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Alex17521 [72]
2 years ago
15

What is the average speed for the interval t=1 hour to t=3 hours

Mathematics
1 answer:
inysia [295]2 years ago
5 0

Answer:

7.5 miles per hour

Step-by-step explanation:

Average speed over the interval [1, 3] = (distance at 3 hrs -distance at 1 hr)/(3 hrs - 1 hr)

From the graph:

Distance at 3 hrs = 30 => (3, 30)

Distance at 1 hr = 15 => (1, 15)

Average speed = (30 - 15)/(3 - 1)

Average speed = 15/2

= 7.5

Therefore, average speed = 7.5 miles per hour

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Jim bought the game system on sale for $195. Kaylen bought the same system at full price for $250. How much was the sale for whe
castortr0y [4]

Answer:

The game system that Jim bought had the sale of $55 off.

Step-by-step explanation:

Jim sale price = $195

Kaylen price = $250

250 -195 = 55

7 0
3 years ago
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Find the function rule<br> X= -2,-1,0,1,2<br> Y= 9,4,-1,-6,-11
anygoal [31]

Answer:

The function rule for x is +1 and y is -5

Step-by-step explanation:

The function rule is basically the change for the set of numbers, like how x = 1, 2, 3, the function rule is +1, it's just the rate of change for the set of numbers.

6 0
3 years ago
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What is G equivalent to in 21.8-G=9.5???
inn [45]
G is equal 12.3 in this equation
7 0
3 years ago
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Type the correct answer in each box. (____)
trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8)   mm

V = 1024π mm³

Calculations:

1. Find the cubic equation  

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²  

1024 = x(x² - 16x  + 64)

1024 =    x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is  

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the <em>rational roots theorem</em>, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1  -16   64  -1024

  <u>|     16     0   1024 </u>

   1     0   64        0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0        x² + 64 =    0

     x = 16       x²         = -64

                       x          =  ±8i

There is only one real root: x = 16 mm

6 0
3 years ago
LCM of 4/6 and 4/8????
Svet_ta [14]

Answer:

24 is the LCM of 4,6,8. I think thats what your looking for.

Hope this helps!

Step-by-step explanation:

5 0
2 years ago
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