Answer:
Option C is correct i.e. 2.
Step-by-step explanation:
Given the function is f(x) = x² +8x -2.
We can compare it with general quadratic expression i.e. ax² +bx +c.
Then a = 1, b = 8, c = -2.
We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-
D = b² -4ac
D = 8² -4*1*-2
D = 64 +8
D = 72.
When D is a positive value, then we have two real roots of the equation.
Hence, option C is correct i.e. 2.
Answer for problem 1: slope = 2, y intercept = 3
Answer for problem 2: slope = 3/4, y intercept = -2
Explanation:
Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).
Answer:
Step-by-step explanation:
Volume of cone = 
Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius
= 
= 
Surface area of cone including 1 base = 
Since r = h
So, area = 
= 
= 
Ratio of volume of cone to its surface area including base :
Rationalizing
Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is
Answer:
-17
Step-by-step explanation:
first find g(5) = -2(5)+5 = -5
then f(-5) = 4(-5)+3 = -17
3/4 is greater than 1/2
7/10 is greater than 5/10
and 3/8 is less the 4/8 (4/8=1/2)
