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Paladinen [302]
2 years ago
5

Resolve into factors. p4+7p2q2+16q4​

Mathematics
1 answer:
uranmaximum [27]2 years ago
7 0

Step-by-step explanation:

p⁴+8p²q²+16q⁴

(p²)²+2×p²×4q²+(4q²)²

We know that,

  • (a+b)²=a²+2ab+b²

Therefore,

  • (p²)²+2×p²×4q²+(4q²)²
  • (p²+4q²)²
  • (p²+4q²)(p²+4q²)
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10. Enter a fraction to 0.93. Use only whole numbers for numerators and denominators.
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Answer:

93/100

Step-by-step explanation:

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All real numbers greater than or equal to -8. You can see 3 is a minimum point because at 3 the numbers start to increase again. -8 is the lowest number and the function is increasing as x approaches infinity starting at 3. 
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A child lets go of a balloon that rises at a constant rate. 5 seconds after it was released, the balloon is at a height of 16 fe
Mama L [17]

Answer:

1. h = 2.4t + 4

2. 4 feet

3. 220 feet

Step-by-step explanation:

1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising.

Since the balloon rises at a constant rate, we find this rate by using the initial and final values of height and time at 5 seconds and 20 seconds respectively which are 12 feet and 52 feet respectively.

So, rate = gradient of line

= change in height/change  in time

= (52 ft - 16 ft)/(20 s - 5 s)

= 36 ft/15 s

= 2.4 ft/s

Now the equation of the line which shows the height is gotten from

(h - h')/(t - t') = rate

Using h'= 16 feet and t' = 5 s, we have

(h - 16)/(t - 5) = 2.4

h - 16 = 2.4(t - 5)

h - 16 = 2.4t - 12

h = 2.4t - 12 + 16

h = 2.4t + 4

where h is the height of the balloon above the ground and t is the time spent in the air in seconds.

2. What was the height of the balloon initially before the child let it go?

We obtain the initial height of the balloon before the child let go at time, t = 0 the time before the child let go.

So, substituting t = 0 into the equation for h, we have

h = 2.4t + 4

h = 2.4(0) + 4

h = 0 + 4

h = 4 feet

So, the height of the balloon before the child let go is 4 feet above the ground.

3. Use your model to predict the height of the balloon after 90 seconds.

We insert t = 90 s into the equation for h. So,

h = 2.4t + 4

h = 2.4(90) + 4

h = 216 + 4

h = 220 feet

So, the height of the balloon after 90 s is 220 feet above the ground.

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3 years ago
Please help me solve this
stiv31 [10]

Answer:

1/6

Step-by-step explanation:

First you make the denominator on the fractions the same

3 * 2 = 6

Multiply the number the same for the numerator

3 * 1 = 3

so the fraction is 3/6 since 3/6 = 1/2

4/6 - 3/6 = 1/6

she has 1/6 pipe left

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