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ratelena [41]
3 years ago
7

why write a quadratic function whose graph has the given characteristics vertex :(2,3) point on graph (0,-1)

Mathematics
1 answer:
GaryK [48]3 years ago
5 0
<h3>Answer:</h3>

f(x) = -(x -2)² +3

<h3>Step-by-step explanation:</h3>

We can fill in the vertex (h, k) values immediately in the vertex form ...

... f(x) = a(x -h)² +k

To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:

... -1 = a(0 -2)² +3

... -4 = 4a . . . . . . . . . subtract 3, simplify

... -1 = a . . . . . . . . . . . divide by 4

Now, we know the function is ...

... f(x) = -(x -2)² +3

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He fourth-grade students at Curtis Estabrook make up 0.3 of all students​ at the school. What fraction is equivalent to 0.3? ​
BartSMP [9]

Answer:

3/10

Step-by-step explanation:

fouth grade students at Estrabook make up 0.3 percents of the students at school

The fraction is therefore equivalent to

= 3/10

4 0
3 years ago
There are two less nickels than dimes, and as many quarters, as nickels and dimes together. The total amount of money is $5.25.
katen-ka-za [31]
N=d-2
q=n+d =>q=(d-2)=q=2d-2
25q+5n+10d=525
replace q and n with d
25(2d-2) +5(d-2)+10d=525
50d-50+5d-10+10d=525
65d=585
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q=16

3 0
3 years ago
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Flauer [41]

The probability that a student, chosen at random, does not study chemistry is 20/41.

<h3>What is Probability?</h3>

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Here, Total number of student = 41

         Student who does not study chemistry = 20

So, the probability = favorable outcome / total outcomes

             P(not studying chemistry) = 20 / 41

Thus, The probability that a student, chosen at random, does not study chemistry is 20/41.

Learn more about Probability from:

brainly.com/question/11234923

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7 0
2 years ago
Julie baked cupcakes for her family at home and for a party at school. She iced 4 cupcakes with red frosting, 2 cupcakes with or
bonufazy [111]
5 different vorieties
8 0
3 years ago
1. Find the distance from point P to QS
12345 [234]

Answer:

5.7 units

Step-by-step explanation:

The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).

Use distance formula to calculate distance between P and R:

PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

P (1, 1) = (x_1, y_1)

R(-3, 5) = (x_2, y_2)

Plug in the values into the formula.

PR = \sqrt{(-3 - 1)^2 + (5 - 1)^2}

PR = \sqrt{(-4)^2 + (4)^2}

PR = \sqrt{16 + 16}

PR = \sqrt{32}

PR = 5.7 units (to nearest tenth)

4 0
3 years ago
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