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3 years ago

Question 4 of 5

Mathematics

1 answer:

eduard3 years ago

4 0

Answer:

4x -5)(16x² +20x +25)

Step-by-step explanation:

The factoring of the difference of cubes has a standard form:

a³ -b³ = (a -b)(a² +ab +b²)

Here, your knowledge of the cubes of small integers tells you that ...

64 = 4³

125 = 5³

So, in the above, we have

a = 4x, b = 5

and the factored form is

(4x -5)(16x² +20x +25)

<h2>Please mark me as brainliest</h2>

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zhannawk [14.2K]

First you create a proportion (30/100=x/120). After you solve this, next you subtract this answer from 120. Then create a proportion for 40% (40/100=x/120). Then add this number to the first answer you got when you subtracted the answer from your first proportion from 120.

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3 years ago

Solve x2 − 8x + 5 = 0 using the completing-the-square method. (2 points)

RoseWind [281]

Answer:

$x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11}$

Step-by-step explanation:

${x}^{2} -8x + 5 = 0 \\ \\ {x}^{2} - 8x + {4}^{2} = - 5 + {4}^{2} \\ \\ {(x - 4)}^{2} = - 5 + 16 \\ \\ {(x - 4)}^{2} = 11 \\ \\ x - 4 = \pm \sqrt{11} \\ \\ x = 4 \pm \sqrt{11} \\ \\ x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11}$

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2 years ago

Write y = x2 − 4x − 1 in vertex form. y = (x + 2)2 − 5 y = (x + 2)2 + 5 y = (x − 2)2 − 5 y = (x − 2)2 + 5

marta [7]

Answer:

Step-by-step explanation:

4 0

2 years ago

The number of adult Americans from a random sample of n adults who support a bill proposing to extend daylight savings time is a

GalinKa [24]

Answer:

Right of X = 635.5

Step-by-step explanation:

By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.

According to the rule of continuity;

P(X ≤ k) becomes P( X ≤ K + 0.5)

P(X < K) becomes P(X < K - 0.5)

P(X ≥ K) becomes P(X ≥ K - 0.5)

P(X > K) becomes P(X > K + 0.5)

P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)

From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.

Then we use the > sign.

∴

P(X > K ) becomes P(X > K + 0.5)

P(X > 635) becomes P(X > 635 + 0.5)

⇒ P(X > 635.5) tot the right.

Right of X = 635.5

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3 years ago