Answer:
Translated 5 units right
g(x) = 2x - 4
Step-by-step explanation:
The original equation had a y-int of 6, but g(x) has a y-int of -4. Moving the line 5 units to the right will move the y-int down 10 units due to the positive slope of 2, so the translation is 5 units right.
The line shown still has a slope of 2 and a y-intercept of -4, so using the equation y = mx + b, g(x) = 2x - 4.
The <em><u>correct answer</u></em> is:
639.4 minutes.
Explanation:
Saturn takes 10 hours, 39 minutes and 24 seconds to make a complete rotation.
10 hours × 60 minutes per hour = 600 minutes.
600 minutes + 39 minutes = 639 minutes.
24 seconds out of 60 seconds per minute = 24/60 = 0.4.
This gives us 639+0.4 = 639.4 minutes.
Answer:
d = 2(40.11 cm) = 80.22 cm
Step-by-step explanation:
The formula for volume of a sphere is V = (4/3)πr³
and here V = (4/3)πr³ = 2145 cm³
Let's simplify this equation by multiplying both sides by (3/4); this will cause (4/3) to disappear:
(3/4)(4/3)πr³ = (3/4)2145 cm³, or
r³ = 1608.75 cm³
Taking the cube root of both sides, we get:
r = 40.11 cm
Remembering that diameter = 2 times radius, we calculate the diameter:
d = 2(40.11 cm) = 80.22 cm
Its 0.5793 with the bar over the 3
Answer:
x = -0.4
Step-by-step explanation:
We have the equation:
-9x + 0.4 = 4
First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:
Now, we have all the constants on the right side of the equation.
Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:
<h3>Thus, the answer to this equation is x= -0.4</h3>
