Answer:
<span>y=4.98</span>
Explanation:
First, find the constant of proportionality , k.
<span>y=kx</span>
<span>21=7k</span>
<span>k=3</span>
We now start over and solve for y using the new value of x and the obtained value of k.
<span>y=<span>(3)</span><span>(1.66)</span></span>
<span>y=<span>4.98</span></span>
Answer:
- 2 / 7
Step-by-step explanation:
Let,
x1 = 7
x2 = 14
y1 = 2
y2 = 0
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 0 - 2 ) / ( 14 - 7 )
= - 2 / 7
Answer:
Step-by-step explanation:
Equation of the function is,
f(x) = 2x² + 20x + 54
To convert the function in the form of f(x) = a(x - h)² + k
f(x) = 2(x² + 10x) + 54
= 2[x² + 2(5x) + 25 - 25] + 54
= 2[x² + 2(5x) + 5²] + 54 - 50
= 2(x + 5)² + 4
= 2[(x - (-5)]² + 4
Vertex of the quadratic equation (parabola) will be (-5, 4)
Therefore, f(x) has a minimum value at x = -5,
f(-5) = 4
"The function f(x) has a minimum value of 4, which occurs when x = 5"
Answer: 15.3 (with a repeating bar over the 3)
Answer: 0.25 as a decimal
