Answer:
There are 12 students in each group
Step-by-step explanation:
87-39= 48
48/4= 12
Hope this helped. ;)
Answer:
e = -2
Step-by-step explanation:
Well to solve for e in the following equation,
.75(8 + e) = 2 - 1.25e
We need to distribute and use the communicative property to find <em>e</em>.
6 + .75e = 2 - 1.25e
-2 to both sides
4 + .75e = -1.25e
-.75 to both sides
4 = -2e
-2 to both sides
e = -2
<em>Thus,</em>
<em>e is -2.</em>
<em />
<em>Hope this helps :)</em>
70 feet.
If you're 30 feet from the base, then you have to climb that 30 feet, plus the 40 foot length of that building. (:
Answer:
f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23
Step-by-step explanation:
The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.
__
<h3>vertex form</h3>
The vertex form equation for a parabola is ...
f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
<h3>equation</h3>
For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...
f(x) = 2(x -3)² +5 . . . . . vertex form equation
Expanded to standard form, this is ...
f(x) = 2(x² -6x +9) +5
f(x) = 2x² -12x +23 . . . . . standard form equation
4x+y>-6
y>-4x-6
Then:
(-1,-1)
if x=-1; and y=-1
-1>-4(-1)-6
-1>4-6
-1>-2;
(-1,-1) is a solution for this in-equation.
(0,-9)
0>-4(-9)-6
0>36-6
0>30 this is not true, therefore (0,-9) is not a solution.
(4,-20)
-20>-4(4)-6
-20>-16-6
-20>-22 This is true, therefore (4,-20) is a solution.
(2,0)
0>-4(2)-6
0>-8-6
0>-14 This is true, therefore (2,0) is a solution.
(-3,6)
6>-4(-3)-6
6>12-6
6>6 This is not true, therefore (-3,6) is not a solution for this in-equality.
Answer: The next pairs are solutions to this inequality: (-1,-1) , (4,20), (2,0).
