Answer:
The value of g(x) at x = -3 is 18.
Step-by-step explanation:
Here, the given function is:
g(x) = - 5 x + 3
Now, for the value of x = -3 ,
g (-3) : Substitute the value of x = -3 in g(x) , we get
g (-3) = -5 (-3) + 3
= 15 + 3 = 18
or, g ( -3) = 18
Hence, the value of g(x) at x = -3 is 18.
Answer:
Equation of circle:
(x-10)² + (y+8)² = 36
Step-by-step explanation:
Given that,
Center of the circle is (10, -8)
and diameter = 12
We know that radius is half of the diameter.
So, radius (r) =
= 6
Now we have standard form of circle :
(x - h)² + (y - k)² = r²
Where (h,k) is the center of circle and r is the radius.
Now put the value of h, k and r in circle's equation
h =10
k = -8
r = 6
Equation of circle:
(x-10)² + (y+8)² = 36
That's the final answer.
I hope it will help you.
Answer:
D. (4, 5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = x + 1
y = 1/2x + 3
<u>Step 2: Solve for</u><u><em> x</em></u>
- Substitute in <em>y</em>: x + 1 = 1/2x + 3
- Subtract 1/2x on both sides: 1/2x + 1 = 3
- Subtract 1 on both sides: 1/2x = 2
- Divide both sides by 1/2: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x + 1
- Substitute in <em>x</em>: y = 4 + 1
- Add: y = 5
<u>Step 4: Graph</u>
<em>We can confirm our answer.</em>
9514 1404 393
Answer:
- common denominator: (x² -4)
- simplified complex fraction: (2x +1)/(9 -2x)
Step-by-step explanation:
It is helpful to remember the factoring of the difference of squares:
a² -b² = (a -b)(a +b)
__
Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.
It looks like you want to simplify ...

Answer
21/2:3 and 16:6 are not equivalent