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aleksley [76]
3 years ago
13

What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0
The\ perfect\ scuare:(a+b)^2=a^2+2ab+b^2\\------------------\\\\x^2+2x\to a=x;\ 2ab=2xb\to b=1\\\\therefore\\\\x^2+2x\cdot1+1^2=x^2+2x+\boxed{1}\leftarrow\boxed{A}
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Which of the following affect the market value of a house? Mark all that apply.
garik1379 [7]
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B.
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6 0
3 years ago
Read 2 more answers
A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all
barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

b) 3.7970

c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all are boys. Assume that the probability of having a girl is 47.00​%. ​

a) Create a probability model for the number of children​ they'll have.

X=1,2,3

​P(X=1)=??

P(X=2)= ??

P(X=30=???

​(Round to four decimal places as​ needed

​b) Find the expected number of children.

E(X)= ???

​c) Find the expected number of boys​ they'll have.

Expected number of boys= ???

Solution:

Probability of a girl= 0.47

Probability of a boy= 0.53

a) P(X=1)= 0.47

P(X=2) = 0.47× 0.53= 0.2491

P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

             = 0.942923

b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

                                       = 3.796969

c) Y: number of boys

P(Y=1)= 0.53×0.47= 0.2491

P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

       = 0.148875×3 +0.46375×2+0.2491 ×1

      = 1.6232

5 0
3 years ago
HELP ASAP PLEASE NEED IT RIGHT NOWWWW THANK YOU.!!
Alex73 [517]

Answer:

it should be 71

Step-by-step explanation:

16+5+5+5+5+5+5+5+5+5+5

+5= 71

16 is the 4th and you had 5 eleven more times becuase the numbers are increasing by 5.

5 0
1 year ago
Whats the distance between (-8,-7) (8,-4)
balandron [24]
To find the distance between points, use the distance formula.

Distance formula: \sqrt{ (x_{2} -  x_{1})^{2} + ( y_{2} -  y_{1})^{2} }

Plug in your values for x_{2},  x_{1},  y_{2},  y_{1} using (-8, -7) and (8, -4) and solve.

\sqrt{(8 - (-8))^{2}+(-4 - (-7))^{2}}
\sqrt{(8+8)^{2}+(-4+7)^{2}}
\sqrt{(16)^{2}+(3)^{2}}
\sqrt{256+9}
\sqrt{265} ≈ 16.28

Answer:
Approximately 16.28 units.
8 0
3 years ago
A scuba diver is at -20 meters. He descends 10 meters per minute, m. Write and solve an inequality that represents how many minu
Tomtit [17]

Answer:

-170= -10m - 20

Step-by-step explanation:

-20 is the y intercept, so in the equation y=mx+b that would be the b. Because he is going down at 10 meters per minute, it means that the -10 would go into the x spot and the -170 is where he needs to get to. Hope this helped!

7 0
3 years ago
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