If the current ratio of red to blue to green socks is 2:3:7, then t<span>here are exactly 2x red socks, 3x blue socks and 7x green socks.
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1. If amount of red socks are increased by n new socks, then t<span>here are exactly 2x+n red socks, 3x blue socks and 7x green socks and (2x+n):3x:7x=8:9:21. This means that 2x+n=8y, 3x=9y, 7x=21y. You have that x=3y and 6y+n=8y, n=2y.
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2. If amount of blue socks are increased by n+2 new socks, then t<span>here are exactly 2x red socks, 3x+n+2 blue socks and 7x green socks and 2x:(3x+n+2):7x=2:4:7. This means that 2x=2t, 3x+n+2=4t, 7x=7t. Now you have that x=t and 3t+n+2=4t, n=t-2.
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</span><span>3. Solve x=3y, n=2y, x=t, n=t-2. You obtain that t=3y, t-2=2y. Then 3y-2=2y and y=2. Hence, x=6=t, n=6-2=4.
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</span><span>Answer: n=4
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The answer is: [C]: " y = 3x + 1 " .
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Note: By looking at the graph, we see that it passed through the point, " (0, 1) " (at the y-intercept).
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Consider choice: [A]: "y = 3x" ; When "x = 0" ; what does "y" equal ?
→ y = 3x = 3(0) = 0 ; → "(0, 0)" is a solution; NOT "(0, 1)" ; so rule out "[A]" .
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Consider choice: [B]: "y = 3x − 1" ; When "x = 0" ; what does "y" equal ?
→ y = 3(0)−1 =0−1 = -1; → "(0, -1)" is a solution; NOT "(0, 1)" ; so rule out "[B]" .
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Consider choice: [C]: "y = 3x + 1" ; When "x = 0" ; what does "y" equal ?
→ y = 3(0)+1 = 0+1 = 1; → "(0, -1)" is a solution; so "choice [C]" is possible.
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Consider choice: [D]: "y = 3x² + 1"; When "x = 0" ; what does "y" equal ?
→ y = 3(0²)+1 = 0+1 = 1; → "(0, 1)" is a solution; so "choice [D]" is possible.
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However; choice: [D]: is a parabola, not a line; so we determine that the correct answer is: Choice [C]: "y = 3x + 1" .
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Answer:
Step-by-step explanation:
y = x² + 2x - 5
d. D: all real numbers R: (y greater-than-or-equal-to negative 6)
Answer:
C(x,y) = (-28,13)
Step-by-step explanation:
If co-ordinates of points A(x1,y1) and (x2,y2) and C is the external point that divides the line AB in ratio m:n then,
Given: A (-6, 3) & B (5, -2) in ratio 2 : 3
Substituting these values in above formula to C(x,y)
C (x,y) = \frac{2\times5-3(-6)}{2-3} , \frac{2(-2)-3(3)}{2-3}
Solving we get
C(x,y) = (-28,13)
Answer:
25x
Step-by-step explanation:
6x + 9 = 25x
