Answer:
FIRST EXPRESSION:
- If 
, the value of 
is 
- If 
, the value of is 
- If 
, the value of is 
SECOND EXPRESSION:
- If , the value of 
is 
- If , the value of is 
- If , the value of is 
Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.
Step-by-step explanation:
Substitute the given values of "b" into each expression and evaluate.
- For the first expression , you get:
If → 
If → 
If → 
- For the second expression , you get:
If → 
If → 
If → 
You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.
Answer:
Step-by-step explanation:
7a-10c-2a-0.5c+5
5a-10.5c+5
it is your first choice
Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.
When written in standard form, you have to order each term from the highest degree to the lowest degree.
b. x^4y² + 4x²y + 8x is your answer.
hope this helps, God bless!
Answer:
$11,714
Step-by-step explanation:
C(x) = 0.7x² - 462x + 87,944
this is a quadratic equation that opens up
the vertex will be the minimum
From the quadratic formula the x coordinate of the vertex is
x = -b/2a
x = 462/(2 * 0.7)
x = 330
Plug in
c(330) = 0.7(330²) - 462(330) + 87,944
c(330) = 11,714
$11,714
