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4 years ago

Homework help, no need to explain answer

Mathematics

1 answer:

skad [1K]4 years ago

6 0

Answer:

He failed to check for extraneous solutions

Step-by-step explanation:

sqrt(x+6) -4 =x

Add 4 to each side

sqrt(x+6) -4+4 =x+4

sqrt(x+6) =x+4

Sqaure each side

(sqrt(x+6))^2 =(x+4)^2

x+6 = x^2 +8x+16

Subtract 6 from each side

x = x^2 +8x +10

Subtract x from each side

0 = x^2 +7x +10

Factor

0 = (x+5) (x+2)

Using the zero product property

x=-5 x=-2

Check the solutions

sqrt(-5+6) -4 =-5

sqrt(1) -4 = -5

1-4 =-5

-3 does not equal -5 not a solution

sqrt(-2+6) -4 =-2

sqrt(4) -4 = -2

2-4 =-2 is a solution

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sweet-ann [11.9K]

Answer:

probability that he or she will answer at least 4 problems correctly = 0.5

Step-by-step explanation:

probability that he or she will answer at least 4 problems correctly is given as;

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Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1

Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]

= [(35 x3)/252 ] + [21/252]

= [ 105/252 ] + [ 21/252 ]

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3 years ago

A pet store has 9dog leashes. It has 8 Fewer dog leashes than the dog collars. How many dog collars does the store have?

Katen [24]

Answer:

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3 years ago

Read 2 more answers

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ra1l [238]

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4 years ago

Perform the following computations.You may use13≈0.333333,34= 0.75 and100301= 0.332226.(i). Compute13+34by using five significan

White raven [17]

Answer:

a. 1.0833

Absolute Error = 0.416667

Relative Error = 1.250002

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Absolute Error = 0.0011070

Relative Error = 0.003321

Step-by-step explanation:

Given

1/3 = 0.333333

3/4 = 0.75

100/301 = 0.332226

1/3 + 3/4

= 0.333333 + 0.75

= 1.083333

= 1.0833 ------ Approximated to 5 significant digits

Absolute Error = |Real Value - Estimated Value|

Relative Error = Absolute Error/Real Value

Assume 1/3 to be the real value and 3/4 to be the estimated value

Absolute Error = |0.333333 - 0.75|

Absolute Error = |-0.416667|

Absolute Error = 0.416667

Relative Error = 0.416667/0.333333

Relative Error = 1.250002

1/3 - 100/301

= 0.333333 - 0.332226

= 0.001107

= 0.0011070 ----- Approximated to 5 significant digits

Assume 1/3 to be real value and 100/301 to be estimated value

Absolute Error = 0.333333 - 0.332226

Absolute Error = 0.0011070

Relative Error = 0.0011070/0.333333

Relative Error = 0.003321

Absolute and relative errors are approximation errors and they are due to the discrepancy between an exact value and some approximation to them.

The absolute error is the magnitude of the difference between the exact value and the approximation. The relative error is the absolute error divided by the magnitude of the exact value

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4 years ago

If a soccer team played 160 games and won 65% of them, how many games did they win?

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