If y = 9x - 7, which of the following sets represents possible inputs and outputs of the
1 answer:
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Ans: Option A
Explanation:
Let's solve it smartly!
Given expression:
--- (A)
Factors: (x+p)(x+q)
Condition: c<0
Now let us expand (x+p)(x+q):
=>
--- (B)
By comparing (B) with (A), we can say that:
pq = c --- (C)
Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.
1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.
2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.
We are left with Option A:p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)).
Condition is MET!
Hence,
Ans: Option A: p= -3, q= 7
Explanation:
Let's solve it smartly!
Given expression:
Factors: (x+p)(x+q)
Condition: c<0
Now let us expand (x+p)(x+q):
=>
By comparing (B) with (A), we can say that:
pq = c --- (C)
Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.
1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.
2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.
We are left with Option A:p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)).
Condition is MET!
Hence,
Ans: Option A: p= -3, q= 7
The square root of 137,
can't be simplified anymore, not even by the method of taking out a perfect root
x
(x*)
Thus, the answer is 11.70 (rounded)
can't be simplified anymore, not even by the method of taking out a perfect root
x
Thus, the answer is 11.70 (rounded)
Answer:
The first option
Step-by-step explanation:
The slope m can be calculated using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (3, 0) ← 2 points on the line
m = =
The y- intercept is the point on the y- axis where the line crosses, that is - 2
Thus slope = and the y- intercept is - 2