Answer:
x ≈ 6.5
Step-by-step explanation:
We have the epresion
and we want to find the value of
.
Let's do it step-by-step
Step 1. Multiply both sides of the equation by 20



Step 2. use the reflexive property of equality: if
then 


Step 3. Using a calculator we get that
. Replacing that value we get

x ≈ 6.5
We can conclude that the value of x is approximately 6.5
Answer: a
Step-by-step explanation:
The graph has a vertex at x=3, so eliminate d and e.
The graph's vertex is at x=1, so eliminate c.
The graph opens upward, so eliminate b.
Answer:
Compare x^2 +y^2-8x-6y=75 with the general circle equation x^2+y^2 -2ax-2by+c=0
-2a =-8 And -2b=-6
a=4 b=3
c=-75
To find the radius use the equation
r^2=a^2+b^2-c
r^2=4^2+ 3^2-(-75)
r^2=25+75=100
r=10(radius is always positive)
Hence the center is (4,3) and radius 10
Step-by-step explanation:
Answer:
256.4
Step-by-step explanation:
Answer:
The y-int represents the base price of $200 for airfare from NYC
The slope represents a cost of 30 cents per mile traveled
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x
If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x