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3 years ago

11

Which of the following is a radical equation?

1 answer:

MrMuchimi3 years ago

5 0

It is A because it can’t be B and it can’t be C and it can’t be D so my answer is A

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What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)

Minchanka [31]

ANSWER

(3, 11) and (−3, −7)

EXPLANATION

The given system of equations are:

$y = {x}^{2} + 3x - 7$

and

$3x - y = - 2$

or

$y = 3x + 2$

We equate the two equations to obtain,

${x}^{2} + 3x - 7 = 3x + 2$

We rewrite in standard quadratic form to obtain,

${x}^{2} + 3x - 3x - 7 - 2 = 0$

This simplifies to

${x}^{2}- 9= 0$

We solve for x to obtain,

${x}^{2} = 9$

$x = \pm \sqrt{9}$

$x = \pm 3$

$x = 3 \: or \: x = - 3$

When
$x = 3$

$y = 3(3) + 2 = 11$

When x=-3,

$y = 3( - 3) + 2 = - 7$

Therefore the solution for the system is (3, 11) and (−3, −7).

7 0

2 years ago

Read 2 more answers

In how many ways can a committee of 5 people be chosen from a total of 30 possible people?

Stolb23 [73]

Answer: 142506

Step-by-step explanation:

Given : The total number of choices for people in committee = 30

The number of people need to be chosen =5

Since , here order doesn't matter, so we use combination.

The combination of r things taking from n at a time is given by :-

$C(n,r)=\dfrac{n!}{(n-r)!r!}$

Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-

$C(30,5)=\dfrac{30!}{(30-5)!5!}\\\\=\dfrac{30\times29\times28\times27\times26}{120}\\\\=142506$

Hence, the committee can be made in 142506 ways.

3 0

3 years ago

Which of the following is an equation of the line that passes through the point (−2, 3) and is perpendicular to the graph of the

Ludmilka [50]

The equation of the line is $y=-\frac{1}{3}+\frac{7}{3}$

Explanation:

The given equation is $y=3 x-2$

<u>Slope:</u>

Since, the equation of the line is perpendicular to the equation $y=3 x-2$ , then, the slope is given by

$m=-\frac{1}{3}$

Hence, the slope is $m=-\frac{1}{3}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the point (-2,3) and the slope $m=-\frac{1}{3}$ , in the above formula, we get,

$y-3=-\frac{1}{3}(x+2)$

Simplifying, we get,

$y-3=-\frac{1}{3}x-\frac{2}{3}$

$y=-\frac{1}{3}x-\frac{2}{3}+3$

$y=-\frac{1}{3}+\frac{7}{3}$

Therefore, the equation of the line is $y=-\frac{1}{3}+\frac{7}{3}$

8 0

3 years ago

Find the value of the variable if P is between J & K.

Mama L [17]

Answer:

D

Step-by-step explanation:

well you see I just guessed :D

5 0

3 years ago

El valor numérico de la expresión 〖P(y)=y〗^2-7y+10 para y=2 es: a. P(2)=9 b. P(2)=0 c. P(2)=-2 d. P(2)=-5

nika2105 [10]

Answer:

Opción b, P(2) = 0

Step-by-step explanation:

Tenemos la expresión:

P(y) = y^2 - 7*y + 10

Para encontrar el valor P(2), simplemente debemos remplazar todas las "y" en la expresión de arriba por el valor 2, asi obtenemos:

P(2) = 2^2 - 7*2 + 10 = 4 - 14 + 10 = (4 - 14) + 10 = -10 + 10 = 0

P(2) = 0

La opción correcta es b.

8 0

2 years ago