If y = 3x - 4 and the domain is {-3,-1,4}, find the range.

2 answers:

4 0

We could put the domain into the x values to get the y values (range).

y = 3(-3) - 4
y = -9 - 4
y = -13

y = 3(-1) - 4
y = -3 - 4
y = -7

y = 3(4) - 4
y = 12 - 4
y = 8

Nana76 [90]3 years ago

4 0

Y = 3(-3) - 4 = -9 - 4 = -13
y = 3(-1) - 4 = -3 - 4 = -7
y = 3(4) = 4 = 12 - 4 = 8

You might be interested in

PLZ HELP AND EXPLAIN !! Arron borrowed $200 from his cousin. He promised to repay the loan in 2 years at a simple annual interes

Dmitriy789 [7]

The first thing you have to do is know the equation. The equation is a(1+p)^t.
a= the amount of money p= the percent represented as a decimal and t=time ( the t is raised as an exponent)
so, in this case, it is represented as 200(1+0.05)^2\
200(1.05)^2
200(1.1025)
220.5 That is how much extra he would owe in interest fee's

5 0

3 years ago

A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th

Ronch [10]

Refer to the attachment for the diagram of the problem.

Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
$45^{2} = s^{2}+ s^{2}$
$45^{2} = 2s^{2}$
$45^{2} = 2s^{2}$
$1012.5 = s^{2}$
$s=31.82$

We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
$\frac{31.82}{5x} = \frac{45}{y}$
$y=7.07x$

We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
$(7.07x)^{2} = (5x)^{2}+ (31.82-2x)^{2}$
$50x^{2} = 25x^{2}+ 1012.5-127.28x+4x^{2}$
$0= -21x^{2}-127.28x+1012.5$
$x=4.55,-10.61$

We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.

6 0

3 years ago

Given that m angle G- 81", what is m angle I?<br> A)81"<br> B)89<br> C)91<br> D)99

seraphim [82]

Answer:

$\text{D) }99^{\circ}$

Step-by-step explanation:

Define a cyclic quadrilateral by a quadrilateral that is circumscribed by a circle. In this case, since the quadrilateral shown is circumscribed by a circle, it is a cyclic quadrilateral.

A property of all cyclic quadrilaterals is that their opposite angles are supplementary, meaning they add up to 180 degrees. Since $\angle G$ and $\angle I$ are opposite angles in the quadrilateral, they must be supplementary. Therefore, we have the equation: