Answer:
Step-by-step explanation:
No, thoose two ratios are not equivalent, but I can show you the ones that are equivalent, {You can write 5/7 or 10/14 or 20/28 or 40/56. There! 3 equivalent ratios.}
Answer:
Step-by-step explanation:
Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;
The standard equation of a line is y = mx+c
m is the slope
c is the intercept
Get the slope;
m = Δy/Δx = y2-y1/x2-x1
m = -10-(-3)/7-6
m = -10+3/1
m = -7
Get the intercept;
Substitute the point (6, -3) and m = -7 into the expression y = mx+c
-3 = -7(6)+c
-3 = -42 + c
c = -3 + 42
c = 39
Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c
y = -7x + 39
Hence the required equation is y = -7x + 39
Answer:
x = - 7
Step-by-step explanation:
( x + 139 ) and 132 are vertically opposite angles.
Vertically opposite angles are equal,
x + 139 = 132
x = 132 - 139
x = - 7
Answer: 1/6
Reason:
There's 1 side labeled "4" out of 6 sides total. So that's where the 1/6 comes from.
The "given that you already rolled a four on the first die" is unneeded info in my opinion, because each die is separate or independent from one another.
Average rate of change can be calculated by determining the
rate of change at x = a, and at x = b
f’(x) =2 (3^x) ln(3)
f’(0) = 2 ln(3)
f’(1) = 6 ln(3)
f’(2) = 18 ln(3)
f’(3) = 54 ln(3)
Average:
at section A = [6 ln(3) – 2 ln(3)]/1 = 4 ln(3)
at section B = [54 ln(3) – 18 ln(3)]/1 = 36 ln(3)
section B is 9 times larger.
Based from the f’(x), f’(x) varies as the power of x. so the
greater of value of x, the greater the rate of change.
