Answer:
h(d) = (17/3249)(-d² +114d)
Step-by-step explanation:
For this purpose, it is convenient to translate and scale a quadratic parent function so it has the desired characteristics. We can start with the function ...
f(x) = 1 -x² . . . . . . . has zeros at x = ±1 and a vertex at (0, 1)
We want to horizontally expand this function by a factor of 57, so we can replace x by x/57. We want to vertically scale it by a factor of 17, so the vertex is at (0, 17). Finally, we want to translate the function 57 m to the right, which requires replacing x with x-57. After these transformations, we have ...
f(x) = 17(1 -((x-57)/57)²) = (17/3249)(-x²+114x)
Using the appropriate function name and variable, we have ...
h(d) = (17/3249)(-d² +114d)
Jupiter orbits five times farther from the sun than earth, saturn is twice as far from the sun than jupiter
Answer: the predictive value positive of the test is 0.7
Step-by-step explanation:
Given that;
Predicted
Diesease No-Diesease Tt
Actual Diesease 225 75 300
No-Diesease 25 175 200
250 250 500
so finding the predictive value positive of the test,
predictive negative value = (175 / (75+175) )
= 175 / 250
= 0.7
Therefore the predictive value positive of the test is 0.7
-7a^2 because 3a-3a=0, the second set of terms can be simplified as -7a^2
Answer:
175 inches, 14.58 ft
Step-by-step explanation:
Length of blue rope = 6 yards
also Length of blue rope = length of red rope * 3
=> 6 yards = length of red rope * 3
=> length of red rope = 6/3 = 2 yards
____________________________________
length of yellow rope = 2feet 7 inches shorter than red rope
1 yard = 36 inch
length of red rope in inches = 2 *36 = 72 inches
1 feet = 12 inches
difference of yellow and red rope in inches = 12* 2 + 7 = 31
length of yellow rope in inches = 72 inches -(12* 2 + 7 )= 72-31 = 41 inches
length of blue rope in inches = 36*6 = 216 inches
difference in length between the blue rope and the yellow rope = 216 - 41
= 175 inches
difference in length between the blue rope and the yellow rope in feet = 175/12 = 14.58 ft
