The equation of the line is y=6x+37
Step-by-step explanation:
You can write the equation using the slope intercept form techniques which is y=mx+c where m is the slope of the line and cis they intercept constant.
Given the point (-6,1) and slope m=6then
Δy/Δx =m
Answer:
$240
Step-by-step explanation:
Let x = the original price:
x - 0.2x = 192
0.8x = 192
x = 240
Answer:
F = -6 + 2d/5
Step-by-step explanation:
2d-5f=30
subract 2D from each side
-5f=30-2d
divide both sides by -5
f= -6 +2d/5
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
Answer:
Customer has bought too much sand
Step-by-step explanation:
Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.
Volume of a rectangular box = Length * Width * Height
=> 6*5*1.2
=> 36 cubic feet
As mentioned, customer bought a sand box and <u>40 cubic feet of sand.</u>
So,
Volume of rectangular box (R) = 36 cubic feet
Volume of Sand (S) = 40 cubic feet
From analysis
S > R
Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.
Therefore, customer has bought too much sand.
