Answer:
6x+4
Step-by-step explanation:
First thing to do is distribute 1/4 into the parenthesis. So 1/4 times 8x and 16. Which will give you 2x and 4. Then add like terms which will be 2x + 4x which is 6x. Then you have the 4 left over so your new equation is 6x+4.
The range of the function is all real number values of y except y = 0.
Ordered pairs in the graph includes (-4, -0.5), (-2, -1), (-1, -2), (1, 2)
Acceleration is the answer
Answer! :
y = -2x + 5
Step by Step! :
slope intercept form:
y = mx + b
m being slope, b being the y intercept.
To find the slope, use this equation:
y^2 - y^1 / x^2 - x^1
Plug in your points.
(-1) - (7) / (3) - (-1)
-8 / 4
-2 is your slope! (y = -2x + b)
To solve for b, plug in any one of your points and solve for b. Let's use (3, -1)
-1 = -2(3) + b
-1 = -6 + b
5 = b
Your new equation is...
y = -2x + 5
For similar triangles, the ratio of the corresponding sides are equal. To determine the common ratio, we take the square root of the ratio of the given areas.
ratio = sqrt (384 / 1057)
ratio = 384/1057
Then, for the volume, we have to cube the ratio calculated above. If we let x be the value of the volume of the smaller solid.
(384/1057)^3 = x/1795
x = 86 yd
Thus, the volume of the smaller figure is 86 yd³.