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stiks02 [169]
3 years ago
15

The skeeters baseball team charges $7. Per ticket plus $3. Processing fee for each order. Is the cost of an order proportional t

o the number of tickets ordered? Explain how you know.

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0
It's proportional

10-3=7 7/1 = 7

17-3=14 14/2=7

31-3=28 28/4=7

38-3=35 35/5=7

73-3=70 70/10=7
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A triangle has one angle that measures 70 degrees, one angle that measures 42 degrees, and one angle that measures 68 degrees. W
Leto [7]

Answer:

Scalene Acute Triangle

Step-by-step explanation:

The triangle above is an <em>"acute triangle"</em> because the measurement of each angle is <em>less than 90°</em>. However, there are three types of acute triangle and these are: <em>Equilateral Acute Triangle, Isosceles Acute Triangle and Scalene Acute Triangle.</em>

When all the angles have the same measurement of less than 90°, then it is an Equilateral Acute Triangle. If only two angles have the same measurement, it is an Isosceles Acute Triangle. If <u><em>none of the angles are the same </em></u>but all are less than 90°, which also means that the<u><em> sides are also unequal</em></u>, then it is an Scalene Acute Triangle.

The triangle above has <em>different angle measurements of less than 90°</em>. Therefore, it is an Scalene Acute Triangle.

6 0
3 years ago
Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)
Lisa [10]

Answer:

f(x) = 4x^2 - 3x + 6

Step-by-step explanation:

Quadratic function is given as f(x) = ax^2 + bx + c

Let's find a, b and c:

Substituting (0, 6):

6 = a(0)^2 + b(0) + c

6 = 0 + 0 + c

c = 6

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

f(x) = ax^2 + bx + c

16 = a(2)^2 + b(2) + 6

16 = 4a + 2b + 6

16 - 6 = 4a + 2b + 6 - 6

10 = 4a + 2b

10 = 2(2a + b)

\frac{10}{2} = \frac{2(2a + b)}{2}

5 = 2a + b

2a + b = 5 => (Equation 1)

Substituting (3, 33), and c = 6

f(x) = ax^2 + bx + x

33 = a(3)^2 + b(3) + 6

33 = 9a + 3b + 6

33 - 6 = 9a + 3b + 6 - 6

27 = 9a + 3b

27 = 3(3a + b)

\frac{27}{3} = \frac{3(3a + b)}{3}

9 = 3a + b

3a + b = 9 => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

3a + b = 9

2a + b = 5

a = 4

Replace a with 4 in equation 2.

2a + b = 5

2(4) + b = 5

8 + b = 5

8 + b - 8 = 5 - 8

b = -3

The quadratic function that represents the given 3 points would be as follows:

f(x) = ax^2 + bx + c

f(x) = (4)x^2 + (-3)x + 6

f(x) = 4x^2 - 3x + 6

6 0
3 years ago
About 20​% of babies born with a certain ailment recover fully. a hospital is caring for sixsix babies born with this ailment. t
alisha [4.7K]

Answer :

Yes, the experiment is a binomial experiment because it satisfies all the four characteristics of the binomial experiment :

1. Fixed number of trials

2. Exactly two outcomes

3. Outcomes are independent of each other

4. Probability of all the outcomes remains constant from trial to trial.

Success in the given experiment is that the baby recovers fully.

Hospital is caring for 6 babies , n = 6

p = 0.20 ( Success )

q = 1 - 0.20 = 0.80 ( Not a success )

Value of random variable x is the number of babies which are recovering fully, x = 0, 1, 2, 3, 4, 5 or 6

5 0
3 years ago
Which expressions have a value equal to −22 ?
erica [24]
Answer

-26+4

Usuahaushbsbwjwjaja
5 0
3 years ago
Use function notation to write a recursive formula to represent the sequence: 3, 6, 9, …
dlinn [17]

Answer:

f(n) = f(n - 1) + 3

Step-by-step explanation:

Substitute $ n = 1, 2, 3,.. $ to get the recursive formula.

OPTION 1: f(n) = f(n - 1) + 3

Substituting n = 1.

f(1) = f(1 - 1) + 3 = 0 + 3 = 3.

Substituting n = 2.

f(2) = f(2 - 1) + 3 = f(1) + 3 = 3 + 3 = 6.

Substituting n = 3.

f(3) = f(3 - 1) + 3 = f(2) + 3 = 6 + 3 = 9.

The numbers match the given sequence. So, we say the above recursive formula represents the sequence.

OPTION 2: f(n) = f(n - 1) + 2

Substituting n = 1

f(1) = f(0) +  2 $ \ne $ 3.

So, this is eliminated.

Similarly, OPTION 3 and OPTION 4 can be eliminated as well.

4 0
3 years ago
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