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Ksivusya [100]
3 years ago
7

Solve the equation?

Mathematics
2 answers:
slava [35]3 years ago
8 0

Answer:

A. p = -4, p = 2.

Step-by-step explanation:

p^2 + 2p - 8 = 0

Using the quadratic formula;

p =  [-2 +/- √(2^2 - 4*1*-8)] / 2

= (-2 +/- √36) / 2

= (-2 +/- 6) / 2

= 4/2 , -8/2

= 2,  -4.

stiks02 [169]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Given

p² + 2p - 8 = 0 ← in standard form

with a = 1, b = 2, c = - 8

Using the quadratic formula to solve for p

p = ( - 2 ± \sqrt{2^2-(4(1)(-8))} / 2

  = ( - 2 ± \sqrt{4+32} / 2

  = ( - 2 ± \sqrt{36} ) / 2

p = \frac{-2-6}{2} = \frac{-8}{2} = - 4

p = \frac{-2+6}{2} = \frac{4}{2} = 2

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Answer:

8.48%

Step-by-step explanation:

Given that,

The estimated bill = $480

Actual costing of the bill = $524.50

We need to find the percent error in the bill. It can be calculated as follows :

\%=\dfrac{524.50-480}{524.50}\times 100\\\\\%=8.48\%

So, the percentage error in the bill is 8.48%.

6 0
3 years ago
Ea income of a person is Rs
matrenka [14]

Answer:

$13500. 00 is the 15% increase yearly + $90000.00 = $103,500.00 new yearly salary

3 0
2 years ago
A washer and a dryer cost $857 combined. The washer costs $93 less than the dryer. What is the cost of the dryer?
Lelechka [254]

Answer:

Dryer cost $475;  Washer cost $382

Step-by-step explanation:

For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).

We are given the washer and dryer cost $857 together.

x + y = 857

We are also given that the washer cost $93 less than the dryer.

x = y - 93

So to find the cost of the dryer, we simply need to find the value of y.

x + y = 857

x = y - 93

( y - 93 ) + y = 857

2y - 93 = 857

2y = 950

y = 475

So now we have the value of the dry to be $475.  We can check this by simply plugging in the value and see if it makes sense.

x + y = 857

x + 475 = 857

x = 382

And check this value:

x = y - 93

382 ?= 475 - 93

382 == 382

Therefore, we have found the values of both the washer and the dryer.

Cheers.

6 0
3 years ago
5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.
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7 0
3 years ago
Maria's height while jumping on a a trampoline can be modeled by the equation h=-16t^2+18t+5. Where t=time in seconds and h=heig
Vadim26 [7]

Answer:

10.06 ft

Step-by-step explanation:

Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.

The equation for the height reached by Maria on the trampoline is given as:

h=-16t^2+18t+5

To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).

Her velocity can be found by differentiating her height i.e. dh/dt:

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Therefore, when v = 0:

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It takes her 0.5625 seconds to get to her maximum height.

Therefore, her height at that time (0.5625 seconds) is:

h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft

Therefore, her maximum height is 10.06 ft.

3 0
3 years ago
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