The graph of y = x 2 has been translated 7 units to the left. The equation of the resulting parabola is _____.
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Answer:
Step-by-step explanation:
Horizontal translation:
if y =f(x) , then y = f(x+h) is horizontal translation.
The translation h moves the graph to the left when h is the positive value and to the right when h is negative.
As per the statement:
Given the graph:
It has been translated 7 units to the left
By definition:
h = 7 units > 0
then, the equation becomes;
Therefore, the equation of the resulting parabola is,
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Answers
40,000 < n < 60,000
This means that:
n = 10,000n₁ + 1,000n₂ + 100n₃ + 11n₄
And also:
4 ≤ n₁ < 6
0 ≤ n₂ ≤ 9
0 ≤ n₃ ≤ 9
0 ≤ n₄ ≤ 9
My ten thousands digit is 1 less than 3 times the sum of my ones digit and tens digit:
n₁ = 3*2n₄ - 1
n₁ = 6n₄ - 1
This means that:
n = 10,000*(6n₄-1) + 1,000n₂ + 100n₃ + 11n₄
n = 60,000n₄ - 10,000 + 1,000n₂ + 100n₃ + 11n₄
n = 60,011n₄ - 10,000 + 1,000n₂ + 100n₃
My thousands digit is half my hundreds digit, and the sum of those two digits is 9:
n₂ = 1/2 * n₃
n₂ + n₃ = 9
Therefore:
n₂ = 9 - n₃
Therefore:
9 - n₃ = 1/2 * n₃
9 = 1/2 * n₃ + n₃
9 = 1.5 * n₃
Therefore:
n₃ = 6
If n₃=6, n₂=3.
This means that:
n = 60,011n₄ - 10,000 + 1,000*3 + 100*6
n = 60,011n₄ - 10,000 + 3,000 + 600
n = 60,011n₄ - 6,400
Therefore:
0<n₄<2, so n₄=1.
If n₄=1:
n = 60,011 - 6,400
n = 53,611
Answer:
53,611
7x + y = 19
(-2,-5)
(-2,5)
(2,5)
(2,-5)
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Answer:
(2,5)
Step-by-step explanation:
it's (2,5) just to let you now
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Hope this helps
The 1000 is a multiple of 2, so the correct option is B.
Here to find the multiple of 2, we need to divide in following numbers:
The number are 847, 1000, 2461 and 75.
847/2 = 423.5.
1000/2 = 500.
2461/2 = 1230.5.
75/2 = 37.5.
Reason being 1,000 is the only even number, solving the problem multiplying by two (even number) not an odd number.
Therefore, the 1000 is a multiple of 2.
Learn more about multiple here:
#SPJ6
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subtract 3x^2-7x+4 from 5x^2-3x+8 means
5x^2-3x+8-(3x^2-7x+4)=
5x^2-3x+8-1(3x^2-7x+4)
5x^2-3x+8-3x^2+7x-4=
5x^2-3x^2-3x+7x+8-4=
2x^2+4x+4
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Answer: Roger needs 1163 points to score.
I hope this helps! :)