What is the domain and range of this function?

I need help on doing the equal values method. Please tell me how to do y=11-2x y=x+2

noname [10]

Answer:

11-2x=x+2

-3x=9

x=-3

Step-by-step explanation:

y=11-2x

y=x+2

So we use the first equation to plug in for the second equation.

Then we solve for x and get the answer. Hope this helps. Thank you.

8 0

3 years ago

Solve for x {x+4]= 6

wlad13 [49]

The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have an equation:

x(x + 4) = 6

By distributive property:

x² + 4x = 6

x² + 4x - 6 = 0

a = 1, b = 4, c = -6

Plugging all the values in the formula:

$\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}$

After calculating:

$\rm x = \dfrac{-4 \pm\sqrt{40}}{2}$

$\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}$

Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

6 0

2 years ago

Read 2 more answers

Please EXPLAIN how to get this answer so I can do it with other problems. A straight answer would be great, but I have to do abo

OLEGan [10]

Answer:

PQ = 3.58, and RQ = 10.4

Step-by-step explanation:

We are given the hypotenuse of the triangle, and an angle. Use sin and cos to solve.

Hypotenuse = 11,

Opposite side is PQ

Adjacent side is RQ

x = 19

Sin x = (opposite side)/(hypotenuse)

Cos x = (adjacent side)/(hypotenuse)

For PQ, this is the side opposite to the angle, so use sin,

Sin 19 = x/11

11(Sin 19) = x

3.58 = x (rounded to the nearest hundredth)

For RQ, this is the side adjacent to the angle, so use cos,

Cos 19 = x/11

11(Cos 19) = x

10.4 = x (rounded to the nearest hundredth)

6 0

3 years ago

Reduce fraction: a^3+a^2b/5a times 25/3b+3a

Margaret [11]

ANSWER

$\frac{5a}{3}$

EXPLANATION

The given fractions are:

$\frac{{a}^{3} + {a}^{2} b}{5a} \times \frac{25}{3b + 3a}$

We factor to obtain:

$\frac{{a}^{2}(a + b)}{5a} \times \frac{25}{3(a + b)}$

We cancel the common factors to get:

$\frac{{a}(1)}{1} \times \frac{5}{3(1)}$

We multiply the numerators and also multiply the denominators to get:

$\frac{5a}{3}$

Therefore the two fractions simplifies to $\frac{5a}{3}$

3 0

3 years ago

Which of the following expressions is equivalent to –6?

Inessa [10]

Answer:

the correct answer po is letter A

Step-by-step explanation:

Tinatamad akong mag explain pero tama po 'yan

8 0

2 years ago

What is the domain and range of this function?​

What is the domain and range of this function?