Answer:
Step-by-step explanation:
First, multiply the two denominators together to get the shared denominator, which will allow you to actually subtract the two numbers. 4 × 8 = 32, so the shared denominator will be 32.
Then, cross-multiply. 11 × 8 = 88, so 
becomes 
. 3 × 4 = 12, so 
becomes 
.
Now, you can subtract. 
Finally, simplify. 
. The final difference is .
Simply take the derivative of s(t),
s'(t) = -6
Since the velocity is constant, v(t) = s'(t) = -6 at any given time t.
Answer:
y = .25x + 2.5
Step-by-step explanation:
First find the slope which is m in y = mx + b. y = mx + b is the standard form for a line.
m = (y₂-y₁)/(x₂-x₁)
m = (3-1)/(2+6)
m = 2/8
m = 1/4
Plug that in.
y = 1/4x + b
To find b plug in one of the two points and solve.
3 = 1/4(2) + b
3 = 1/2 + b
3 - 1/2 = 1/2 - 1/2 + b
2.5 = b
Use the formula for the area of a parallelogram:
Plug in what we know:
Convert both of them into improper fractions. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:
Now multiply the numerators and denominators together:
Convert it back into a mixed number. 14 goes into 555 thirty-nine times. 14 * 39 = 546. 555 - 546 = 9. So we have 39 wholes and 9 left over, or:
So this is the area of the parallelogram.
x = number of packages he bought
y = number of popsicles in each package
Here are the two equations:
xy = 54
x = 3 + y
Using the substitution method, you can solve them to find x and y.
(3 + y)y = 54,
3y + y^2 = 54
y^2 + 3y - 54 = 0
Solve the quadriatic equation:
(y +9)(y - 6) = 0
y = -9, 6.
Plug y into: xy = 54
x(-9) = 54, x = -6.
x(6) = 54, x = 9.
So he bought 9 packages of popsicles, bc you can't bye -6 packages.
