1. Identify the domain and range of each relation. Represent the relation with

Mathematics

1 answer:

andreev551 [17]3 years ago

5 0

Domain is X’s, Y’s are Range so
a) Domain: 4.2, 5, 7, 4.2
Range: 1.5,2,8,0

b) Domain:-1,-2,4,7
Range: 1,2,-4,-7

You might be interested in

Raj tested his new flashlight by shining it on his bedroom wall. The beam of light can be described by the equation . How many i

Molodets [167]

Answer:

12 inches

Step-by-step explanation:

Raj tested his new flashlight by shinning it on his bedroom wall the beam of the light can be described by the equation (x^2-2x) + (y^2-4y) - 31=0. how many inches wide is the beam of light on the wall

Solution

Given:

(x^2-2x) + (y^2-4y) - 31=0

By completing the square

(x^2-2x) + (y^2-4y) - 31=0

(x^2-2x+1-1) + (y^2-4y+4-4)-31=0

(x-1)^2 -1 + (y-2)^2 - 4 - 31=0

(x-1)^2 + (y-2)^2 - 1 - 4 - 31=0

(x-1)^2 + (y-2)^2 - 36=0

(x-1)^2 + (y-2)^2=36

Writing the equation in the form: (x-h)^2+(y-k)^2=r^2

(x-1)^2+(y-2)^2=6^2

From the above, r=6

Where,

r=radius

how wide is the diameter ?

radius=6

Diameter= 2 × radius

=2×6

=12 inches

6 0

3 years ago

. Write the quadratic equation in factored form. Be sure to write the entire equation. x^2 - 5x - 24 = 0

Viefleur [7K]

Answer:

$(x+3)(x-8)=0$

Step-by-step explanation:

First, write out the equation as it is given in the problem:

$x^{2}-5x-24=0$

Now, you have to split up the "-5x" to get to factored form. The way to do this is to look for <em>the factors of "a" times "c" that sum to "b"</em>:

So, in this problem, a=1, b=-5, and c=-24. So, find the factors of (1*-24) that sum to (-5). To clarify, (1*-24)=-24, so you have to find factorsof -24 that sum to -5.

Let's write out a list of factors.

$1,-24---1+-24=-23no\\-1,24---1+24=23no\\2,-12---2+-12=-10no\\-2,12----2+12=10no\\3,-8---3+-8=-5yes$