All categories

4 years ago

What is the range of the function represented by the table of values below?

1 answer:

4 0

The range is the interval of y values.
Smallest y values is -9 and the highest y values is 9.
So the range is $-9 \leq y \leq 9$

You might be interested in

Please help I will give out brainliest

Nitella [24]

Answer:

i)x=0,x=1

ii)

$\frac{2}3} + \frac{\sqrt{40} }{6} \\\frac{2}3}-\frac{\sqrt{40} }{6}$

Step-by-step explanation:

so I did not use the graphs actually.

for the answer to question i), i wrote out the equation as given:

3x^2-3x+2=2

then, i subtracted the two from the right side of the equation to make the equation set equal to 0, and I got:

3x^2-3x+2-2=+2-2, which becomes 3x^2-3x=0

then, I used the quadratic method of taking out the greatest common factor, which in this case is 3x, and the equation becomes:

3x(x-1)=0

finally, for this equation, I set 3x=0 and x-1 =0 to get the solutions to this equation, as shown below

3x=0(divide both sides by 3 to get)x=0

x-1=0(add 1 to both sides to get)x=1

now for the second equation, I had no other choice but to use the quadratic formula to find the solutions.

so I set up the quadratic formula as shown:

$\frac{-(-4)+ or -\sqrt{(9-4)^2)-4(-2)(3)} }{2(3)}$

from there the equation gets simplified down to:

$\frac{4+ or -\sqrt{16-4(-6)} }{6}$

simplifying the formula even further gives us:

$\frac{4+ or -\sqrt{40} }{6}$

if we simplify the equation one last time, we get:

$\frac{2}{3} + or -\frac{\sqrt{40} }{6}$

therefore, the solutions to this equation are:

$\frac{2}{3} +\frac{\sqrt{40} }{6}\\ \frac{2}{3} - \frac{\sqrt{40} }{6}$

8 0

3 years ago

The measure of the supplement of an angle is three times the measure of the

gtnhenbr [62]

<h2>Answer:</h2>

<h3><em>x=45degrees</em></h3>

<h2>Step-by-step explanation:</h2>

Let the angle to be solved be x

Let the supplement/compliment by y

x+y=90 Complimentary angles add up to 90 degrees.

x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:

x+y=90 Isolate x:

x=90−y Input into the other equation:

(90−y)+3y=180 Combine like terms, isolate y and its coefficients:

2y=90 Isolate y

y=45 Input into the first equation:

x+45=90 Isolate x:

x=45degrees

5 0

3 years ago

Frank has a bank account balance of -$45.30. Bruce has a bank account balance of -$55. Which of the following statements is true

Allisa [31]

A. Frank's debt is less than Bruce's

3 0

3 years ago

Read 2 more answers

Find the coordinates that will make this equation true? PLEASE HELP!!!

Elenna [48]

Answer:

2.4 makes it true!

I love you

yea yea yea yea yea

Step-by-step explanation:

8 0

2 years ago

I need a answer fast pls help

snow_lady [41]

The radius is 2.5 all you had to do was divide 5 by 2 lol

3 0

3 years ago

Read 2 more answers