - 5)             Collect like terms on the left.
111r - 480 = 4r(r - 5)                        Remove the brackets on the right.
111r - 480 = 4r^2 - 20r                     Bring the left side over to the right side.
0 = 4r^2 - 20r - 111r + 480               Collect like terms.
0 = 4r^2 - 131r + 480

The only way I could do this was to use the quadratic equation.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 4

b = - 131

c = 480

\text{x = }\dfrac{ -(-131) \pm \sqrt{(-131)^{2} - 4*4*480 } }{2*4}
\text{x = }\dfrac{ 131 \pm \sqrt{(17161) - 7680 } }{8}
\text{x = }\dfrac{ 131 \pm \sqrt{9481 } }{8}
\text{x = }\dfrac{ 131 \pm 97.37  }{8}

x = (131 + 97.38)/8
x = 28.55
x = (131 - 97.37)/8
x = 4.20

4.2 isn't going to work because the slower speed has to be larger than 5, otherwise you will get a negative speed (as this solution will give), so 4.20 is an extraneous solution.

r = 28.55 for the first  part of the trip and
r = 23.55 for the second part of the trip.

Check.
Let's see if the times add up to 4
d/r = t
96/28.55 = 3.36
15/22.75 = 0.64

The times do = 4, so the rates are correct.

Answers
r1 = 28.55 for the 96 mile trip.
r2 = 23.55 for the 15 mile trip.

8 0
3 years ago
Find the length of the missing side using the pythagorean theorem
fenix001 [56]

Answer:

3

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

You can fill in the numbers you know: a²+4²=5²

(Hypotenuse must be side c)

Square those numbers and you have: a²+16=25

Subtract 16 from both sides: a²=9

Square root both sides and you get: a=3

8 0
2 years ago
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