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3 years ago

HELP...... rewrite the equation by completing the square. x ^2 +10x+16=0

Mathematics

1 answer:

Sonbull [250]3 years ago

5 0

Answer:

$(x+5)^{2} = 9$

Step-by-step explanation:

To complete the square you need to add $\frac{b}{2}^{2}$ to both sides. (Parenthesis around b/2)

b = 10

b/2 = 5

(b/2)^2 = 25

$x^{2}$ +10x + 16 = 0

subtract 16 to both sides

$x^{2}$ + 10x = -16

add 25 to both sides

$x^{2}$ +10x + 25 = 9

Perfect Square Trinomial Factoring

$(x+5)^{2}$ = 9

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3 years ago

A team has P points.

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Sub in the values and solve for W
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4 years ago

Read 2 more answers

Mr. And Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.14

poizon [28]

Answer:

0.938

Step-by-step explanation:

From the question :

p = 0.14

Number of children, n = 7

P(x ≤ 2) = P(2) + P(1) + P(0)

Using binomial probability :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

We could also use the binomial probability calculator :

P(x ≤ 2) = 0.3479 + 0.3965 + 0.1936

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8 0

3 years ago

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $

gayaneshka [121]

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

$x+y=14\\x=14-y\,\,\,\,...(i)$

Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie

Total amount earned = $1010

$40x+130y=1010\,\,\,...(ii)$

Put $x=14-y$ in (ii)

$40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5$

Put $y=5$ in $x=14-y$

$x=14-5=9$

Therefore, Adrian's songs played on 9 commercials and 5 movies.

7 0

3 years ago