X + 4 = 4x + 2
let’s put the x’s on one side and the numbers on the other
(whatever you do to one side, you have to do to the other)
x + 4 = 4x + 2
- 4 - 4x
x - 4x = 2 - 4
-3x = -2
—— ——
-3 -3
x = 2/3
to check this, we can put 2/3 in for x
(2/3) + 4 = 4(2/3) + 2
4 2/3 = 8/3 + 2
4 2/3 = 2 2/3 + 2
and there we can see both sides equal 4 and 2/3, making it true
If we just have
that's an amplitude of 1 and a period of
Let's modify this step by step.
Amplitude of 4. Four times the amplitude means a factor of 4 on the outside.
Period of π. Double the period means a factor of 2 on the inside.
Horizontal shift of π/2 to the left. To the left means adding a positive number to x. The question appear ambiguous. It's not clear to me if we add to x or 2x; let's make it
Vertical shift of 3:
Depending on the interpretation of the phase shift, that pi may be a pi/2.
Answer:
9.5 divided into 12 get you the amount of miles per minute
then multiplying that answer by 60 to get the hours gets you the final answer
so 9.5/12 then X 60 = 47.5 miles/hour
Volume of a cone equation 3.14( r^2) h/3
3.14(3^2)6/3
56.52
Answer:9/4
Step-by-step explanation:
3/4 + (1/3/1/6) - (1/2)
3/4 + (1/3 ➗ 1/6) - 1/2
3/4 + (1/3 x 6/1) - 1/2
3/4 + ((1x6)/(3x1)) - 1/2
3/4 + (6/3) - 1/2
3/4 + 2 - 1/2
(3+8-2)/4
9/4