9514 1404 393
Answer:
(x, y') = (-13, 13)
Step-by-step explanation:
At the given value of x, f(x) = 2. Then 9f(x)-5 = 9(2) -5 = 13.
The point on the scaled, translated graph will be ...
(x, y') = (-13, 13)
_____
The graph shows a function f(x) with a distinct feature (vertex) at (-13, 2). It also shows where that distinct feature moves to when the function is scaled and translated.
#1 - a) 11.4018
#2 - d) 7.62
#3 - a) 10.7238
#4 - b) 6.57
Explanation
#1 - The initial guess is 11.4022. We first divide 130 by this guess:
130÷11.4022 = 11.40130852
We now average this number with the initial guess:
(11.40130852 + 11.4022)/2 ≈ 11.4018
#2 - The initial guess is 7.8. We divide 58 by this guess:
58÷7.8 = 7.435897436
We now average this number with the initial guess:
(7.435897436 + 7.8)/2 = 7.617948718 ≈ 7.62
#3 - The initial guess is 10.7262. We divide 115 by this guess:
115÷10.7262 = 10.72141112
We now average this number with the initial guess:
(10.72141112 + 10.7262)/2 = 10.72380556 ≈ 10.7238
#4 - The initial guess is 6.9. We divide 43 by this guess:
43÷6.9 = 6.231884058
We now average this number with the initial guess:
(6.231884058+6.9)/2 = 6.565942029 ≈ 6.57
Answer: The length of JF = 16 units.
Step-by-step explanation:
Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.
i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]
If EJ is 3y-8 and JF is 7y-40.
Then, 
![\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}](https://tex.z-dn.net/?f=%5CRightarrow%5C%207y-3y%3D40-8%5C%5C%5C%5C%5CRightarrow%5C%204y%3D32%5C%5C%5C%5C%5CRightarrow%5C%20y%3D8%20%5Ctext%7B%20%5BDivide%20both%20sides%20by%204%5D%7D)
JF= 7(8)-40 =56-40= 16 units
Hence, the length of JF = 16 units.
63.4 pounds of tomatoes were used in each batch. You have to find the unit rate. Divide 396.25 by 6.25, and you get 63.4.
hope this helps:)
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