Answer:
6( 5 + 2x )
Explanation:
30 = 2 x 3 x 5
12x = 2 x 2 x 3 x X
THE COMMON FACTOR IS 2 & 3
SO this is the answer
Hope this helps :)
Answer:
g(x) = 2x² + 1
Step-by-step explanation:
The parabola got thinner, so to show that, you put a 2 <u><em>before</em></u> x²<em> </em>to show that the graph was <em>dilated </em>(or thinned) by a factor of <em>2 </em>(Note: this number can also be <em>negative</em>, so if the dilation factor is negative, it's okay). Since the parabola shifts up by <em>1</em>, you then add + 1<em> </em><em><u>after</u></em> x² to show the positive upward shift.
Your full equation would look like this: g(x) = 2x² + 1
Dilation: this just means that every point on the parent function was double (or whatever the factor is) in the transformed function.
Answer:
the answer is 3/2
Step-by-step explanation:
the formula of the slope is
Answer: the length of one edge of the square base of the second container is 6 inches.
Step-by-step explanation:
The formula for determining the volume of a rectangular container is expressed as
Volume = length × width × height
Considering the first container,
Length = 12 inches
Width = 8 inches
Height to which the water is filled is 6 inches.
Therefore, volume of water in the container is
12 × 8 × 6 = 576 inches³
Considering the second container,
Height of water = 16 inches
Let L represent the length of the square base. Then the area of the square base is L²
Volume of water would be 16L²
Since the water in the first container was poured into the second container, then
16L² = 576
L² = 576/16 = 36
L = √36
L = 6 inches
