Answer:
(a) 0.4
(b) a = 3
Step-by-step explanation:
(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)
(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.
Answer:
around 66.66
Step-by-step explanation:
hope this helps
Answer:
y = x - 13
Step-by-step explanation:
Given parameters:
Slope of the line = 1
Coordinate = (18, 15)
Unknown:
Equation of the line in slope-intercept format = ?
Solution:
The equation of a line is expressed as;
y = mx + c
where y and x are the coordinates
m is the slope
c is the y-intercept
Now, sine x = 18 and y = 5, let us find c;
5 = 1(18) + c
5 = 18 + c
c = -13;
The equation of the line is;
y = 1(x) + (-13)
y = x - 13
Basically, the frog only jumps two feet every time, so he would need 8 jumps, because there was still that extra 1/2 of a foot.
Factorise x^2+6x+8=0 to get (x+4)(x+2)=0
Solve to get x=-4, x=-2
Factorise x^2+6x+13=0 (I assumed you mistyped and wrote * instead of +)
Use the quadratic formula and you find that there are no real roots so the answer for this is just x=-4, x=-2
Tell me if I made any mistakes
