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2 years ago

Find the domain of the following piecewise function

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

6 0

The domain of the function will be [-4, 6). Then the correct option is B.

The complete question is attached below.

<h3>What are domain and range?</h3>

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

$f(x) = \left\{\begin{matrix}x+4, & if & -4\leq x < 3 \\\\2x-1, & if & 3 \leq x < 6 \\\end{matrix}\right.$

Then the domain of the function will be [-4, 6).

Then the correct option is B.

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

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Answer:

12.56 square feet

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3 years ago

8 - 3x = 17 Solve the equation

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3 years ago

X^3+3x^2y+3xy^2+y^3 ———————————— X^3+y^3

Hoochie [10]

To factor this fraction, you have be be aware of two special factoring formula:
a^3 + b^3 = (a + b)(a^2 – ab + b^2)

(a+b)³ = a³ + 3a²b + 3ab² + b³

You can see the top part in this case is (x+y)^3, and the bottom (denominator) can be factor into (x+y)(x^2-xy+y^2)
we can cancel (x+y), so what we have left is (x+y)^2/(x^2-xy+y^2)
or (x^2+2xy+y^2)/(x^2-xy+y^2)

7 0

3 years ago

Please help I am desperate

Phoenix [80]

Answer:

see below

Step-by-step explanation:

72pi cubic inches

1/3 pi r ^2 * h = 72 pi

1/3 r^2 h = 72

You can theoretically find infinite answers to this and get enough points for the semester where you don't have to do work anymore. I will list a couple more possible answers below

r = radius, h = height

r = 2, h = 54

r = 3, h = 24

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5 0

3 years ago

A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

6 0

3 years ago