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VARVARA [1.3K]
3 years ago
6

Y is directly proportional to (x-1)2. When x = 3, y = 24. Find y when x = 6.

Mathematics
1 answer:
alekssr [168]3 years ago
8 0

Answer:

<em>y = 150</em>

Step-by-step explanation:

<u>Proportions</u>

It's given y is directly proportional to the square of x-1. It can be expressed as:

y=k(x-1)^2

Where k is the constant of proportionality. We know y=24 when x=3. Substituting:

24=k(3-1)^2

24=k(2)^2=4k

Solving for k:

k = 24/4 = 6

Thus, the equation is:

y=6(x-1)^2

When x=6:

y=6(6-1)^2=6(5)^2=6*25

y = 150

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Which graph represents the solution set to this system of equations? –x + 2y = 6 and 4x + y = 3 On a coordinate plane, a line go
erastova [34]

Answer:

On a coordinate plane, a line goes through (0, 3) and (2, 4) and another line goes through (0, 3) and (0.75, 0).

This answer almost coincide with option C. I suppose there was a mistype.

Step-by-step explanation:

The system of equations is formed by:

–x + 2y = 6

4x + y = 3

In the picture attached, the solution set is shown.

The first equation goes through (0, 3) and (2, 4), as can be checked by:

–(0) + 2(3) = 6

–(2) + 2(4) = 6

The second goes through (0, 3) and (0.75, 0), as can be checked by:

4(0) + (3) = 3

4(0.75) + (0) = 3

6 1
3 years ago
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Evaluate the following question for f(3): f(x)=6(x-1)+9
kykrilka [37]
21 is the answer.You distribute 6 into the parentheses and you substitute 3 for x so 6(3-1)+9= f(x)=18-6+9 you add all the like terms and the answer is 21
5 0
2 years ago
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When Robert got a puppy from the shelter, it weigh 11 pounds. The puppy gained 40% of its original weight in the first month tha
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The puppy weighs 15.4 pounds, 40% of 11 is 4.4 so add that to the wight and its 15.4
3 0
3 years ago
Mary bought 3 shirts. The price of each shirt was $20.53. How much did the 3 shirt cost? This is 23 point question please I need
Olenka [21]

Answer:

$61.59

Step-by-step explanation:

1 shirt = $20.53

3 shirts x $20.53 = $61.59

to check:

$61.59 ÷ 3 shirts = $20.53 each

4 0
2 years ago
PLEASEEEE
belka [17]

Answer:

The answer to your questions is: 25 new teachers

Step-by-step explanation:

Data

# of students = 2000

ratio = 3:80 teachers to students

New teachers = ?

Process

I suggest to use rule of three to solve this problem

                     3 teachers ----------------  80 students

                      x                ----------------  2000 students

                  x = (2000 x 3) / 80 = 75 teachers

               Number of initial teachers = 75

The ratio change to 1:20

                     1 teacher -------------------  20 students

                     x             -------------------   2000 students

                     x = (2000 x 1) / 20

                    x = 100 teachers

Number of new teachers = 100 - 75 = 25

3 0
3 years ago
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