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grandymaker [24]
3 years ago
10

Percy said that any real number for k would cause the system of equations to have no solution. Explain the error in Percy’s stat

ement.
6x + 4y = 14,

3x + 2y = k
Mathematics
2 answers:
MatroZZZ [7]3 years ago
5 0

Answer:

Except k=7, any real number for k would cause the system of equations to have no solution.

Step-by-step explanation:

In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.

Just for information, if k=7 the system will have infinitely many solutions.

Travka [436]3 years ago
5 0

Sample Response: k = 7 proves the equations are equivalent and, therefore, have infinitely many solutions. That is illustrated by the fact that multiplying 2 by 3x +2y = 7 will create the equivalent of 6x + 4y =14.

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While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y ,
Deffense [45]

Answer:

170 heart beat per minute.

Step-by-step explanation:

While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.

So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be

y = f(21) = - 0.85(21) + 187 = - 17.85 + 187 = 169.15 ≈ 170. (Answer)

{Taking the larger integer value}

8 0
3 years ago
Identify all the sets to which the number belongs choose from rational number whole number or integer 1.256 I think irrational c
VLD [36.1K]

Answer:

Rational

Step-by-step explanation:

1.256 is not a whole #, and it's also not an integer. An integer is basically whole #s and their opposites. The # is not irrational. 1.256 is a terminating decimal, and can be turned into a fraction. 1.256 = 1 32/125.

4 0
3 years ago
jason runs 440 yards in 75 seconds. At this rate, how many minutes does it take him to run a mile? (1 mile = 1,760 yards).​
mamaluj [8]

Answer:

5 minutes

Step-by-step explanation:

we know that

Jason runs 440 yards in 75 seconds

using proportion

Find out how many minutes does it take him to run a 1.760 yards (one mile)

\frac{440}{75}=\frac{1,760}{x}\\\\x=1,760(75)/440\\\\x= 300\ sec

Convert seconds to  minutes

Divide by 60

300\ sec=300/60=5\  min

8 0
3 years ago
If 1 orange cost 30 cents how many oranges can you buy for 10.50
-BARSIC- [3]

Answer:

300!! I think...

Step-by-step explanation:

30 x 10 = 300

7 0
2 years ago
Read 2 more answers
The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .30 4 .10 a. Is this probability di
Reptile [31]

Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.25           0               0                0

1     0.20        0.20             1              0.20

2    0.15          0.3               4             0.6

3    0.30         0.9               9             2.7

4    0.10          0.4               16             1.6

   ∑P(x)=1     ∑xP(x)=1.8               ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.25+0.20+0.15+0.30+0.10

\sum P(X)=1

Yes it is a probability distribution.

b) The expected value of x is defined as

E(x)=\sum xP(x)=1.8

c) The variance of x is defined as

V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86

d) The standard deviation of x is  defined as

\sigma=\sqrt{V}

\sigma=\sqrt{1.86}

\sigma=1.136

5 0
3 years ago
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