Answer:
Step-by-step explanation:
Compare the corresponding points, the best is vertices
- y = h(x) ⇒ (- 2, - 7)
- y = g(x) ⇒ (5, - 2)
Find the difference of coordinates, the rule of translation right and up
- x = 5 - (-2) = 7
- y = - 2 - (- 7) = 5
<u>The formula of g(x) in therms of h(x) is:</u>
So we need to move that 3x over to get -3x+y=1 (subtract 3x from both sides)
We can form a ratio equation. the ratio would be the amount of original apples to the cost versus the new amount of apples and new cost. we know all amounts except original cost.
pounds/cost = new pounds/new cost
9/x = (3/4)9 / 15
9/x = (27/4) / 15
9/x = 27/60
9/x = 9/20
cross multiply
9x = 180
x = 20
Answer:
dx/dy = (x^4 - 2x^5y - 6xy^2) / (5x^4y^2 - 4x^3y + 2y^3).
Step-by-step explanation:
x^5y^2 − x^4y + 2xy^3 = 0
Applying the Product and Chain Rules:
y^2*5x^4*dx/dy + 2y*x^5 - (y*4x^3*dx/dy + x^4) + (y^3* 2*dx/dy + 3y^2*2x) =0
Separating the terms with derivatives:
y^2*5x^4*dx/dy - y*4x^3*dx/dy + y^3* 2*dx/dy = x^4 - 2y*x^5 - 3y^2*2x
dx/dy = (x^4 - 2x^5y - 6xy^2) / (5x^4y^2 - 4x^3y + 2y^3)
Answer:
an elephant can run 25 miles per hour
Step-by-step explanation:
60 minutes x 60 seconds = 3,600 seconds in an hour
3600 / 36 = 100
100 x .25 = 25 miles an hour
