Answer:
C.
Step-by-step explanation:
3.3*10^3 / 7
= 3300/7
= 471.4
= 4.71*10^2
Answer:
p = 25,20 cm
h = 34,32 cm
A(min) = 864,86 cm²
Step-by-step explanation:
Let call p and h dimensions of a poster, ( length , and height respectively) and x and y dimensions of the printed area of the poster then
p = x + 8 and h = y + 12
Printed area = A(p) = 384 cm² and A(p) = x*y ⇒ y = A(p)/x
y = 384 / x
Poster area = A(t) = ( x + 8 ) * ( y + 12 ) ⇒ A(t) = ( x + 8 ) * [( 384/x ) + 12 ]
A(t) = 384 + 12x + 3072/x + 96 A(t) = 480 + 3072/x + 12x
A(t) = [480x + 12x² + 3072 ] / x
A´(t) = [(480 + 24x )* x - (480x + 12x² + 3072]/x²
A´(t) = 0 [(480 + 24x )* x - 480x - 12x² - 3072] =0
480x + 24x² -480x -12x² - 3072 = 0
12x² = 3072 x² = 296
x = 17,20 cm and y = 384/17,20 y = 22,32 cm
Notice if you substitu the value of x = 17,20 in A(t) ; A(t) >0 so we have a minimun at that point
Then dimensions of the poster
p = 17,20 + 8 = 25,20 cm
h = 22.32 + 12 =34,32 cm
A(min) = 25,20 *34.32
A(min) = 864,86 cm²
Answer:
g(f(x)) = 2x - 2
Step-by-step explanation:
to evaluate g(f(x)) substitute x = f(x) into g(x)
g(f(x)) = g(2x + 1) = 2x + 1 - 3 = 2x - 2
Answer:
x=6
Step-by-step explanation:
x+1
-------
x-6
The expression is undefined when the denominator is zero
x-6 =0
Solving for x
x+6-6 =0+6
x=6
Answer:
Step-by-step explanation:
The equation of a line
y = mx + c
y - intercept point y
m - slope of the line
x - intercept point x.
c - intercept of the line
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( -7 , -7) ( -7 , 4)
x1 = -7
y1 = -7
x2 = -7
y2 = 4
Insert the values into the equation
m = 4 - (-7) / -7 -(-7)
m = 4 + 7 / -7 + 7
m = 11/ 0
Step 2: sub any of the two points given into the equation
y= mx + c
y = 11/0x + c
(-7 ,4 )
x = -7
y = 4
4 = 11/0(-7) + c
4 = -77/0 +c
-77/0 is math error which means that the points are not correct
