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siniylev [52]
2 years ago
6

Use the linear combination method to solve the system of equations. â€"2. 1x 4y = 5. 3 2. 1x â€" 5. 5y = â€"0. 2 What is the sol

ution to the system? ( , ).
Mathematics
1 answer:
RoseWind [281]2 years ago
4 0

The solution to the systems of equations is (7, 3)

Given the systems of equations expressed as:

-x + 4y = 5 ....................1

x - 5y = -2 ...................... 2

Add both equations to have:

-x+x + 4y - 5y = 5 - 2

4y-5y = -3

-y = -3

y = 3

Substitute y = 3 into equation 1:

-x + 4(3) = 5

-x + 12 = 5

-x = 5 - 12

-x = -7

x = 7

Hence the solution to the systems of equations is (7, 3)

Learn more on simultaneous equations here: brainly.com/question/148035

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Fourteen increased by 6 times a number is 32?
Sliva [168]
14 times 6 is 84, sorry if I didn’t understand your question
8 0
3 years ago
Read 2 more answers
What is tan(θ/2), when tan(θ) = 4/3 and when π < θ < 3π/2?
Tamiku [17]
Tan (Ф/2)=⁺₋√[(1-cosФ)/(1+cosФ)]
if π<Ф<3π/2;
 then,  Where is Ф/2??
π/2<Ф/2<3π/4; therefore Ф/2 is in the second quadrant; then tan (Ф/2) will have a negative value.

tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]

Now, we have to find the value of cos Ф.
tan (Ф)=4/3
1+tan²Ф=sec²Ф
1+(4/3)²=sec²Ф
sec²Ф=1+16/9
sec²Ф=(9+16)/9
sec²Ф=25/9
sec Ф=-√(25/9)        (sec²Ф will have a negative value, because Ф is in the        sec Ф=-5/3                                 third quadrant).

cos Ф=1/sec Ф
cos Ф=1/(-5/3)
cos Ф=-3/5

Therefore:

tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
tan(Ф/2)=-√[(1+3/5)/(1-3/5)]
tan(Ф/2)=-√[(8/5)/(2/5)]
tan(Ф/2)=-√4
tan(Ф/2)=-2

Answer: tan (Ф/2)=-2; when tan (Ф)=4/3


3 0
3 years ago
Find f(2) if f(x) = (x + 1)2.<br><br><br> 1. 9<br> 2. 6<br> 3. 5
kolezko [41]

Answer: f(2) = 6

Step-by-step explanation: In this problem, we are given the function

f (x) = (x + 1) 2 and we are asked to find f(2). In other words, if we put an "x" into our function, we get a (x + 1) 2 out.

f we put a 2 into the function, we get f(2) =  (2 + 1) 2 out. Now all we have to do is simplify on the right side.

2 + 1 gives us 3 and if we multiply 3 by 2, we get a product of 6.

Therefore, f(2) is 6.

7 0
3 years ago
In Spetember of 2013, Mario The Baker introduced a new chocolate cake and hired Doug and Jeremy to bake these cakes. Every custo
professor190 [17]

Answer:

There is a 90.32% probability that the cake was baked by Doug.

Step-by-step explanation:

We have these following probabilities:

A 70% probability that Doug bakes the cake.

A 30% probability that Jeremy bakes the cake.

A 40% probability that a cake baked by Doug gets a thumbs up.

A 10% that a cake baked by Jeremy gets a thumbs up.

One cake was selected at random on 10/01/2014 and got a "thumbs up".

1. Find the probability that the cake was baked by Doug.

The probability that a baked cake gets a thumbs up is:

P = 0.7*0.4 + 0.3*0.10 = 0.31

Of those, 0.7*0.4 = 0.28 are baked by Doug.

So the probability is:

P = \frac{0.28}{0.31} = 0.9032

There is a 90.32% probability that the cake was baked by Doug.

4 0
3 years ago
Hiiii help please ahh
Brilliant_brown [7]

Answer:

Question 1 Answer : x^2 - 2y^2

Question 2 Answer: x^2\pi - 36\pi

7 0
3 years ago
Read 2 more answers
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