Math - Finding Volume - Answer All if you can

If a nonlinear system of equations contains one linear function that never touches the quadratic function, then the system has w

aivan3 [116]

A nonlinear system of equation is a system of equation that has at list one nonlinear equation

A nonlinear system of equations that has one linear function that never intersects the quadratic function has; No solution

The reason the option selected for the number of solutions is correct is as follows;

Required:

The number of solutions a system of nonlinear equations that do not intersect have

Solution:

The given system of equation is presented as follows;

Linear function: f(x) = m·x + c

Quadratic function: f(x) = a·x² + b·x + c

Given that the linear function never touches the quadratic function, we have;

a·x² + b·x + c ≠ m·x + c

Therefore, the equations are never equal hand they have no common solution

Therefore, the correct option is No solution

Learn more about nonlinear system of equations here:

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8 0

3 years ago

Is 50 a perfect square ? Explain your answer please

xeze [42]

No, 50 is not a perfect square. A perfect square is any number that can be divided by any number to get the quotient as the same number AND the quotient must be rational. When you divide 50 so that the quotient equals the divisor, you will get an irrational number. Therefore, 50 is not a perfect square.

3 0

4 years ago

Read 2 more answers

Jessica, Chau, and Kareem sent a total of 84 text messages during the weekend. Kareem sent 4 times as many messages as Chau. Jes

swat32

Answer:

Number of messages sent by Chau = 15

Number of messages sent by Kareem = 4 * 15 = 60

Number of messages sent by Jessica = 15 - 6 = 9

Step-by-step explanation:

Let number of messages sent by Chau = c

Number of messages sent by Kareem = 4 times as Chau

= 4 * c = 4c

Number of messages sent by Jessica = 6 fewer messages than Chau

= c - 6

Total messages = 84

c + 4c + c - 6 = 84 {Combine like terms}

6c - 6 = 84 {Add 6 to both sides}

6c = 84 + 6

6c = 90 {Divide both sides by 6}

c = 90/6

c = 15

Number of messages sent by Chau = 15

Number of messages sent by Kareem = 4 * 15 = 60

Number of messages sent by Jessica = 15 - 6 = 9

3 0

3 years ago

Read 2 more answers

Write the direct variation if y=3 and x=10

anyanavicka [17]

Answer:

3/10

Step-by-step explanation:

6 0

3 years ago

Write the quadratic equation whose roots are -6 and 6, and whose leading coefficient is 1 .

SCORPION-xisa [38]

Answer:

The quadratic equation is: $y=x^2-36$

Step-by-step explanation:

If the roots of the quadratic equation are "-6" and "6", then it must have the following factors: $(x+6)\,\, and \,\,(x-6)$

Therefore, we can write the equation in factor form as:

$y=a\,(x+6)\,(x-6)$

where a is a real number constant factor. Now, this equation in standard form will look like:

$y=a\,(x^2+6x-6x-6^2)=a\,(x^2-36)=ax^2-36\,a$

Therefore, using the information about the leading coefficient being "1" (one), we derive that the constant factor $a$ must be "1". The final expression for the quadratic becomes:

$y=x^2-36$

5 0

4 years ago