Answer: 50x+30y+5z= 690
40x+15y+5z= 620
45x+10y+5z= 510
Step-by-step explanation: The first equation to find units of wood, the second is for the units of fabric, and the third is for the units of stuffing.
Answer:
4
Step-by-step explanation:
The vertex formula of a quadratic equation is:
●y= a(x-h)^2 +k
(h,k) are the coordinates of the vertex
Here: h = -5 and k= -2
y is 2 and x is -4
● 2 = a (-4-(-5))^2 + (-2)
● 2 = a (-4+5)^2 -2
● 2 = a *1^2 -2
● 2 = a -2
● 4 = a
<h3>Answers:</h3><h3>x = 1 or x = 16</h3>
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Work Shown:
Draw out a rectangle that is 32 units wide horizontally and 8 units tall vertically.
Then draw out another rectangle that is 4 meters wide horizontally and x meters tall vertically.
The horizontal and vertical sides pair up to form these fractions: 32/4 and 8/x
Set the fractions equal to one another. Solve for x
32/4 = 8/x
32x = 8*4 ... cross multiply
32x = 32
x = 32/32 ... divide both sides by 32
x = 1
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Somewhere else on your paper, draw the same 32 by 8 rectangle to make 32 the horizontal component
Next to this rectangle, draw a rectangle that has x as the horizontal part and 4 as the vertical. Note the swap here.
We now have this equation to solve for
32/x = 8/4
once again, note the swap
Let's solve for x
32/x = 8/4
32*4 = 8*x
128 = 8x
8x = 128
x = 128/8
x = 16
The number of members in a baseball club is shown with the function:
f ( x ) = 25 * 1.45^x
When: x = 0: f ( 0 ) = 25
When x = 1 f ( x ) = 25 * 1.45 ≈ 36
When x = 3, f ( x ) = 25 * 1.45³ ≈ 76
Answer:
Graph D best represents this function.
