Answer:
x-2y=4
Step-by-step explanation:
So from the question we know the following:
When something is x intercept it means y=0 so we have (4,0)
When something is y intercept it means x=0 so we have (0,-2)
Now you use these to find the slope using the formula m= (y2-y1)/(x2-x1)
Plug in the values
m= (-2-0)/0-4)
m=(-2/-4)
m= 1/2
x-2y=4
Now you just plug this in slope intercept form y=mx+c, where c is y intercept
y=1/2 x -2
Standard form: ax+by=c
y=1/2 x -2 (rearrange to match the above equation)
-1/2 x +y =-2 (multiply both sides by 2 because we can't have a fraction for a in the standard form)
-1x+2y=-4 (now multiply both sides by -1 because a cannot be negative)
x-2y=4
V(t) = πr^2h
V'(t) = π(2rr'h + r^2h')
V'(t) = π(2(5)(-2)(7) + 5^2(8)
V'(t) = π(-140 + 200)
V'(t) = 60π in^3
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

Find the intercepts
<u>The y-intercept</u> is the value of y when the value of x is equal to zero
so
For x=0 -----> 
The y-intercept is the point (0,-1)
<u>The x-intercept </u>is the value of x when the value of y is equal to zero
so
For y=0 ----->
----->
The x-intercept is the point (-1,0)
<em>Find the domain</em>
we know that
The radicand must be positive
so


All real numbers greater than or equal to -1
The range is all real numbers less than or equal to -1
using a graphing tool
see the attached figure
Answer:
-1/6 and 1 1/6
I included an image showing the points to select, in red and the point we start at, in blue.
Step-by-step explanation:
We need to get the numbers they tell us (2/3 & 1/2) to have the same denominators as the numbers on the number line before we can start.
1/2 is just the simplified form of 3/6 and 2/3 is just the simplified form of 4/6.
So 1/2 is actually 3/6 on the number line.
Now we need to find the numbers that are 2/3 (or 4/6) unit away from 3/6.
Count 4 units to the right and 4 to the left of 3/6 to get the numbers we are looking for.
These numbers are -1/6 and 1 1/6
I hope this helps!!
Lmk if u have any questions! :)
Pic is attached below.
Answer:
44. f(x) = x/(x2 * 1) 1 45. f(x) = 3x15 * 5x3 + 3 46. f(x) = x + — x 47. (a) Use a graphing calculator or computer to graph the function f(x) = x4 * 3x3 * 6x2 + 7x + 30 in the viewing 1 l3. F(x)=(%x)5 ... t 3|. '=* 32. = > 1) y (t*1)2 t2+2 r=\/Y 33. '= 34.
Step-by-step explanation: