I'll answer problem 9 to get you started
<h3>Answer: Choice (2) 3x-1 = 2x+3</h3>
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Explanation:
We will plug x = 7 into each equation or inequality given to us. Then we determine if we get a true statement or not.
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Let's start with choice (1)
x + 3 > 6
7 + 3 > 6 .... x is replaced with 7
10 > 6
Since 10 is larger than 6, this makes the last inequality true. Therefore, the first inequality is true when x = 7. So we can rule out choice (1) since we are looking for a false statement.
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Move onto choice (2)
3x-1 = 2x+3
3*7-1 = 2*7+3 ... replace every x with 7
21-1 = 14+3
20 = 17
This is false since we don't get the same number on each side. Therefore, choice (2) is the final answer.
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Since we found the answer, we can stop here. But let's keep going to check the others.
choice (3)
2(x+1) = x+9
2*(7+1) = 7+9 ... plug in x = 7
2*(8) = 16
16 = 16
We get the same thing on both sides, so the equation is true. We can rule out choice (3).
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Now onto choice (4)

This is true since -4 is to the left of 0 on the number line, which makes -4 smaller than 0. We can rule out choice (4).
Answer:
x=y
Step-by-step explanation:
-let x be the number of tennis balls and y the number of rackets.
-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

-Hence, for each one tennis ball, there is a tennis racket.
#This is a direct linear relationship and is modeled as graphed in the attachment:
Answer:
y² - (K- 2)y + 2k +1 = 0
equal roots means D=0
D= b^2 - 4ac
a=1, b= (k-2), c= 2k+1
so,
(k-2)^2 - 4(1)(2k+1) = 0
=> k^2 +4 - 8k -4 = 0
=> k^2 -8k = 0
=> k^2 = 8k
=> k= 8k/k
=> k = 8
Therefore the answer is k= 8
Hope it helps........
Answer:
4 seconds
Step-by-step explanation:
using the vertex formula of a quadratic,
, where (h,k) is the vertex
h is height and t is time in seconds
the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)
Height of 1/2
time of 2 seconds
it will take 2 additional seconds to reach the water again.
this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.
The answer to the question