Looking at the equation, you could see that it is in vertex form. Vertex form looks like this: y=a(x-h)^2+k where a is the slope to find the first point away from the origin and (h,k) is the vertex. So, the vertex is (3,-1). The first point away from the origin is up two, over one, so the slope is 2. This means that a is 2. One way you could check this is by putting 2 in for a. If you put it into standard form, it would be 2x^2-12x+17. To find the x in the vertex when the equation is in standard form we use -b/2a. So it would give us 3 for x. If we put in 3 for x, we get -1 for y, so the vertex is (3,-1). This means that a is 2. Sorry for this lengthy answer, hope it helps.
Answer:
5/17
Step-by-step explanation:
This is a question to calculate probability from odds. The formula is given as:
A formula for calculating probability from odds is P = Odds / (Odds + 1)
From the question , we are told that the odds of receiving a gift is
= 5:12
The probability of Jessica receiving a gift =
Probability = Odds / (Odds + 1)
P = 5/12 / ( 5/12 + 1)
P = (5/12)/ (17/12)
P = 5/12 × 12/17
= 5/17
Therefore, the probability of Jessica. receiving a gift is 5/17.
0.07 is 10 times greater than 0.007
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Answer:</h2><h2>
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21m</h3><h2>
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Explanation:</h2><h2>
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The diagram and complete question is shown below. We know that the length (L) of the living scale in the drawing is:
We also know that the scale is:
Then, by using proportion we have:
