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Ainat [17]
2 years ago
11

Determine a and k so the given points are on the graph of the function.

Mathematics
1 answer:
pshichka [43]2 years ago
3 0

Step-by-step explanation:

Explanation:

Because

(2,6) is in the function, we can plug

6 as y

and

2 as x.

From that we get

6=a(2−1)2+k

6=a+k

Same for the next point:

12=a(3−1)2+k

12=22a+k

12=4a+k

Now we have this system of equations to solve:

a+k=6

4a+k=12

Solving it leads to the conclusion that

a=2,k=4 .

You might be interested in
Let h be the function that assigns each student ID number to a grade level.
denis-greek [22]

Answer:

It is a function Jonny!

Step-by-step explanation:

Hello! I would say to Jonny:

Jonny! A function is a relation between two sets, in which every element of the first set (domain) is assigned only one element of the second set (codomain).

If you have serveral elements of the first set with the same corresponding element of the second set it is correct to call that relation a function.

However, if you have an element of the first set for which your relation can relate to more than one element of the second set, then Jonny, that is not a function.

In the present case, every student ID number can only be realted to a number of the set {9, 10, 11, 12}, a student cannot have more than one current grade level. Therefore, that relation is in fact a function

5 0
2 years ago
PLEASE HELP ASAP!! PLEASE ANSWER A AND B! GIVING AWAY 13 POINTS
telo118 [61]
According to google A. Would be 2.375 or as a fraction it would be 2 3/8
5 0
3 years ago
Members of a college chemistry department agree to contribute equal amounts of money to make up a scholarship fund of $280. Then
Zarrin [17]

Answer:

7 members

Step-by-step explanation:

Lets say that the department has n members. If each member contributes with an equal amount x and make a total of $280, we know that:

n*x = 280

Where each one colaborated with:

n*x/n = 280/n

Or what is the same that: (as the n on the left eliminate themselves)

x = 280/n (*)

Now the department hires 3 more members, so we now have n+3 members. And we know that the pass from contributing x to contribute $30 less, it is, x-30 (I omit the $ symbol for simplicity). So, know we have:

x-30 = 280/(n+3)

We can replace x here by the formulation of x we did in the (*) equation:

( 280/n) - 30 = 280/(n+3)

using common denominator:

( 280/n) - 30 n/n = 280/(n+3)

( 280 - 30 n)/n = 280/(n+3)

Cross multiplying the denominators:

( 280 - 30 n)*(n+3) = 280*(n)

280n - 30n^2 + 840 - 90n = 280n

Subtracting 280 n in both sides:

30n^2 + 840 - 90n = 0

Dividing both sides by 30:

-n^2 - 3n + 28 = 0

Factorizing this term (you can notice the factor immediately or solving with baskara resolution, I omit the baskara for simplicity):

-(n + 7)(n - 4) =0

So, n is equal to 4 and -7. As we are dealing with people we can not have -7 people, so we keep only n=4.

So, previous the new hiring there were 4 members, now there are 7.

The used to collaborate with 280/4 = $70, now the collaborate with 280/7=$40, and we see the collaboration decreased in $30.

7 0
3 years ago
A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation b
MrRissso [65]
You are looking for the circumference. which is C(circumference)= \pi x r (radius)
the radius is =to half of the diameter.
c=56.55
3 0
2 years ago
Read 2 more answers
Otis plans to make 3 batches of sidewalk chalk How much plaster of paris does he need
den301095 [7]

Answer:

4\frac{1}{2} cups plaster of paris.

Step-by-step explanation:

Given:

for one batch of sidewalk chalk = 1\frac{1}{2} cup plaster of paris.

Number of bathes = 3

We need to find quantity of plaster of paris.

Solution:

For making 1 batch of sidewalk chalk = 1\frac{1}{2} cup plaster of paris.

For making 3 batches of sidewalk chalk = 3\times 1\frac{1}{2} cup plaster of paris.

= 3\times \frac{2\times 1+1}{2}

= 3\times \frac{2+1}{2}

= 3\times \frac{3}{2}

= \frac{3\times 3}{2}

= \frac{9}{2}

=4\frac{1}{2}

Therefore, he needed 4\frac{1}{2} cups plaster of paris.

5 0
3 years ago
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