if x=21 then y=49. What is the value of x when y=56?

• Sum of zeroes ( a + b ) = -3

• Product of Zeroes ( ab) = -5/2

• The quadratic equation .

As we know that :

• Quadratic equation

=> x² - ( sum of Zeroes )x + product of zeroes =0

Put the given values :

=> x² - (-3)x + ( -5/2) = 0

=> x² + 3x -5/2 = 0

=> (2x² + 6x -5) / 2 = 0

=> 2x² + 6x -5 = 0

Hence , the quadratic equation is 2x² + 6x -5 .

I hope it will help you.

Regards.

Answer:

a scalar between 0 and 1

Step-by-step explanation:

i just took the test on EdG. :)

To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

To answer the question, we need to know what scalars and vectors are

These are variables that have only magnitude.

These are variables that have both magnitude and direction.

Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.

So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.

So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

Learn more about vectors here:

https://brainly.com/question/25705666

#SPJ2

Answer:

The area of the circle is 18.84.

Step-by-step explanation:

You multiply pi (3.14) by the radius of the circle, which is 6, to get the area of any circle.

Answer:

cereal : pecans : raisins = 2 : 1.5 : 1

Step-by-step explanation:

Given:

The amount of cereal in snack mix = 4 cups

The amount of pecans in snack mix = 3 cups

The amount of raisins in snack mix = 2 cups

Therefore,

The total amount of snack = 4 cups + 3 cups + 2 cups = 9 cups

Now,

The ratio is given as:

=  

therefore,

Ratio of cereal in snack mix =  

and,

Ratio of pecans in snack mix =  

Ratio of raisins in snack mix =  

Now,

we have ratio as:

4 : 3 : 2

i.e cereal : pecans : raisins

taking 2 common

we get

2 : 1.5 : 1

therefore,

the maximum amount

Step-by-step explanation:

Answer:

f =  3x^2+ 1  / x

Step-by-step explanation:

Let's solve for f.

fx=3x2+1

Step 1: Divide both sides by x.

fx  / x  =  3x^2+1  / x

f=  3x2+1  / x

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = 3x² + 1

To obtain f(- 1) substitute x = - 1 into f(x) , that is

(8)

f(- 1) = 3(- 1)² + 1 = 3(1) + 1 = 3 + 1 = 4

(9)

Similarly

f(0) = 3(0)² + 1 = 3(0) + 1 = 0 + 1 = 1

(10)

Given

f(x) = 3x² + 1 and f(x) = 49, then equate right sides

3x² + 1 = 49 ( subtract 1 from both sides )

3x² = 48 ( divide both sides by 3 )

x² = 16 ( take the square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

That is x = - 4 or x = 4

Answer:

[tex]total \: earning \: in \: a \: week \: \\ = 14 \times \frac{77}{2} \\ = 7 \times 77 \\ = 539 \\ now \: pay \: for \: her \: friend \\ 539 \times \frac{1}{5} = 107.8[/tex]

Answer:

Answer in explanation

Step-by-step explanation:

y = 0.752x + 4.75

The independent variable will refer to what we have on the horizontal axis which is x. It is from these x we will get the values of the y

The dependent variable is the other variable asides the independent, in this case, the dependent variable is y

When we talk of the domain, we talk of the range of values from the independent variable axis

Here, these values are 0,1,2 or 3

Lastly, the domain refers to the range of values on the y-axis

To get this, we need to input the x-values digit into the equation one after the other

At x = 0

y = 4.75

At x = 1

y = 0.752 + 4.75 = 5.502

At x = 2

y = (0.752)2 + 4.75 = 6.254

At x = 3

y = 0.752(3) + 4.75

= 7.006

The range of values is between 4.75 and 7.006

Answer:

x=5

Step-by-step explanation:

2-3x = -x-8

Add 3x to each side

2-3x+3x= -x+3x-8

2 = 2x-8

Add 8 to each side

2+8 = 2x-8+8

10 =2x

Divide by 2

10/2 =2x/2

5 =x

Answer:

x=7

Step-by-step explanation:

(4+7+x+1+x+3+x+4+14+16)/7​=x+3

(11+x+1+x+3+x+4+14+16)/7​=x+3

(49+3x)/7​=x+3

49+3x/7​=x+3

49+3x​=7x+21

49=4x+21

28=4x

x=7

2x+x=180

3x=180

x=180/3

x=60

The constant of proportionality is the slope.

The slope is the change in Y over the change in x. (Y2 -y1) / (x2 -x1)

From a table use two set of values (x,y) subtract two y values from each other and then subtract the two corresponding x values from each other. Depending on the size of the table it’s a Leah a good idea to use the first and last set of values from the table.

From a graph locate two points on the line that you can get an accurate x and y value and subtract the two y values and the two x values: (y2 -y1) / (x2-x1).

From a written description there should be a reference two two different points, using the two referenced point subtract them like in the directions given above.

Answer: 5.5%

Step-by-step explanation:

Since the money invested has grown to $8300 and the principal was $600, this means the interest is:

= $8300 - $6500

= $1800

Simple interest = (Principal × Rate × Time)/100

1800 = (6500 × Rate × 5)/100

Cross multiply

1800 × 100 = 32500 × Rate

Rate = 180000/32500

Rate = 5.5%

Answer:

Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?

Step-by-step explanation:

i just did it

Step-by-step explanation:

i think the correct answer is j // k by the converse of the same side interior angles theorem

Answer:

$14

Step-by-step explanation:

Answer:

I cant see

Step-by-step explanation:

Answer:

dont have an answer yet...question too small to see...

Step-by-step explanation:

Answer:

x = 32.5

y = 65

Step-by-step explanation:

y = 65 degrees

65 and y are the base angles in an isosceles triangle ( single lines)  so they are equal

y+z = 180 since they form a straight line

65+z = 180

z = 180-65

z = 115

The second triangle is also an isosceles triangle so the base angles are the same as shown by x

180 = x+x+z

180 =2x+ 115

65 = 2x

Divide by 2

x = 32.5

Answer:

Step-by-step explanation:

[tex]\dfrac{5}{7}=\dfrac{5\cdot3}{7\cdot3}=\dfrac{15}{21}[/tex]

Yes, because you can multiply the numerator and denominator by the same number except 0. The fraction value does not change.

[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Given that , a dealer bought an article for Rs 1500 and sold it at a profit of 20% .

So , here ,

Since the article is sold at profit , the Selling price of the article will equal to Cost price + 20% of cost price .

Firstly let's Calculate 20% of 1500 .

= 20% of Rs 1500 .

= 20/100 × Rs 1500 .

= Rs 300 .

Hence we can find now Selling price as ,

[tex]\boxed{\green{\bf Selling\: Price=Cost\:Price+Profit}}[/tex]

⇒ SP = CP + Profit .

⇒ SP = Rs ( 1500 + 300 ).

⇒ SP = Rs 1800 .

Hence the required answer is Rs 1800.

Answer:

yes

Step-by-step explanation:

same slope

Answer:

yes same slope

Step-by-step explanation:

Answer:

The deepest point in the Baltic Sea relative to the surface is 459 meters.

Step-by-step explanation:

The average depth of the Baltic Sea is:

[tex] d_{1} = 52 m [/tex]

The deepest point in the Baltic Sea is (lower than this):

[tex] d_{2} = 407 m [/tex]

Hence, the deepest point in the Baltic Sea relative to the surface is given by:

[tex] d_{T} = d_{1} + d_{2} = 52 m + 407 m = 459 m [/tex]

Therefore, the deepest point in the Baltic Sea relative to the surface is 459 meters.

I hope it helps you!          

Answer:

The slope of the line would be 5/2

Step-by-step explanation:

Because if you put in the y-4=5/2(x-2) on the desmos calculator the line segment shows up and you will find the rise/run which is the equation to find a slope. So the rise I counted was 5 and the run was 2. Therefore the fraction would look like this: 5/2

Answer:

The total area codes that are currently available is 692.

Step-by-step explanation:

The area code is of the form: NXX.

The variable N can take values,

N = {2, 3, 4, 5, 7, 8 and 9}

The variable X can take values,

X = {0, 1, 2, 3, 4, 5, 7, 8 and 9}

Considering that repetitions are allowed.

The total possible number of area codes is:

T = 8 × 10 × 10 = 800

So, there are 800 possible area codes.

The exception codes are:

{37X, 96X, N9X and N11}

So, the number of reserved area codes is, 10 + 10 + 80 + 8 = 108.

Then the area codes that are currently available is, 800 - 108 = 692

Thus, the total area codes that are currently available is 692.

Answer:

so what are you asking

Step-by-step explanation:

Answer:

Im not sure. but isnt the answer 15

Step-by-step explanation:

Because to find the shaded amount you would do 3x5 and get 15.

Answer:

I'm not sure tbh but I'm pretty sure the answer is 15

Step-by-step explanation:

Answer:

whats the question

Step-by-step explanation:

whats the question

Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Step-by-step explanation:

Took the test

Answer:

Step-by-step explanation:

Let the number of hours used to rent the boat be represented by h.

Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:

= $20.50 + $12.25h

where h = number of hours used.

The cost for 1 hour will be:

= $20.50 + $12.25h

= $20.50 + $12.25(1)

= $20.50 + $12.25

= $32.75

The cost for 2 hours will be:

= $20.50 + $12.25(2)

= $20.50 + $24.50

= $45

The cost for 3 hours will be:

= $20.50 + $12.25h

= $20.50 + $12.25(3)

= $20.50 + $36.75

= $57.25

The cost for 4 hours will be:

= $20.50 + $12.25h

= $20.50 + $12.25(4)

= $20.50 + $49

= $69.50

=

Answer:

8.0

Step-by-step explanation:

Answer:

8.0, 7.95, 8.0

Step-by-step explanation:

I don't know how I'm supposed to explain this but um. Yeah those are the answers