Suppose y varies jointly as × and z. What is y when × = 2 and z = 3, if y = 20 when × = 4 and z = 3?

The standard form is:

Convert each equation:

1. x² + 2x = -1                        add 1 to both sides

⇒ x² + 2x + 1 = 0

2. 4 + x² = 7x                        add - 7x to both sides and rearrange

⇒ x² - 7x + 4 = 0

3. x² - x = 1                            add - 1 to both sides

⇒ x² - x - 1 = 0

4. x² + 9x = 10                       add - 10 to both sides

⇒ x² + 9x - 10 = 0

5. 4x + 3 = x²                        add -4x - 3 to both sides

⇒ x² - 4x - 3 = 0

6. x² + 5x = 5                        add -5 to both sides

⇒ x² + 5x - 5 = 0

7. 2x² + 7x = 3                      add -3 to both sides

⇒ 2x² + 7x - 3 = 0

8. x² = 3x + 8                        add -3x - 8 to both sides

⇒ x² - 3x - 8 = 0

9. x(x + 3) = 1                         distribute and add - 1 to both sides

⇒ x² + 3x - 1 = 0

10. x² - 3x = -2                       add 2 to both sides

⇒ x² - 3x + 2 = 0

11. y² - 7y = -6                        add 6 to both sides

⇒ y² - 7y + 6 = 0

12. z² - 5z = -4                       add 4 to both sides

⇒ z² - 5z + 4 = 0

Answer: ^^

1. x2 + 2x + 1 = 0

2. x^2 - 7x + 4 = 0

3. x^2 - x - 1 = 0

4. x^2 + 9x - 10 = 0

5. -x^2 + 4x + 3 = 0

6. x^2 + 5x - 5 = 0

7. 2x^5 + 7x - 3 = 0 or 2x^5 + 4x = 0

8. x^2 - 3x - 8 = 0

9. x^2 + 3x - 1 = 0

10. x^2 - 3x + 2 = 0

11. y^2 - 7y + 6 = 0

12. z^2 - 5z + 4 = 0

Step-by-step explanation:

:)

Answer:

Total cost of the book = $51.89

Step-by-step explanation:

Total cost of the book = Cost of the book + (cost of the book × sale tax %)

Total cost of the book = $50.38 + ($50.38 × .03)    3% = .03 as a decimal

 Total cost of the book =$50.38 + $1.5114)

  Total cost of the book = $51.8914

   Total cost of the book = $51.89

Answer:

$$x=5$$, so after five months the costs would equal each other

Step-by-step explanation:

i think pls mark brainliest

Answer:

A

Step-by-step explanation:

The graph representing a proportional relationship is a straight line graph passing through the origin.

This is shown in graph A

Answer:

perpendicular

Step-by-step explanation:

(x+4y=-12) = (y = − 1 /4 x − 3)

(8x-2y=4) = (y = 4 x -2)

Answer:

It's 6

p=6

Step-by-step explanation:

ATQ

[tex]\\ \sf\longmapsto m+m+4+m+6=37[/tex]

[tex]\\ \sf\longmapsto 3m+10=37[/tex]

[tex]\\ \sf\longmapsto 3m=27[/tex]

[tex]\\ \sf\longmapsto m=9[/tex]

Answer:

see below

Step-by-step explanation:

the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11

Answer:

Gradient = -2/3

y-intercept = 7/3

Step-by-step explanation:

Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept

2x + 3y = 7

3y = -2x + 7

y = -2/3x + 7/3

Answer: like 36 i think

Step-by-step explanation:

Answer:

14168

Step-by-step explanation: just multiple

Answer:

2

Step-by-step explanation:

let 'x' = number

x³ - x² = 2x

x³- x² - 2x = 0

x(x² - x - 2) = 0

x(x - 2)(x + 1) = 0

x = -1, 0, 2

the only positive solution is the number 2

1 = 1 = 1 < 2 < 22

1 is equal to 1 is equal to 1 is less than 2 is less than 22

1 = 1    =1    < 2   < 22                                                                                                                1       1       1       1        1        hope help mark brain.....?

Step-by-step explanation:

R = x²/y

Substitute

R = (4.8×10⁵)²/2.8×10⁴

= 4.8²×10¹⁰/2.8×10⁴

= 23.04×10¹⁰/28000

Answer:

y + 4 = -5(x - 15)

Step-by-step explanation:

The given line has a slope of 1/5.  Any new line perpendicular to this given line has a slope which is the negative reciprocal of 1/5:  -5.

Use the point-slope equation of a line:  y - k = m(x - h), where (h, k) is the point through which the new line passes.  Here h = 15 and k = -4, so we have:

y + 4 = -5(x - 15)

This line is perpendicular to the given line and also passes through (15, -4).

Answer:

B. Shania's conclusion is the only accurate one.

Step-by-step explanation:

Answer:

0.86 as a percent is 86%.

Step-by-step explanation:

Have a great rest of your day

#Nova

P.S

give the braineist to the other person pls

Answer:

90

Step-by-step explanation:

Answer: %0.00100010001

Step-by-step explanation:

Answer:

y = -13.5

x = -10.5

Step-by-step explanation:

Hi there!

Let the two numbers be equal to x and y.

The difference of two numbers is 3 ⇒ x - y = 3

Their sum is - 24 ⇒ x + y = -24

Solve using elimination:

x - y = 3

x + y = -24

Add the two equations:

x + x - y + y = 3 - 24

2x = -21

x = -10.5

Solve for y:

-10.5 - y = 3

- y = 3 + 10.5

y = -13.5

I hope this helps!

Answer:Twin Bed – $60.48

Shoes - $20

Dresser, Mirror, Bookshelf - $82.11

Blanket, Clothes, Toys, Diapers - $277

Step-by-step explanation:

This gives us a total of 439.59

Answer:

81 x² - 4 y²

Answer C is correct.

Step-by-step explanation:

First, you have to find the area of the larger square.

Area of the larger square = (9x) × (9x)

                                          = 81 x²

Then you have to find the area of the un shaded square,

Area of the unshaded square = (2y) × (2y)

                                                  = 4 y²

Now to find the area of shaded region you have to subtract the area of the unshaded square from the area of the larger square.

Area of the shaded region = Area of the larger square - Area of the unshaded square

                                            = 81 x² - 4 y²

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

5.5

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

We use the hundredths place, so 5.

5 gets rounded up, so we have 5.5

Answer:

0.92 can be written as a fraction, because it is a terminating decimal. ( See the following. )

[tex] \frac{23}{25} [/tex]

0.777... can't be wrtten as a fraction, because it is a repeating decimal.

0.444... can't be written as a fraction, because it is a repeating fraction.

0.5813.. can't be written as a fraction, because

it is a decimal that neither terminates nor repeats.

For example : Root numbers don't terminates or repeats.

[tex] \sqrt{ 2} = 1.41421...[/tex]

I hope it helps.

Answer:

70.2

Step-by-step explanation:

777 = 10h + 75

=> 702 = 10h

=> h = 70.2

Therefore, it took 70.2 hours to lease the corvette.

Hoped this helped.

Answer:

0.62 < 5/8 < 0.71 < 0.8

That’s it in ascending order

0.8 > 0.71 > 5/8 > 0.62

That’s it in descending order

Step-by-step explanation:

Answer:

62%, 5/8, 0.71, 0.8

Step-by-step explanation:

62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8

Answer:

Step-by-step explanation:

Circumference of the garden is:

Number of rounds:

Radius=63m=r

Circumference

[tex]\\ \sf\longmapsto 2πr[/tex]

[tex]\\ \sf\longmapsto 2(3.14)(63)[/tex]

[tex]\\ \sf\longmapsto 6.28(63)[/tex]

[tex]\\ \sf\longmapsto 395.6m[/tex]

Rounds:-.

[tex]\\ \sf\longmapsto 1188/395\approx 3[/tex]

Answer:

29.4 minutes represents the 60th percentile

Step-by-step explanation:

Given :  The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.

To Find : Which time represents the 60th percentile?

 19.6 minutes

26.6 minutes

29.4 minutes

36.4 minutes

Solution:

time represents the 60th percentile

Means  60 % data = 0.6 below this

from z table ,  z score for this =  0.253

z score  = ( Value - Mean ) / SD

=> 0.253  = ( Value - 28 ) /5.4

=> 1.3662  =  Value - 28

=>  Value = 29.3662

=>  Value = 29.4

29.4 minutes represents the 60th percentile

Step-by-step explanation:

polynomial identities means equations where the left and the right side are always identical (no matter what values we use for the variables).

so,

A is not.

(x + 2)³ = x³ + 8

(x+2)(x+2)(x+2) = x³ + 8

(x² + 4x + 4)(x+2) = x³ + 8

x³ + 4x² + 4x + 2x² + 8x + 8 = x³ + 8

x³ + 6x² + 10x + 8 is definitely not generally the same as x³ + 8

B is not.

x⁶ + x = (x-1)(x⁵ + x⁴ + x³ + x² + x)

x⁶ + x = x⁶ + x⁵ + x⁴ + x³ + x² - x⁵ - x⁴ - x³ - x² - x

x⁶ + x = x⁶ - x

that is definitely not generally equal.

C is an identity

(x² - 1)(x⁴ + x² + 1) = x⁶ - 1

x⁶ + x⁴ + x² - x⁴ - x² - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

D is not.

(x+1)⁴ = x⁴ + x³ + x² + x + 1

(x+1)²(x+1)² = x⁴ + x³ + x² + x + 1

(x²+2x+1)² = x⁴ + x³ + x² + x + 1

x⁴ + 2x³ + x² + 2x³ + 4x² + 2x + x² + 2x + 1 =

x⁴ + 4x³ + 6x² + 4x + 1

that is definitely not generally the same as

x⁴ + x³ + x² + x + 1

E is an identity

(x+1)(x⁴ - x³ + x² - x + 1) = x⁵ + 1

x⁵ - x⁴ + x³ - x² + x + x⁴ - x³ + x² - x + 1 =

x⁵ + 1 = x⁵ + 1

yes, identical.

F is an identity

(x³-1)(x³+1) = x⁶ - 1

x⁶ + x³ - x³ - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.