Y is directly proportional to
the square of (x - 1). y=63
when x=4. find the value of y
when x=6.

Answers

Answer 1

Answer:

y = 100

Step-by-step explanation:

y [tex]\alpha[/tex] [tex](x -1)^{2}[/tex]

y = c ([tex]x^{2}[/tex] - 2x + 1)

When y = 63, x = 4;

63 = c ([tex]4^{2}[/tex] - 2(4) + 1)

     = 9c

63 = 9c

c = [tex]\frac{63}{9}[/tex]

c = 7

Thus,

y = 4([tex]x^{2}[/tex] - 2x + 1)

The value of y when x = 6 can be determined as;

y = 4([tex]6^{2}[/tex] - 2(6) + 1)

   = 4(25)

y = 100

Therefore, y = 100


Related Questions

{3/4 x (3/3/4 ÷ 5/16)} -3/1/3

Answers

I did this online and got this hope this helps

Can someone help me? Question attached, 20 points.

Answers

Answer:

6

Step-by-step explanation:

[tex]V = A * b = 5A[/tex]

[tex]5A = 141.3[/tex]

[tex]A = 28.26[/tex]

[tex]\pi r^2 = 28.26[/tex]

[tex]3.14 r^2 = 28.26[/tex]

[tex]r^2 = 9[/tex]

[tex]r = 3[/tex]

[tex]D = 2r = 2 * 3 = 6[/tex]

Help me...!
!!
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Answers

The answer to this question is:

2 ¾ inches.

The answer to question would be 2 3/4.

Sarah can do 68 push ups in 4 minutes . At this rate how many push ups can she do each minute?

Answers

Answer:

Sarah can do 17 push-ups each minute.

Step-by-step explanation:

4 minutes = 68 push ups

68  divided by 4 = 17 push ups

1 minute = 17 push ups

- 12. What is the greatest common factor of 120 and 84?
e.
a. 3
b. 6
12
18
d.

Answers

Answer:

12 (the third one is the greatest common factor of 120 and 84)

Answer:

12

Step-by-step explanation:

factors of 120. 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,80,120

factors of 84: 1,2,3, 4,6,7,12,14,28,42,84

greatest common factor=12

PLS HELP ILL GIVE BRAINLIEST

Answers

Answer:

-40% change

Step-by-step explanation:

This change is a decrease, so first you need to find the difference between the two numbers--> 125 - 75 = 50Next, you divide by the original number, so 50 ÷ 125 = 0.4Finally, you multiply your answer by 100, so 0.4 x 100 = 40%. Because this is a decreasing change, you add a negative sign.

The area of a sector created by a 120° angle is 4 pi in squaredWhat is the area of a sector created by an angle of 30°
in the same circle

Answers

Answer:

π in²

Step-by-step explanation:

We'll begin by calculating the radius of the circle. This can be obtained:

Area of sector (A) = 4π in²

Angle (θ) = 120 °

Radius (r) =?

The radius of the circle can be obtained by using the formula for calculating the area of a sector. This is illustrated below:

A = θ/360 × πr²

4π = 120/360 × πr²

4π = ⅓ × πr²

Cross multiply

3 × 4π = πr²

12π = πr²

Divide both side by π

r² = 12π / π

r² = 12

Take the square root of both side

r = √12 in

Thus, the radius is √12 in.

Finally, we shall determine the area of the sector created by 30 °. This can be obtained as follow:

Radius (r) = √12 in

Angle (θ) = 30 °

Area of sector (A) = ?

A = θ/360 × πr²

A = 30/360 × π(√12)²

A = 1/12 × 12π

A = π in²

Therefore, the area of the sector created by 30 ° us π in².

A.3 1/4
B.1 3/4
C.2 1/4
D.3/3

Answers

The answer is A 3 1/4 hope that helped

Answer:

A. 3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Which is an asymptotic of the graph of the function y=cot [x- 2pi/3]

Answers

Answer:

B

Step-by-step explanation:

The asymptote of the function [tex]y = cot(x - \frac{2\pi}{3})[/tex] is at x = - π/3.

What are periodic functions?

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

We know, tan = sin/cos.

Hence 1/tan = cos/sin = cot.

So, The denominator sin can not be zero, And sin is zero on π and - π.

Given, A function [tex]y = cot(x - \frac{2\pi}{3})[/tex].

At, x = - π/3.

Therefore, [tex]y = cot(\frac{\pi}{3} - \frac{2\pi}{3})[/tex].

[tex]y = cot(-\pi)[/tex], Which is undefined.

learn more about asymptotes here :

https://brainly.com/question/17767511

#SPJ7

Joan can mow a 7- acre field in 5 hours. How long would it take her to mow a 5.6- acre field?

Answers

Answer:4 hours

Step-by-step explanation:

7 divided by 5= 1.4

1.4x4=5.6

What is the value of ?

Answers

Answer:

x=3

Step-by-step explanation:

Log base 5 of 125=x

that is equal to 5x5x5 which is 125

5 is multiplied 3 times so x is 3

Answer is 3 so pretty much I’m done

An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport. What angle of depression does the airplane need to use to reach the runway?

Answers

Given :

An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.

To Find :

What angle of depression does the airplane need to use to reach the runway?

Solution :

Let, angle of depression is [tex]\theta[/tex] .

So,

[tex]tan\ \theta = \dfrac{ Altitude \ in \ which \ plane \ is \ flying}{Horizontal \ Distance}\\\\tan \ \theta = \dfrac{37000}{5280}\\\\tan \ \theta = 7.00\\\\\theta = tan^{-1} 7\\\\\theta = 81.87^o[/tex]

Hence, this is the required solution.

Someone tell me what the answer

Answers

NEED A BETTER PICTURE FRIEND :)

Answer:

can you please put a better picture?

Find Z for the following sequence:
210, 209, 213, 186, 202, Z

Answers

Answer:

77

Step-by-step explanation:

as far as I can tell the steps between the given numbers are

-1

+4

-27

+16

1 can be expressed as 1³

4 can be expressed as 2²

27 can be expressed as 3³

16 can be expressed as 4²

my best guess is that next one is minus 5³ = -125

edit: technically the given steps can be expressed as

(-1)³

(-2)²

(-3)³

(-4)²

somewhat nicer pattern there

The area of A PQR is 15 m², and p = 5 m, q = 10 m.
Find the possible measure of angle R (in degrees)

Answers

i don’t know mannmmnnndjj xjhdjajji

help please i need it

Answers

9514 1404 393

Answer:

the shape is a trapezoiduse the area formula48783 mm²

Step-by-step explanation:

The top and bottom edges are parallel, and the shape has 4 sides. That means it is a trapezoid. The area can be found using the formula for the area of a trapezoid:

  A = 1/2(b1 +b2)h

  A = 1/2(85 mm + 218 mm)(322 mm) = 1/2(303)(322) mm² = 48783 mm²

Quadratic

4x2+8x+27=88

Answers

Answer:

Step-by-step explanation:

Answer:

4x²+8x+27=88

[tex]x = \frac{2 - \sqrt{65} }{2} \\ x = \frac{2 + \sqrt{65} }{2} \\ [/tex]

x= 3.03 , –5.03

Which of the following are the domain and range that represent the inverse of the function f(x), given the mapping diagram of f(x) below? 1 AWN O 2. 4 6 8​

Answers

Answer:b

Step-by-step explanation:

Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
4
4 - 6x
A. 8+226x
16 - 6x
B. 8+ 2162
846
C.
2 + V6
4- 6x
D. 8. 216
8 - 3x
UN

Answers

1. 8^3 * 8^2, 8^5, and (2^3)^5

2. 6^9, and 6^5 x 6^4

Answer:

8+2√6x / 8-3x

Step-by-step explanation:

yes

Solve for x. Round to the nearest tenth, if necessary. C С B x 25 34° А

Help with this problem please.​

Answers

Answer:

59 or I’m wrong

Step-by-step explanation:

Answer:

x=20.7

Step-by-step explanation:

using cosine...

cos 34=adjacent/hypotenuse

cos 34=x/25

Cross multiply

x=cos 34 ×25

x=20.72593931

x≈20.7(to the nearest tenth)

HIGHSCHOOL GEOMETRY
LAWS OF COS/SIN
please help
it also says that it is acute, and I dont know how to factor that into my answer​

Answers

Answer:

B = 75°

Step-by-step explanation:

Using the Sine rule:

a / sin A = b / sin B = c / Sin C

a / sin A = b / sin B

20 / sin 48 = 26 / sin B

Cross multiply :

Sin B * 20 = sin 48 * 26

Sin B = (sin 48 * 26) / 20

Sin B = 0.9660882

B = sin^-1(0.9660882)

B = 75.036

B = 75°

Can anyone solve this?

Answers

Answer:

They are congruent

Step-by-step explanation:

The reason that WK is congruent to WL is because both come from the same origin of W and they both end up in the same place on their side. Which means if WK and WL are congruent, that means that AK and AL are congruent as well.

Student spend 5 minutes of every 60 minutes at school moving from class to class. Which fraction is equivalent to the number of minutes student spend moving from class to class?

Answers

Answer:

10/120

Step-by-step explanation:

PLEASE HELP i dont know the answer for: Chose an equivalent ratio 15 cats to 20 dogs. choices: A. 4 to 5. B. 3 to 4. C. 3 to 5. D. 10 to 15.

Answers

Answer:

D 10 to 15 is the answer correct

Which of the following is geometric sequence
A. 1,1/2,1/4,1/8
B.2,4,6,8
C.1,1,2,3,5
D.7,4,1,-2

Answers

Answer:

A

Step-by-step explanation:

...................

Answer:

here's the whole unit test

Step-by-step explanation:

ur welcomeeeee ;)

I need help with this with work asap thank you

Answers

Answer:

multiply all sides (5.5 x 6 x 8.5) which results to 261.5 ft squared

solve
(3431​)−2/3÷(491​)3/2

a. 16807
b.343
c.49
d.2401​

Answers

Try photo math it is very helpful

if x=-4 then what is x^2? in an equation for my homework, they have the solution as positive instead of negative and I don’t understand why.

Answers

Since x=-4
X^2 = -4^2
16.

Answer:

see explanation

Step-by-step explanation:

Given

x² , then when x = - 4

x² = - 4 × - 4 = + 16

[ the product of a negative and a negative results in a positive ]

11x+x^2= 2y
Y + x = 19

Answers

Answer:

x = -15,46 thì y ≈ 34,46

x = 2,46 thì y ≈ 16,54

Step-by-step explanation:

x + y = 19 => x = 19 - y (1)

thay x = 19 -y vào phương trình 11x + x^2 = 2y ta có:

11 * (19 - y) + (19 - y)^2 =2y

=> 209 - 11y + 361 - 38y + y^2 = 2y

=> y^2 - 51y + 570 = 0

=> y ≈ 34,46 và y≈16,54

thay y ≈ 34,46 vào phương trình (1) có:

x = 19 - 34,46 = -15,46

thay y ≈ 16,54 vào phương trình (1) có:

x = 19 - 16,54 = 2,46

Answer:

Step-by-step explanation:

11x+x^2= 2y

Y + x = 19

Multiply and re-arrange second equation:

2y = 38 - 2x

Substitute into first equation:

11x + x^2 = 38 - 2x

Re-arrange:

x^2 + 13x - 38 = 0

Solve using quadratic formula:

x = (-13+(13^2-4*(-38))^(1/2))/2 or (-13-(13^2-4*(-38))^(1/2))/2

x = 2.46 or -15.46

Substitute back to solve for y:

y = 19 - 2.46 or 19 + 15..46

y= 16.54 or 34.46

Please help me!!! I will try to give brainliest!!!

Answers

Answer:

63.25 sq ft

Step-by-step explanation:

Area of Semi-Circle = (Pi * r²)/2 + (6 * 8)/2

(3.14 * 25) /2 + 24

= 63.25

63.27 I believe! You need to find the area of the triangle using the pythagorean theorem and then find the area of the circle and divide it by two. Then add the two together!
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