Answer:
8409 es 8×10³ es 8 4×10² es 4 0×10¹ es 4 9×10⁰ es 9
Answer:
Minimum value of function
is 63 occurs at point (3,6).
Step-by-step explanation:
To minimize :

Subject to constraints:

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line
Eq (2) is in green in figure attached and region satisfying (2) is below the green line
Considering
, corresponding coordinates point to draw line are (0,9) and (9,0).
Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line
Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)
Now calculate the value of function to be minimized at each of these points.

at A(0,9)

at B(3,9)

at C(3,6)

Minimum value of function
is 63 occurs at point C (3,6).
Answer:
a) 
b) -4.99
d) 1.9435
Step-by-step explanation:
We are given certain rule to identify number. We have to identify from the entries that can be interpreted as numbers.
a) 1.56e-9
This a number as there are no spaces, no comma, no units.
b) -4.99
This a number as there are no spaces, no comma, no units.
c) 40O0
This is not a number as 0 is substituted by O.
d) 1.9435
This a number as there are no spaces, no comma, no units.
e) 1.56 e-9
This is not a number as it contains a space.
f) $2.59
This is not a number as it contains a dollar sign.
g) 3.25E4
This is not a number as it contains alphabet.
h) 5,000
This is not a number as there is a comma in the given.
i) 1.23 inches
This is not a number as it contains a unit.
6x - 6 - 7x = -13/2
Multiply both sides by 2:
12x - 12 - 14x = -13
Simplify:
-2x - 12 = -13
Add 12 to both sides:
-2x = -1
Divide both sides by 2:
-x = -1
Change to a positive value of x:
x = 1
Answer:
The required equation of the line is:

Step-by-step explanation:
Given the equation

comparing the equation with the slope-intercept form

Here,
so the slope of the line is -4.
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 1/4
Therefore, the point-slope form of the equation of the perpendicular line that also intersects the point (8, 1) is:


add 1 to both sides

