Answer:
{ - 1, 1, 7, 23 }
Step-by-step explanation:
To find the range substitute the values from the domain into g(x)
g(-2) = -2(- 2) + 3 = 4 + 3 = 7
g(- 10) = - 2(- 10) + 3 = 20 + 3 = 23
g(1) = - 2(1) + 3 = - 2 + 3 = 1
g(2) = - 2(2) + 3 = - 4 + 3 = - 1
Range is { - 1, 1, 7, 23 }
Answer:




Step-by-step explanation:
<u>Given information</u>



<u>Derived expression from the given information</u>
<em>Presumably, I think this is a combination of segments</em>

<u>Substitute values into the given expression</u>

<u>Combine like terms</u>
<em>The following is the expression</em>

<u>Subtract 3 on both sides</u>


<u>Subtract x on both sides</u>


<u>Substitute the x value into corresponding expressions to determine the final value</u>


Hope this helps!! :)
Please let me know if you have any questions
The equation of a circle is (x-h)²+(y-k)²=r², with h being the x value in the center, k being the y value, and r being the radius. x and y can stay variables, so we can plug numbers in to get (x-0)²+(y-3)²=5²=25=x²+(y-3)²
Answer:
R = 4cm
Step-by-step explanation:
V = π(R)²h = 480π
Divide by π
(R)²h = 480
Substitute h with 30
30*(R)² = 480
Divide by 30
(R)² = 16
Square root
R = 4cm
We do not accept R= -4 because it's a length, so it must be positive.