Answer:
![g(x)=\sqrt[3]{x-3}+4](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7Bx-3%7D%2B4)
Step-by-step explanation:
The function g(x) is a shifted version of the function f(x); f(x) is shifted by 3 along x-axis and by 4 along y-axis.
Another way of thinking about this is that the function g(x) contains points (3, 4); therefore,
which goes through the point (3, 4).
Answer:
-1/2
negative
Step-by-step explanation:
Answer:
For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.
For the "Standard" column, it will be
7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get
y = -7/2x + 3.)
For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵
<em>This is the point-slope formula.⤵⤵⤵</em>

For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.
So we have: y - (-4) = -7/2(x-2).
In other words, "Point Slope" would be
y + 4 = -7/2(x-2).
By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)
Answer:
First one: 114
Second one: 64
Step-by-step explanation:
For the first one, you can break apart the shapes to a square and a rectangle
The square is 7 x 7 (12 - 5 = 7)
The rectangle is 13 x 5
The square is 49
The rectangle is 65
Add them together
The first one is 114
For the second one you can break it apart to a triangle and a rectangle
The rectangle is 4 x 12
The triangle is 0.5 * 8 * 4 [8 is 12 - 4 (base)]
The rectangle is 48
The triangle is 16
Add them together
48 + 16 = 64
The second one is 64
A = 1
b = -5
c = -4
x1 = 5.70
x2 = -0.70
<span>Therefore, the negative real number is -0.70.</span>