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DENIUS [597]
3 years ago
6

Please help me I don't get it and thanks!​

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0
(x + x² + 4x) 3

3(x) + 3(x²) + 3(4x)

3x + 3x² + 12x
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Match each equation with its solution set. Tiles a2 − 9a + 14 = 0 a2 + 9a + 14 = 0 a2 + 3a − 10 = 0 a2 + 5a − 14 = 0 a2 − 5a − 1
sattari [20]
We have that

N 1)
a²<span> − 9a + 14 = 0 
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² − 9a)=-14

Complete the square  Remember to balance the equation by adding the same constants to each side 

(a² − 9a+20.25)=-14+20.25

Rewrite as perfect squares

(a-4.5)²=6.25--------> (a-4.5)=(+/-)√6.25

a1=4.5+√6.25-----> a1=7

a2=4.5-√6.25-----> a2=2

the solution problem N 1 is the pair {7, 2}


N 2) 

a²<span> + 9a + 14 = 0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² + 9a)=-14

Complete the square  Remember to balance the equation by adding the same constants to each side 

(a² +9a+20.25)=-14+20.25

Rewrite as perfect squares

(a+4.5)²=6.25--------> (a+4.5)=(+/-)√6.25

a1=-4.5+√6.25-----> a1=-2

a2=-4.5-√6.25-----> a2=-7

the solution problem N 2 is the pair {-2,-7}

N 3) 

a² + 3a − 10 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² + 3a)=10

Complete the square  Remember to balance the equation by adding the same constants to each side 

(a² + 3a+2.25)=10+2.25

Rewrite as perfect squares

(a+1.5)²=12.25------> (a+1.5)=(+/-)√12.25

a1=-1.5+√12.25-----> a1=2

a2=-1.5-√12.25-----> a2=-5

the solution problem N 3 is the pair {2, -5}


N 4)

a²<span> + 5a − 14 = 0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² + 5a) =14

Complete the square  Remember to balance the equation by adding the same constants to each side 

(a² + 5a+6.25) =14+6.25

Rewrite as perfect squares

(a+2.5)² =20.25-------> (a+2.5)=(+/-)√20.25

a1=-2.5+√20.25-----> a1=2

a2=-2.5-√20.25-----> a2=-7

the solution problem N 4 is the pair {2, -7}


N 5) 

a² − 5a − 14 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² − 5a)=14

Complete the square  Remember to balance the equation by adding the same constants to each side 

(a² − 5a+6.25)=14+6.25

Rewrite as perfect squares

(a-2.5)²=2025--------> (a-2.5)=(+/-)√20.25

a1=2.5+√20.25-----> a1=7

a2=2.5-√20.25-----> a2=-2

the solution problem N 5 is the pair {7, -2}

3 0
3 years ago
Read 2 more answers
Anthony received his phone bill in the mail.
leonid [27]

Answer:$133.455

Step-by-step explanation:

5 0
2 years ago
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Convert the angle in degrees to radians. Express your answer as a multiple of π.
Elena L [17]
Converting 25 degrees to radians:

180° = π radians.

1° =  π/180  radians.

25° =  (π/180  radians) * 25

       =    (25/180) * π  radians.

Leaving the answer in terms of π,  25/180 = 5/36

=    (25/180) * π  radians = (5/36)π  radians  or ≈ 0.1389π radians.


Therefore 25° = (5/36)π  radians  or ≈ 0.1389π radians

I hope this explains it.

I think why you did not get it was because you did not leave your answer in terms of π or as a multiple of π, so as a multiple of π our answer is:

= (5/36)π  radians  or ≈ 0.1389π radians
5 0
3 years ago
(b) Let X(s) and Y(s) denote the Laplace transforms of x(t) and y(t), respectively. Find H(s) = Y(s)/X(s). Assume zero initial c
Schach [20]

Answer:

H(s)=(∫_(t=o)^∞▒〖x(t)e^(-st) dt〗)/(∫_(t=o)^∞▒〖y(t) e^(-st) dt〗)

Step-by-step explanation:

L{f(t)}=F(s)=∫_(t=0)^∞▒〖f(t)e^(-st) dt〗

8 0
3 years ago
The population of monkeys is decreasing at an annual rate of 3% per year.
Ray Of Light [21]
Since there are 12 months in a year, you would divide 3%, which is 0.3 converted to decimal, by 12

0.3 divided by 12 = 0.025

To round that answer by the nearest hundredth, you would look at the last digit.

Since that digit is a five, your rounded answer would be 0.03

ANSWER: 0.03%
8 0
2 years ago
Read 2 more answers
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