Answer:
<h2>The graph is translated left 5 units, compressed vertically by a factor of 5, and translated up 3 units.</h2>
Step-by-step explanation:
The initial function is
The transformed function is
Notice that the first function represents a parabola with vertex at (1, -3), and the secong function represents a parabola with vertex at (-4, 0). That means the function was shifted three units up and 5 units to the left. Additionally, the function was compressed by a scale factor of 5, because that's the coffecient of the quadratic term.
Therefore, the right answer is the first choice.
Answer:2
Step-by-step explanation:
I believe the answer is 2 4/9
Answer:
The total length of string needed for 17 identical decorative bottles is 35.70 meters
Step-by-step explanation:
Let us solve the question
∵ String A is 35 centimeters long
∵ String B is 5 times as long as String A
→ Multiply the length of A by 5 to get the length of B
∴ The length of string B = 35 × 5 = 175 cm
∵ Both are necessary to create a decorative bottle
∴ The length needed for 1 bottle = 35 + 175 = 210 cm
∴ Each bottle needs 210 cm to be decorated
∵ There are 17 identical bottles
→ Multiply the length needed for 1 bottle by 17
∴ The total length needed = 17 × 210 = 3570 cm
∴ The total length needed to decorate 17 bottles is 3570 cm
∵ 1 meter = 100 centimeter
→ Divide the total length by 100 to express it in meters
∴ 3570 cm ÷ 100 = 35.70 m
The total length of string needed for 17 identical decorative bottles is 35.70 meters
Answer:
4
Step-by-step explanation:
h(7)= 7²-1= 49-1= 48
f(h(7))= 48/3 -12
= 16-12
= 4
