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Irina18 [472]
3 years ago
14

If you were to solve the following system by substitution, what would be the best variable to solve for and from what equation?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
7 0

Answer: B. x, in the second equation

Step-by-step explanation:

The given system :

2x+6y=9...................(1)\\\\3x-12y=15.........................(2)

To apply the substitution method , first we need to select the best variable and  a equation which is easy to simplify.

From the given system equation (2) have all the numbers which are multiples of 3.

Then we divide 3 on both sides of equation (2), we get

x-4y=5\\\\\Rightarrow\ x=4y+5

Therefore, the best variable to solve for and from what equation is x, in the second equation.

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Which of the following is a non-linear equation?
Lana71 [14]

Answer:

iv ; xy + x/y = 3

Step-by-step explanation:

A non linear equation is one in which there is no product of two different variables or the same variable

What this mean is that we have the highest polynomial power as 1 or we simply have polynomials of degree 1

Looking at the given options, we can see the product xy

What this mean is that the polynomial is of degree 2 and that makes the equation a non linear as we have a polynomial of more than 1 degree

8 0
2 years ago
Find exact value for cos(pi/16)
stellarik [79]
The exact value for cos(pi/16) would be :

cos (pi/16) =  +/-  √1+cosa/2

cos (pi/4) = sqrt2/2

Hope this helps
6 0
3 years ago
Suppose that 80% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou
Gwar [14]

Answer:

P=0.147

Step-by-step explanation:

As we know 80% of the trucks have good brakes. That means that probability the 1 randomly selected truck has good brakes is P(good brakes)=0.8 . So the probability that 1 randomly selected truck has bad brakes Q(bad brakes)=1-0.8-0.2

We have to find the probability, that at least 9 trucks from 16 have good brakes, however fewer than 12 trucks from 16 have good brakes. That actually means the the number of trucks with good brakes has to be 9, 10 or 11 trucks from 16.

We have to find the probability of each event (9, 10 or 11 trucks from 16 will pass the inspection) .  To find the required probability 3 mentioned probabilitie have to be summarized.

So P(9/16 )=  C16 9 * P(good brakes)^9*Q(bad brakes)^7

P(9/16 )= 16!/9!/7!*0.8^9*0.2^7= 11*13*5*16*0.8^9*0.2^7=approx 0.02

P(10/16)=16!/10!/6!*0.8^10*0.2^6=11*13*7*0.8^10*0.2^6=approx 0.007

P(11/16)=16!/11!/5!*0.8^11*0.2^5=13*21*16*0.8^11*0.2^5=approx 0.12

P(9≤x<12)=P(9/16)+P(10/16)+P(11/16)=0.02+0.007+0.12=0.147

7 0
2 years ago
A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser
Zepler [3.9K]

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

H_0 :P \geq 0.49\\\\H_1:P

Significance level: \alpha = 0.10

It is decided that the null hypothesis at the defined meaning level is rejected.

5 0
3 years ago
The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.
LiRa [457]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
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