Answer:
17/3
Step-by-step explanation:
to find out the width, we need to divide the area by the length.
68/12=5.666666667
fraction form: 17/3 (5 2/3)
Answer:
A) 4x+3y=14
B) 3x-2y=2
We multiply equation A) by (2/3)
A) (8/3) x +2y = 28/3 then we add this to equation B)
B) 3x-2y=2
5 (2/3) x = 11 (1/3)
x = 2
A) 4 * 2 + 3 y = 14
A) 3y = 6
y = 2
Step-by-step explanation:
Answer: 32 kilograms
Step-by-step explanation:
Cross multiply and divide.
20/5
x/8
The answer should be 32.
When x = 0, the value of f(x) is 2. You can see why below
f(x) = (2^x) + 1
f(0) = (2^0) + 1
f(0) = 1+1
f(0) = 2
So the point (0,2) is on the curve. This is visually shown as the y intercept (the location where the curve crosses the y axis)
When x = 2, the value of f(x) is 5
f(x) = (2^x) + 1
f(2) = (2^2) + 1
f(2) = (4) + 1
f(2) = 5
So (2,5) is another point on this curve
Find the slope of the line through these two points
m = (y2 - y1)/(x2 - x1)
m = (f(2) - f(0))/(2 - 0)
m = (5 - 2)/(2 - 0)
m = 3/2
m = 1.5
The slope as a fraction is 3/2
The slope as a decimal is 1.5
So the rate of change is 1.5
Answer:
$125,000.12 last year
$375,000.36 this year
Step-by-step explanation:
Last year, her profits were x.
This year, the profits are three times greater, so they are 3x.
Altogether for both years, the profits are x + 3x = 4x.
The profits for both years combined are $500,000.48
4x = 500,000.48
Divide both sides by 4.
x = 500,000.48/4
x = 125,000.12
The profits last year were $125,000.12
This year, the profits were 3x = 3(125,000.12) = 375,000.36, or $375,000.36
