x² + 10x = 26
x² + 10x + 25 = 26 + 25
x² + 5x + 5x + 25 = 51
x(x) + x(5) + 5(x) + 5(5) = 51
x(x + 5) + 5(x + 5) = 51
(x + 5)(x + 5) = 51
(x + 5)² = 51
x + 5 = ±√(51)
- 5 - 5
x = -5 ± √(51)
x = -5 + √(51) or x = -5 - √(51)
Answer:


Step-by-step explanation:
step 1
Find the equation of the solid line
From the graph take the points (0,3) and (4,11)
Find the slope

The equation of the solid line in slope intercept form is equal to

we have

----> the y-intercept is the point (0,3)
substitute

therefore
The inequality is

step 2
Find the equation of the dashed line
The slope is given

From the graph take the y-intercept (0,-5)
The equation of the solid line in slope intercept form is equal to
we have

substitute

therefore
The inequality is

because the shaded region is below the dashed line
therefore
The system of inequalities is


Answer:
This system has no solutions.
Step-by-step explanation:
If we try to solve:
- 5x + 8 = 5x + 3
- 5x + 8 - 3 = 5x
- 5x + 5 = 5x
- 5x - 5x + 5 = 5x - 5x
- 5 = 0
Since there are no x values left over and the remaining solution is zero, there is no solution for this equation.
Hope this helps!!
Answer:
B) 0.0625
Step-by-step explanation:
f(x) = k / x
f(x)=0.5 when x = 0.3
f(x) = k / x
0.5 = k / 0.3
Cross product
0.5 * 0.3 = k
k = 0.15
What is f(x) when x = 2.4?
f(x) = k / x
f(x) = 0.15 / 2.4
f(x) = 0.0625
The answer is B) 0.0625
Maybe B (not sure).................