Given the following information, write the linear equation in slope-intercept form.
3. slope = 1/3; y-intercept = -1
4. slope = 2/5; y-intercept = 0
5. slope = -1; y-intercept = 4​

Answer: P(x) = (-1/4)*(x + 4)*(x + 4)*(x - 6)

Step-by-step explanation:

The factored form of a polynomial is:

P(x) = A*(x - r₁)*(x - r₂)*(x - r₃)....

Where:

A is a real number.

r₁, r₂,.... etc

are the roots.

In this case, we know that the roots are:

-4, -4, and 6.

Then the polynomial will be:

p(x) = A*(x + 4)*(x + 4)*(x - 6)

Now we also know that this polynomial passes through the point (2, 36)

This means that:

P(2) = 36 = A*(2 + 4)*(2 + 4)*(2 - 6) = A*6*6*(-4) = A*(-144)

          36 = A*(-144)

        -36/144 = A

          -0.25 = -1/4 = A

Then the polynomial is:

P(x) = (-1/4)*(x + 4)*(x + 4)*(x - 6)

Answer:

The magnitude of w is approximately 26.

The angle between w and u is approximately 32.2°.

Step-by-step explanation:

The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees and this can be determined by using the given data.

Given :

a) The magnitude of 'w' is calculated using the below formula:

[tex]w = \sqrt{u^2+v^2+2uvcos\theta }[/tex]

Now, substitute the values of u, v, and [tex]\theta[/tex] in the above formula.

[tex]w = \sqrt{14^2+16^2+2\times14\times16\;cos120 }[/tex]

Simplify the above expression.

[tex]w =15.1[/tex]

b) The angle between w and u is calculated using the below formula:

[tex]tan\beta =\dfrac{vsin120}{u+vcos120}[/tex]

Now, substitute the above values of u and v in the above expression.

[tex]tan\beta =\dfrac{14\times sin120}{14+16\times cos120}[/tex]

Simplify the above expression in order to determine the value of [tex]\beta[/tex].

[tex]\beta = 62.67^\circ[/tex]

The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees.

For more information, refer to the link given below:

https://brainly.com/question/13188123

Answer:

i am so sorry that i dont know

Answer:

its b

Step-by-step explanation:

they have the same slope

1)-4/-6=2/3

2)-2/-3=2/3

BUT different y-int

1)-6/-26=1/4

2)-3/-6=1/2

so no solution

Answer:

8 meters

Step-by-step explanation:

This is a question that deals with Proportion

Height of flagpole/Shadow of flagpole = Height of Luke/Shadow of Luke

Length of the shadow of Luke = x

= 12/24 = 4/x

We cross Multiply

12 × x = 24 × 4

x = 24 × 4/12

x = 8 meters

Hence, the length of the shadow of Luke = 8 meters

Answer:

Step-by-step explanation:

1. Make a proportion.

Set the numbers equal to each other.

I chose the numbers 9, 12, 15, and of course x.

Make the fractions in a way that the x is in the numerator if you want to make your life easier.

15/9 = x/12

2. Simplify

Cross multiply the numbers.

This will give you the equation of

9*x and 15*12

3. Make an equation

Simplify the numbers by mulitplying them

9x = 180

4. Divide both sides by 9

9x = 180

/9      /9

Hope this helped,

Kavitha Banarjee

hi

You have two points     A ( X;Y)  and B ( X ; Y)

slope is   :    ( Yb -Ya)   / (Xb -Xa )

A(2 ; 1)  and  B (17 ; - 17)  

so   :  (-17 - 1 )  / (17 -2) =  -18/ 15 =  - 6*3 / 5*3 =  -6/5

Answer:

a) 10 = X + Y

b) X = 1, Y = 9

X = 2, Y = 8

X = 3, Y = 7

X = 4, Y = 6

X = 5, Y = 5

i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.

Step-by-step explanation:

The given parameters are;

The number of songs in the playlist on her phone = 10

The number of authors of the songs on her playlist = 2

The equation that represent the situation is given as follows;

X + Y = 10

Where X represent the number of Beyonce's song on her playlist and Y represent the number of Jennifer Lopez's song on her playlist

b) 5 possible solutions are;

X = 1, Y = 9

X + Y = 1 + 9 = 10

Which gives 1 Beyonce's and 9 Jennifer Lopez's songs

X = 2, Y = 8

X + Y = 2 + 8 = 10

Which gives 2 Beyonce's and 8 Jennifer Lopez's songs

X = 3, Y = 7

X + Y = 3 + 7 = 10

Which gives 3 Beyonce's and 7 Jennifer Lopez's songs

X = 4, Y = 6

X + Y = 4 + 6 = 10

Which gives 4 Beyonce's and 6 Jennifer Lopez's songs

X = 5, Y = 5

X + Y = 5 + 5 = 10

Which gives 5 Beyonce's and 5 Jennifer Lopez's songs

i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.

19 & 20  are the reqd. integers.

By what is given,  x + ( x + 1 ) = 39 .

∴ 2 x + 1 =39.

∴ 2 x = 39 − 1 = 38 .

∴ x = 19 ,  so,  x + 1 = 20 .

Thus,  19 & 20  are the reqd. integers.

Answer:

18

Step-by-step explanation:

Add all the sides. But you are missing two sides. Soo since the top is 4, the bottom is two bc half is two. then the right side is 5 and the left, half is 2 so the other half is 3. 3+2=5! soooo the perimeter is 18.

Answer:

18

Step-by-step explanation:

We add up the side lengths,

[tex]5+4+3+2+2+2= 18[/tex]

by finding missing side lengths with subtraction and logic

and I'm pretty sure this is correct, but I like double-checking things.

This figure is made out of 2 rectangles,

2x5 and 3x2

The perimeter of each is 14 and 10

[tex]14+10-3-3=18[/tex]

the two 3's are the over lapping sides

We also get 18.

Answer:

a=8

b=5

x=13

Step-by-step explanation:

Use Pythagoras's Theorem to find A

h²=y²+z²

10²=a²+6²

100=a²+36

∴a²=64

∴a=8

Use Pythagoras's Theorem to find A

h²=y²+z²

9²=b²+6²

81=b²+36

∴b²=45

∴b=3√5

x=a+b

=8+3√5

Answer:

a = 8

b = ∛5

x = 8 + ∛5

Step-by-step explanation:

I think here we have to do pythagorean theorem a² + b² = c² or c =√a² + b²

Now just plug in the numbers for 9, 6 and b

6² + b² = 9²

36 + b² = 81

b² = 45

b = 6.70820....

b = ∛5

∛5 = 6.70820..

Now plug in 6, 10, a

a² + 6² = 10²

a² + 36 = 100 (subtract 36 on both sides)

a² = 64

√64 = 8

a = 8

NOW X

8 + √45 = 14.708203

8 + ∛5 = 14.708203

x = 8 + ∛5

Hope this helps ya!!!

Answer:

60/100 divided by 2

Step-by-step explanation:

60%= 60/100

100 divided by 2 is 50

( what you do to the top you do to the bottom)

60 divided by 2 is 30

60/100= 30/50

So the answer is 30

Answer:

No, yes, yes, no

Step-by-step explanation:

23.6/4.02=5.87

2.36/40.2=0.0587

2360/402=5.87

2.36/0.402=5.87

236/4020=0.0587

Note: The must be [tex]0.04v^2[/tex] instead of [tex]0.04v[/tex].

Given:

The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:

[tex]d=0.04v^2+1.1v[/tex]

To find:

The stopping distance for a velocity of 10 miles per hour.

Solution:

We have,

[tex]d=0.04v^2+1.1v[/tex]

where, d is stopping distance and v is velocity.

Substitute v=10  in the given equation to find the stopping distance for a velocity of 10 miles per hour.

[tex]d=0.04(10)^2+1.1(10)[/tex]

[tex]d=0.04(100)+11[/tex]

[tex]d=4+11[/tex]

[tex]d=15[/tex]

So, the stopping distance for a velocity of 10 miles per hour is 15 ft.

Therefore, the correct option is c.

Step-by-step explanation:

make the coefficients same

then if sign are same subtract the one you wanna cancel it then here it goes

lam gonna start making coefficient of x sam like this:

4.X+7y= -37

1.4X-3y=7

then i will subtract all x or cancel to each other then

4X+28y= -148

-

4X-3y=7

and then -×-=+

add all y

31y=141

y= 4.55 then we take one of the equation then substitute y to 4.55 so i chose first equation

X+7(4.55)=-37

X+31.85=-37

so take 31.85 to the side it will become -31.85

then X=-37-31.85

X=68.85

i hope that it will help you

Answer:

Step-by-step explanation:

Step one:

given data

total number of weeks =52 weeks

study time per week is = 10 hours

total study time for the year = 52*10

=520 hours per year.

Step two:

given that the value of the scholarship for one year is $50,000.

we want to find the amount that an hour of study brings

so we have to divide the total scholarship by the amount of study time

50000/520

=$96.15

your hourly return on your investment in study time is $96.15

Answer:

$30.41

Step-by-step explanation:

Given that:

Discount off = 15%

Original price = $45

Mark down on item = 25%

Sales tax on final price = 6%

Cost of Jean will be ;

Mark down price :

Original price - (Original price * markdown %)

$45 - ($45 * 0.25) = $33.75

Discounted price :

Markdown price - (markdown price * discount %(

$33.75 - (33.75 * 0.15)

= $28.6875

Final price :

Discounted price + (sales tax * discounted price)

28.6875 + (0.06 * 28.6875)

= $30.40875

= $30.41

Answer:

[tex] \frac{28}{45} [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

There isn't a picture

Step-by-step explanation:

Answer:

A)3

Step-by-step explanation:

if im wrong tell me and i will do it again

HOPE THIS HELPS:::)))

Answer:

y=x+4

Step-by-step explanation:

slope intercept form: y=mx+b

m is the slope of the line and b is the y-intercept

slope: 1

y-intercept: 4

hopefully this helps :)

Answer:

y=x+4

Step-by-step explanation:

y=mx+b

m-is the slope and b-is the y-intercept

(x, y) = (0,4)

4=0+b so b =4

substitute in the equation

y=x+4

Answer:

rectangular garden

Step-by-step explanation:

Answer:

10,244 pounds

Step-by-step explanation:

|R|= √(7,500+10,000cos110)²+(10,000sin110)²

|R|= about 10,244 pounds

thats how i did it :I

Answer:

B

Step-by-step explanation:

Edge 2021

9514 1404 393

Answer:

  false

Step-by-step explanation:

You can check to see if the sum of squares of the smaller two numbers is equal to the square of the larger.

  8² +15² vs 17.5²

  64 +225 vs 306.25

At this point, you need go no further. The sum of two integers will not have a fractional part, so cannot be equal to 306.25.

  289 vs 306.25 . . . . the long side is too long for a right triangle.

__

If you were familiar with some of the Pythagorean triples, you would know that the closest triple is {8, 15, 17}, so (8, 15, 17.5) does not represent a right triangle.

A few common Pythagorean triples are ...

  {3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}

Answer:

w=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

10w=6+24

10w=(6+24)(Combine Like Terms)

10w=30

10w=30

Step 2: Divide both sides by 10.

10w /10= 30 /10

w=3