Write the equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5).

For the relation to not to be a function we need the same value of x in (x,y) that gives off different values (y).

Now plugging in the value of k,

hence , the relation won't be function if k would be equal to 3

The value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.

In general terms, a function is a mathematical rule or relationship that maps one set of values (the input or domain) to another set of values (the output or range). In other words, it's a specific process that takes some input and produces a corresponding output.

For the given relation R to be a function, each input in the domain should have exactly one corresponding output in the range.

We can determine whether the relation R is a function by checking if both ordered pairs have the same first coordinate. If they do, then the relation is not a function.

Let's equate the first coordinate of the ordered pairs:

2k+1 = 3k-2

Solving for k, we get:

k = 3

If we substitute k = 3 into the relation, we get:

R = {(2(3)+1, 3), (3(3)−2, −6)}

R = {(7, 3), (7, -6)}

Since both ordered pairs have the same first coordinate of 7, the relation R is not a function.

Therefore, the value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.

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Answer:

3x+12y=0

Step-by-step explanation:

x+2x=3x

5y+7y=12y

-3+3=0

Hello-

Here is the way that I learned to multiply decimals. First, remove the decimal points.

2.37 X 1.6

237 X 16

Then you multiply the numbers.

237 X 16 = 3792

Now, we move the decimal point three places to the left on our answer.

3.792

3.792 is our answer.

Answer: $9

Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.

Answer:

Step-by-step explanation:

4.  m < 1 + m < 4 + m < 5 = 180

Answer:

The median is 9

The Range is 13-5=8

The mean is 5+5+9+11+13/5=43/5=8 3/5=8.6

Answer:

372

Step-by-step explanation:

This is because the formula is a+b/2 x h and 7 is a 24 is b and the other 24 is h so 7 + 24 = 31/2 x 24 is 312

Answer:

c = 12

Step-by-step explanation:

This is a special triangle, also known as the 30-60-90 triangle. See the help image attached for another special triangle known as the 45-45-90 triangle. 30-60-90 triangle has specific rules that we can apply to this problem:

With that being said....

c = 2x

6 = x

a = x√3

We know that x = 6, so now solve for a & c:

c = 2(6) = 12

a = 6√3

Hope this helps!

The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex].

A matrix A has an inverse matrix if and only if its determinant is different than 0. Given that we have a matrix formed by 2 rows and 2 columns, we can obtain the following inverse matrix by using the following formula:

[tex]\vec A ^{-1} = \frac{1}{\det (\vec A)} \cdot adj (\vec A)[/tex]   (1)

Where [tex]adj (\vec A)[/tex] is the adjoint of the matrix, which is the transposed of the cofactor matrix.

If we know that [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex], then the inverse of the matrix is determined below:

[tex]\det (\vec A) = -2[/tex]

[tex]adj (\vec A) = \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]

[tex]\vec A^{-1} = -\frac{1}{2}\cdot \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]

[tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]

The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]. [tex]\blacksquare[/tex]

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Answer:

The given quadratic expression can be factored as (2x - 3)(x + 1).

So  x + 1 = x - m ⇒ m = -1.

Step-by-step explanation:

Answer:

I hope this helps, you can ask any questions for clarification

x+y=35

1.89x+2.59y=79.95

y=35-x (and now we put this instead of 'y' in the second equation)

1.89x+2.59(35-x)=79.95 (now we solve this equation)

1.89x+90.65-2.59x=79.95

0.7x=10.7

x=15

y=35-15=20

ANSWER:

15 apples

20 oranges

Answer:

you have to find the common ratio between the y and the x, like what you have to multiply x by to get y

Step-by-step explanation:

like if your table is

x / y

-2. 6

-1. 3

0. 0

1. -3

2. -6

the ratio would be -3

Answer:

C) 36 inches

Step-by-step explanation:

Let the diagonal be the hypotenuse and use Pythagoras' Theorem:

[tex]a^2+27^2=45^2\\a^2+729=2025\\a^2=1296\\a=36[/tex]

So, the length of the TV was 36 inches.

The volume of the composite fiqure as shown in the diagram above is 300 cm³.

A composite fiqure is a fiqure that can be divided into mor than one of the basic shapes.

Note: The composite fiqure is made up of two different cubiods

To calculate the volume of the composite fiqure, we use the formula below.

Formula:

Where:

Given:

Subsitute these values into equation 1

Hence, The volume of the composite fiqure as shown in the diagram above is 300 cm³.

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Evaluando la función dada, veremos que la dosis para el niño debe ser 640 mg.

La funcion que debemos utilizar es:

d = 0.08*A*D

Donde, A es la edad del niño, en este caso: A = 8

D es la dosis correspondiente para un adulto, D = 1,000 mg

Reemplazando eso obtenemos:

d = 0.08*8*1,000mg = 640mg

Así, podemos concluir que al niño se le debe recetar una dosis de 640 mg.

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Answer:

x=10, CB=24

Step-by-step explanation:

To find x, we know that CD=AB. So first we set up an equation.

5x-18=2x+12

then we solve.

5x-18=2x+12

5x=2x+30

3x=30

x=10

To find CB, plugin x.

3(10)-6

30-6

24

CB=24

Answer: 1/4

Step-by-step explanation: 1/8 plus 1/8 is 2/8. it can be simplified to 1/4

Answer:

155.52mm

Step-by-step explanation:

the area of the rectangle. 16×16=256. the area of the semicircle. 3.14×8×8=100.48. subtract the semicircle from the rectangle 256_100.48= 155.52mm

Answer:

27.47 square mm

Step-by-step explanation:

Area square = 16x16= 256

           Half square=     255/2=128

Area circle    pi x 64 = 201.06...

semicircle        201.06.../2 = 100.53

                128-100.53 =27.47    

Answer:

193.4 meters squared

Step-by-step explanation:

Area of rectangle = 7 X 15 = 105

Area of semi circle = 1/2 X π X R^2

R = 7.5

R squared = 56.25

π = 3.1415932654........

1/2 X 3.1415.... X 7.5^ 2 = 88.35729338

Rounded to one decimal place = 88.4

105 + 88.4 = 193.4m^2

Answer:

14

Step-by-step explanation:

Hope it helps

Answer: 1,600 sq units.

Step-by-step explanation: The perimeter of a square field is 160.  When finding the perimeter of a square, all sides are the same, so you're adding four sides that have the same number to make 160.  You can add 40 four times to make 160, so that gives us a hint of what all the square's sides are, which are 40.  To find the area of a square, you need to multiply one side by the other.  All sides of the square are 40, so we'll multiply 40 two times to make 1,600 sq units.  Therefore, 1,600 sq units is your answer.

Have a great day! :)

Answer: 55 mph

Step-by-step explanation: rate=distance/time=275/5=55 miles per hour

Answer:

congruent

Step-by-step explanation:

if r_1=r_2 then, they should be the same... -congruent

Answer:

total marbles=3+10+8+4=25 marbles total

10 blue marbles/25 total marbles

10/25=2/5 probability

Step-by-step explanation:

Answer:

it's.. parallelogram..

Step-by-step explanation:

mark me brainliest

Answer:

That is a parallelogram.

Step-by-step explanation:

Not a square, not a rectangle, not a trapezoid.

Answer: 12 gallons.

Step-by-step explanation: It takes 4 cups to make 1 quart.  It takes 4 quarts to make a gallon.  If you do the calculations, it takes 16 cups in total to make 1 gallon.  By dividing 192 / 16, you 12, which is how many gallons you get when you have 192 cups.

Let me know if this is right! :)

Answer:

x=30

Step-by-step explanation:

x = x

half of x  = (1/2) x = "its half"

third of x = (1/3) x = "its third"

"A number x when added to its half" = x + (1/2)x

"its third increased by 35" = (1/3)x + 35

according to the prompt, these two are equal, so

x + (1/2) x = (1/3)x + 35

x = 1x = (2/2)x to match denominators

(2/2)x + (1/2)x = (1/3)x + 35

= (3/2)x

(3/2)x = (1/3)x + 35

subtract (1/3)x from both sides to isolate the variable and its coefficients

(3/2)x - (1/3)x = 35

multiply both sides by 6 as that is the lowest common multiple of both 2 and 3 (2*3 = 6 so 6 is a multiple of both)

9x - 2x = 35*6

7x = 210

divide both sides by 7 to isolate x

x = 30

24+24

.

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

Answer:

y goes from the top to the bottom postive to negative. Then x is from left to right. The left is negative the right is postive.

Step-by-step explanation: