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Ganezh [65]
3 years ago
12

Find the value of y for a given value of x, if y varies directly with x. If y = 0.15 when x = 1.5, what is y when x = 6.3? a. –0

.63 b. 0.63 c. 63 d. –63 Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0

Answer:

b

Step-by-step explanation:

I believe its b, because1.5 is 10 times 0.15

and 6.3 is 10 times 0.63

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Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y i
Gwar [14]

Answer:

The solutions for the given system of equations are:

\left \{ {{x=-5} \atop {y=12-4z}} \right.

Step-by-step explanation:

Given the equation system:

\left \{ {{3x+y+4z=-3} \atop {-x+y+4z=17}} \right.

We obtain the following matrix:

\left[\begin{array}{cccc}3&1&4&-3\\-1&1&4&17\end{array}\right]

<u>Step 1:</u> Multiply the fisrt row by 1/3.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\-1&1&4&17\end{array}\right]

<u>Step 2:</u> Sum the first row and the second row.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&\frac{4}{3} &\frac{16}{3}&16\end{array}\right]

<u>Step 3:</u> Multiply the second row by 3/4.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&1 &4&12\end{array}\right]

<u>Step 4:</u> Multiply the second row by -1/3 and sum the the first row.

\left[\begin{array}{cccc}1&0 &0&-5\\0&1 &4&12\end{array}\right]

The result of the reduced matrix is:

\left \{ {{x=-5} \atop {y+4z=12}} \right.

This is equal to:

\left \{ {{x=-5} \atop {y=12-4z}} \right.

These are the solutions for the system of equations in terms of z, where z can be any number.

6 0
3 years ago
Find the missing length. Round your answer to the nearest tenth.
Jobisdone [24]
Answer: D. 9.4 units

Explanation: We use the Pythagoras theorem because we know that it’s a right triangle and we have 2 lengths.

8^2+5^2= c^2

89=c^2
c= sqrt 89
c≈9.4 units
5 0
2 years ago
Read 2 more answers
Help!!!! <br> What is f(-5) if f(x) = |2x – 1] + 10?
quester [9]
It is 1
Explanation
[2(-5)-1]+10
[-10-1]+10
-11+10
=1
3 0
2 years ago
Matteo is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satelli
natka813 [3]

Answer: (1.5, 0)

Step-by-step explanation:

Given : The shape of his satellite can be modeled by y^2=6x where x and y are modeled in inches.

Now,the given equation y^2=6x is a equation of parabola.

Here, coefficient of x is positive, hence the parabola opens rightwards.

On comparing this equation with standard equation x^2=4mx, we get

4m=6\\\Rightarrow\ m=\frac{6}{4}=1.5

In standard equation, coordinates of focus=(m,0)

Thus for given equation coordinates of focus=(1.5,0)

4 0
3 years ago
Read 2 more answers
Identify any extraneous solution. See above pic
Sav [38]

Answer:

There are no extraneous solutions

Reasoning:

An extraneous solution is a solution that isn't valid, it might be imaginary like the square root of a negative number.

first we want to isolate z:

1+sqrt(z)=sqrt(z+5)

^2 all      ^2 all

(1+sqrt(z))(1+sqrt(z))=z+5

expand

1+2sqrt(z)+z=z+5

-1              -z  -z -1

2sqrt(z)=4

/2           /2

sqrt(z)=2

^2 all    ^2 all

z=4

Since there is one solution and it is a real number, there are no extraneous solutions.

4 0
3 years ago
Read 2 more answers
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