Answer:
y = 2(x - 1)² + 1
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, 1), thus
y = a(x - 1)² + 1
To find a substitute (4, 19) into the equation
19 = a(4 - 1)² + 1
19 = 9a + 1 ( subtract 1 from both sides )
18 = 9a ( divide both sides by 9 ), thus
a = 2
y = 2(x - 1)² + 1 ← in vertex form
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Answer:
The answer is 6 pounds.
Step-by-step explanation:
I figured it out by getting it wrong
Answer:
D
Step-by-step explanation:
So we have the equation:
And we want to solve for x.
We can solve it by completing the square.
First, subtract 58 from both sides:
Divide the b term by 2 and square it:
So, add 9 to both sides:
On the left, the perfect square trinomial pattern. Add on the right. So:
Take the square root of both sides:
The square root of -49 is 7i:
Add 3 to both sides:
So, our answer is D.
And we're done!
Answer:
1/5
Step-by-step explanation:
The stick has a length of 5 units
The stick is broken at two points chosen at random
First break: the probability that you get a piece that is 1 unit or longer than 1 units= 1/5.
Second break, the probability that you get a piece that is 1 unit or longer than 1 units is 1/5.
Therefore,
The total probability =probability of first break * probability of second break * original stick unit
=1/5 * 1/5 * 5
= 1/25 *5
=5/25
=1/5
