Answer:
the sum is -4
Step-by-step explanation:
<span>2x^2 - 19x - 33 = 0 </span>
<span>The factors of 2 are 1 x 2. </span>
<span>The factors of 33 are 1 x 33 and 3 x 11. </span>
<span>Using Guess and Test and FOIL, find a combination that gives you a middle term of -19x: </span>
<span>(2x + 3)(x - 11) = 0. </span>
<span>Using the principal of zero product, solve each equation for x: </span>
<span>2x + 3 =0 and x - 11 =0. </span>
<span>The two solutions are x = -3/2 and x = 11.
</span>
Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)
Answer:
2nd option
Step-by-step explanation:
given an exponential function in the form y = a
to find a and b use the coordinate points it passes through
using (0, 4 ) , then
4 = a
[ = 1 ] , that is
a = 4 , so
y = 4
using (2, 100 )
100 = 4b² ( divide both sides by 4 )
25 = b² ( take the square root of both sides )
= b , that is
b = 5
then exponential function is
y = 4 . 
Answer:
C
Step-by-step explanation:
over the interval [-1,1], f(x) is greater than 0
