Answer:
maximum value y = 30
Step-by-step explanation:
Given
- x² + 10x + 5
To complete the square the coefficient of the x² term must be 1
factor out - 1
= - (x² - 10x) + 5
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 10x
= - (x² + 2(- 5)x + 25 - 25) + 5
= - (x - 5)² + 25 + 5
= - (x - 5)² + 30 ← in vertex form
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Hence vertex = (5, 30)
The max/ min occurs at the vertex
Since a < 0 then vertex is a maximum
Hence maximum value is y = 30
447/250
is the answer to the question
The perimeter is the sum of side lengths. Opposite sides of a rectangle are the same length, so the perimeter is
P = 11 +43 5/12 +11 +43 5/12
= 2(11 +43 5/12)
= 2(54 5/12)
P = 108 5/6 . . . . feet
The area is the product of length and width. It doesn't matter which of the given dimensions you consider length or width, since you multiply them either way.
A = 11 * 43 5/12
= 473 +55/12
A = 477 7/12 . . . . square feet
We have the Y-Intercept and the X-Intercept
The Y-Intercept implies that the X variable is set to zero and the X-Intercept implies that the Y variable is set to zero when solving equations of a line.
Answer:
y = - 
x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line
m = 
= -
Note the line crosses the y- axis at (0, 4) ⇒ c = 4
y = - x + 4 ← equation of line
