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

Answers

Answer 1

Answer:

y = 150

Step-by-step explanation:

Proportions

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

[tex]y=k(x-1)^2[/tex]

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

[tex]24=k(3-1)^2[/tex]

[tex]24=k(2)^2=4k[/tex]

Solving for k:

k = 24/4 = 6

Thus, the equation is:

[tex]y=6(x-1)^2[/tex]

When x=6:

[tex]y=6(6-1)^2=6(5)^2=6*25[/tex]

y = 150


Related Questions

Pls help fast !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex] \frac{2}{3} [/tex]

Step-by-step explanation:

⅓×2

When multiplied by 2 will be;

[tex] \frac{1}{3} \times \frac{2}{1} [/tex]

So you 2×1=2

3×1 is equal to 3

So the final answer will be;

[tex] \frac{2}{3} [/tex]

Answer:

2/3

Step-by-step explanation:

1/3 × 2/1

1 × 2/ 3× 1

= 2/3

hope it helps!

Original: 12 for $9.12
New Deal: 9 for

Answers

Answer:

6.84

Step-by-step explanation:

The graph represents a functionE(t). Describe why the graph represents a function. Identify the
domain and range of the function.

please help it’s very late

Answers

Answer:

Domain: [0, ∞)

Range: [7850, ∞)

Step-by-step explanation:

A function is defined by the set of ordered pairs having different output values for every input value.

In the graph attached, for every input value (x-coordinates) there is a unique output (y-coordinates) value.

Therefore, graph represents a function.

Domain of the given function → [0, ∞)

Range of the function → [7850, ∞)

Line p goes through points (-2,6) and (4, -3). What is the equation of line p?

Answers

1+1.....................

gina worked a total of 57 hours last week at her 2 part time jobs, one job pays $8 per hour and the other job pays $7.25 per hour. her total pay for the 57 hours was $438.75. how many hours did she work at the job that pays $8 per hour?

Answers

Answer:

2hors she dindid hine his work

is -8+(-9) a negative integer or positive ​

Answers

It is -17 so a negative integer

Answer:

Negative Integer

Step-by-step explanation:

-8 + (-9) can be rewritten as -8 - 9, which is -17.

Since -17 is a negative number, it is a negative integer

Hope this helps!

PLEASE HELP URGENT!!!!
Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

£ 21552.13

Step-by-step explanation:

P= £18790

r =4.9% = [tex]\frac{4.9}{100}=0.049[/tex]

t = 3 years

I = Prt

I = 18790 * 0.049 * 3

 =£ 2762.13

After 3 years , the amount in Dan's account = 18790 + 2762.13

                                                                         = £ 21552.13

How does the President interact with the judicial branch of government?

Answers

Answer:

The President nominates people for appointment as Federal Judges. The nominees are approved by the Senate, but the President picks the nominees. Federal Judges are appointed for life but can be impeached

Step-by-step explanation:

Solve for the variable shown. Round answers to the nearest hundredth if needed.

Answers

Answer and Step-by-step explanation:

Question 4:

We need to solve for y, so we need to use the cosine trig function, which is adjacent divided by hypotenuse.

[tex]cos(21) = \frac{y}{18}\\\\18(cos(21)) = y = 16.8\\\\\\[/tex]

Question 5:

We need to use the sine trig function, which is opposite divided by hypotenuse.

[tex]sin(43) = \frac{31}{x} \\\\x = \frac{31}{sin(43)} = 45.45[/tex]

#teamtrees #WAP (Water And Plant)

A grocery store sells steak for $6.10 per pound. What would be the cost of 2b of steak?
A $34.03
CS15.86
D $12.06

Answers

Answer:

12.06

Step-by-step explanation:

Answer:

The price of 2lb's of steak is 15.86

Step-by-step explanation:

Multiply

Jake has 6 quarters 2 dimes and a nickel does he have enough to buy a dog bone that costs 1.49?

Answers

Answer:

Jake does have enough to buy a dog bone that cost $1.49

Step-by-step explanation:

6 quarters = $1.50

2 dimes = $0.20

1 nickel = $0.05

So add it all together: $1.50 + $0.20 + $0.05 = $1.75

What’s 25 dived by 9 in long (step by step)

Answers

Answer:

Step 1:

Start by setting it up with the divisor 9 on the left side and the dividend 25 on the right side like this:

           

   9 ⟌ 2 5  

Step 2:

The divisor (9) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

   9 ⟌ 2 5  

Step 3:

Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.

       0    

   9 ⟌ 2 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

   9 ⟌ 2 5  

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   9 ⟌ 2 5  

     - 0    

       2 5  

Step 6:

The divisor (9) goes into the bottom number (25), 2 time(s). Therefore, put 2 on top:

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

Step 7:

Multiply the divisor by the result in the previous step (9 x 2 = 18) and write that answer at the bottom:

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

      1 8  

Step 8:

Subtract the result in the previous step from the number written above it. (25 - 18 = 7) and write the answer at the bottom.

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

     - 1 8  

         7  

Step-by-step explanation:

I need answer plzzzzz

Answers

The given equations are  

12x + 4y = 152 ...........1

32x + 12y = 420 .....2

Multiplying equation 1 by 3 to make  coefficient of y same we have:

36x+12y= 456

32x+12y=420

Subtracting the two equations we have:

4x=36.

Dividing by 4 both sides  

x= 9.

Substituting x value in equation 1

12(9) + 4y = 152

108+4y=152

Subtracting 108 both sides: 4y=44.

Dividing both sides by 4.

y=11.

cost of the vegetarian lunch is $11.

In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch.

can someone solve x - 8 = -3x + 12

and x + 12 = -x - 6


STEP BY STEP PLEASE? !

Answers

Answer:

x-8= -3x+12

adding 8 and 3x on both sides

x-8+8+3x= -3x+3x+12+8

x+3x=20

4x=20 divide by 4

x=5

x+12= -x-6

adding x and subtacating 12 on both sides

x+x+12-12= -x+x-6-12

2x = -18 divide by 2

x= -9

Find,, the slope of the line through the points (2, 5) and (-4, 5)..

Answers

Answer:

[tex]a = \frac{y - y}{x - x} = \frac{5 - 5}{2 + 4 } = 0[/tex]

Step-by-step explanation:

I think that is the answer

Which is a fourth degree trinomial with a leading coefficient of 3?
A) x2 – 3x4 + 13x
B) 3x4 – 8x3 = x + 2
C) 3x3 – x2 =12
D) x - x2 + 3x4​

Answers

Answer:

B.

Step-by-step explanation:

A fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴-8x³=x+2].

What is a trinomial?A trinomial in elementary algebra is a polynomial made up of three terms, or monomials.An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z is x + y + z.A trinomial in one variable, 2a² + 5a + 7, exists.

So, we know that a trinomial is made up of 3 terms.

4th-degree trinomial means that it has a power of 4.And with a coefficient of 3.

So, such expression is: 3x⁴ - 8x³ = x + 2

Therefore, a fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴ - 8x³ = x + 2].

Know more about trinomials here:

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Question 3
20 pts
True or False.
Trey can drive his car 130 miles on 4 gallons of gas. At this rate, Trey would need 5 gallons of gas to drive 165 miles.
True
False
207

Answers

Answer:

false

Step-by-step explanation:

He needs little over 5 gallons

find the missing side measure

Answers

Answer:

B) 178 mi

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]78^{2} + 160^{2}=c^{2}[/tex]

6084+25600=[tex]c^{2}[/tex]

31684=[tex]c^{2}[/tex]

[tex]\sqrt{31684} =\sqrt{c^{2}}[/tex]

178=c

POSSIBLE POINTS
The Simpson's had the "Semi Scooper Sundae" with 10 scoops of icecream and 6 cherries. Homer yelled, "I want more!"
The Super Scooper Sundae had 15 scoops of icecream and 9 cherries
Is the ratio equivalent? Choose Yes or No.
SINASS

Answers

Answer:

Bot ratios are equivalent?  YES

Step-by-step explanation:

The Semi Scooper Sundae has 10 scoops of ice cream and 6 cherries. The ratio of cherries to scoops of ice cream is:

[tex]\frac{6}{10}[/tex]

Simplifying:

[tex]\frac{6}{10}=\frac{3}{5}[/tex]

Ratio= 3:5

The Super Scooper Sundae has 15 scoops of ice cream and 9 cherries. The ratio of cherries to scoops of ice cream is:

[tex]\frac{9}{15}[/tex]

Simplifying:

Ratio= 3:5

Bot ratios are equivalent?  YES

Identify the function shown in this graph.
5
5 $
3
2
2 1
-5 4 3 2 1
(1 2 3 4 5
-2
-5
O A. y = 3x - 2
O B. y=-3x - 2
O c. y = 3x + 2
O D. y = {x – 2

Answers

A is the correct answer because the y-intercept is -2 and the slope is 3 because it goes up 3 units.

PLEEASSEE HELP I WILL GIVE 15 Which number line could help you find the distance between (7,4) and (3, 4)? A number line going from 0 to 8 in increments of 1. Points are on 3 and 4. A number line going from 0 to 8 in increments of 1. Points are on 3 and 7. A number line going from 0 to 8 in increments of 1. Points are on 4 and 7.

Answers

a number line going 0-8 with points on 3 and 7

Answer: i dont know if this is the right Question but it is 7 and 9 on the one i was on

Step-by-step explanation:

Help me plsss I need or I will fail

Answers

Answer:

1. the decimal point moves to the right 2 spaces

2. the decimal point moves to the right 4 spaces

3. the decimal point moves to the right 3 places

Someone help me please!!!

Answers

19=4.35
11=3.31
7.66= 7.7

If f(1) = 5 and f(n) = 5f(n − 1) then find the value of f (5).

Answers

Answer:

f(1)= 5

so x=1

f(5)= 5(5-1) = 20

The value of f(5) is 3125.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(1) = 5 and f(n) = 5f(n − 1)

Now, for finding the the 5 th term we have to find the remaining four term before the 5th term.

So, n=2

f(2) = 5f(1)

f(2)=  5(5)

f(2)=  25

Now, n=3

f(3) = 5f(2)

f(3)=  5(25)

f(3)=  125

Now, n=4

f(4) = 5f(3)

f(4)=  5(125)

f(4)=  625

Now, n=5

f(5) = 5f(4)

f(5)=  5(625)

f(5)=  3125

Hence, the value of f(5) is 3125.

Learn more about function here:

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Jack's train arrived at the station at 8:30 in the evening. The train ride was 2 hours and 10 minutes.
What time did jacks family leave? ​

Answers

Answer:

6:20 PM

Step-by-step explanation:

They got there at 8:30 PM, and 2 hours and 10 minutes prior would have been 6:20 PM.

Can y’all plz help me for brainliest

Answers

Answer: x = 3

Step-by-step explanation: First subtract 2x from both sides to get:

3x + 6 = 15

Then subtract 6 on both sides

3x = 9

Now divide by 3 to isolate x to get...

x = 3

5x + 6 = 2x + 15
5x + 2x = 6 + 15
7x = 21 (then you divide 21 by 7)
x= 3
That’s how I do it

A bag contains n counters.
One counter is blue and the rest are red.
cla
-1
Two counters are taken at random from the bag.
a) Express, in forms of n, the probability that a counter of cach colour is taken.
Give your answer as a fraction in its simplest form.

Answers

Answer:

favourable outcomes /total outcomes

put ur question in the above formula

I'll get ur ans

Let A and B be two events. The probability that event B occurs is 0.72. The probability that events B and A both occur is 0.24.
What is the probability that event A occurs, given that event B has occurred?
A. 0.17
B. 0.33
C. 0.48
D. 0.67

Answers

C is the answer to this question. I hope this helps.

Answer:C

Step-by-step explanation:

NEED HELP PLZ ANSWER IMMEDIATELY IM GOING TO GET IN TROUBLE A jacket usually sells for $61.00. If the jacket is 40% off, and sales tax is 8%, what is the total price of the jacket, including tax?

Answers

Answer:

$39.528

Step-by-step explanation:

61*0.6 = 36.6

36.6*1.08 = $39.528

Answer:

39.53

Step-by-step explanation:

Multiply 61 by .4. The answer is 24.4. Subtract 24.4 from 61. This is the sale price after the discount but before the sales tax. The answer to that is 36.6. Multiply 36.6 by .08, the answer is 2.928. Round to the nearest hundreths. Add this to 36.6. You're final answer is 39.53.

What ordered pair is the solution of x-y=-3 2x+y=0
A. (-3,0)
B. (1,4)
C. (0,0)
D. (-1,2)

Answers

Answer:

D

Step-by-step explanation:

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