1. Write the three whole numbers after 20889.
2. How many whole numbers are there between 32 and 53?

Answer:

no solution.

Step-by-step explanation:

given that, y = 3x-1

so,

in equation, 3x-y = 9

putting the value of y here,

3x-(3x-1) = 9

3x-3x+1 = 9

3x and 3x is cancelled.

hence, no solution

Answer:

The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.

Step-by-step explanation:

The range of the function is the set of real number for [tex]y[/tex]. The rational function of the form [tex]y = \frac{a}{x}[/tex], where [tex]a[/tex] is a constant, has a range represented by the subset of nonzero real numbers. This is: [tex]Ran\{f(x)\} = \mathbb{R}-\{0\}[/tex]

Hence, the correct answer is: The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.

Answer:

Amount of red paint needed for 1500 ml yellow paint = 400 ml

Step-by-step explanation:

Given:

ration of red paint to yellow paint = 4 ml to 15 ml

Find:

Amount of red paint needed for 1500 ml yellow paint

Computation:

Amount of red paint needed for 1500 ml yellow paint = [ration of red paint to yellow paint]1500

Amount of red paint needed for 1500 ml yellow paint = [4/15]1500

Amount of red paint needed for 1500 ml yellow paint = [4]100

Amount of red paint needed for 1500 ml yellow paint = 400 ml

Answer:

Step-by-step explanation:

use formula

(x,y)=(kx,ky)   (k means scale factor)

A(1,1)=A'(1*2,1*2+

A'=(2,2)

B(3,1)=B'(3*2,1*2)

B'=(6,2)

C(3,-3)=C'(3*2,-3*2)

C'=(6,-6)

The given statements are,

1. BC and B'C' are the same line, is true.

And, 2. AB and A'B' are both parallel to x - axis, is true.

Here,

Triangle A'B'C' is the result of dilating ABC about point P by a scale factor of 2.

What is dilation?

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now,

For finding the points of A', B', C' we used formula,

(x, y) = (kx, ky)

Where k is scalar factor.

Here, A = ( 1, 1 ) ⇒A' = ( 2X1, 2X1) = ( 2, 2 )

And, B = ( 3, 1 ) ⇒ B' = ( 2X3, 2X1 ) = ( 6, 2 )

And, C = ( 3, -3 ) ⇒C' = ( 2X3, 2X-3 ) = ( 6 , -6 )

Hence, clearly by all points,

BC and B'C' are on the same line.

And, AB and A'B' are both parallel to x - axis.

Both are true.

Learn more about the dilation visit:

https://brainly.in/question/3154626

#SPJ2

Answer:

the correct answer is -0.5%

Answer:

y-int = (0, -6)

Step-by-step explanation:

The y-intercept is the b-value of the equation of the line y = mx+b

To find the y-intercept plug in 0 for the x-value:

y=3(0) - 6

y= -6

-> x = 0, y = -6

I think 4 but I could be wrong

Answer:

281.88

Step-by-step explanation:

522X.5(50%)=261 discount

522-261=261=sales price

261X.08=20.88 sales tax

261+20.88=281.88 sales price including sales tax

Answer:

no

Step-by-step explanation:

Complete Question

En una piscina con forma rectangular mide 10 metros de largo y 4 metros de

ancho y se sabe que para llenar la piscina se necesitan 100 000 litros de agua.

a) ¿Cuál es el volumen de la piscina?

b) ¿Cuál es la profundidad de la piscina?

Answer:

a) ¿Cuál es el volumen de la piscina?

= 100 m³

b) ¿Cuál es la profundidad de la piscina?

= 2.5m

Step-by-step explanation:

a) Se nos da la cantidad de litros de agua necesarios para llenar la piscina = 100000 litros

Conversión a cm³

1 litro = 0.001 m³

100000 litros = x

x = 100000 × 0.001 m³

x = 100 m³

b) La profundidad de la piscina se calcula como:

Volumen de la piscina ÷ (Largo × Alto)

Longitud = 10 m

Altura = 4 m

Por eso,

100 m³ ÷ (10 m × 4 m)

100 m³ ÷ 40 m²

= 2.5 m

Respuesta:

a) 1000m³

b) 25m

Explicación paso a paso:

Pregunta completa;

Piscina de forma rectangular, mide 10 metros de largo por 4 metros de alto.

de ancho y se sabe que se necesitan 100.000 litros de agua para llenar la piscina.

a) ¿Cuál es el volumen de la piscina?

b) ¿Cuál es la profundidad de la piscina?

Dado que 1m³ = 1000litros

x = 100.000 litros

Cruz multiplicar

100.000 * 1 = 1000x

100.000 = 100x

x = 100.000 / 100

x = 1000

Por lo tanto, el volumen de la piscina es de 1000 m³.

Voume = largo * ancho * profundidad

1000 = 10 * 4 * d

1000 = 40 días

d = 1000/40

d = 25

Por lo tanto, el tanque tiene 25 m de profundidad.

Answer:

B.

60 minutes

1 hour

Answer:

Cantidad total de lapices= 76

Step-by-step explanation:

Dada la siguiente información:

Costo por docena= $0.79

Presupuesto total= $5

Para calcular la cantidad total de lapiceras que se pueden comprar con $5, debemos usar la siguiente formula:

Cantidad total de lapices= presupuesto total / costo por docena

Cantidad total de lapices=  5 / 0.79

Cantidad total de lapices= 6.33

Para ser mas exactos:

0.33*12= 4

Cantidad total de lapices= 6*12 + 4

Cantidad total de lapices= 76

Answer:

angle B = 33.42

Step-by-step explanation:

take angle B as reference angle

using tan rule

tan B = opposite/adjacent

tan B = 6/9

tan B = 0.66

B = [tex]tan^{-1} (0.66)[/tex]

B = 33.424

B = 33.42

Answer: 35 notebooks

Step-by-step explanation:

Answer:

The sum of the first 18 terms is 270.

Step-by-step explanation:

First the 18th term is calculated which is gotten using the following steps below:

an = a1 + d ( n - 1 )

Where, an =18th term

a1= first term (-2)

d = difference

n = 18

Therefore, 18th term

an= -2 + 2 (18 - 1)

= -2 + 2 (17)

= -2 + 34

18th term = 32

To calculate the sum of the first 18th terms the following steps are used,

Sn = n(a1 + an)/2

Where,

Sn = sum of 18th term

n = 18

a1 = -2

an = 18 term

Therefore,

Sn = 18 (- 2+ 32)/2

= 18 (30)/2

= 18 ×30 /2

= 540/2

= 270

Answer:

10, 1 remaining

Step-by-step explanation:

Each team can have 10 people but there will be a remaining person that will not be able to participate.

31 ÷ 3= 10.33333333

Hope this helped :)

Step-by-step explanation:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

Given:

The center of the circle = (-2,5)

The radius of the circle = [tex]3\sqrt{2}[/tex] units.

To find:

The equation of the circle is standard form.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]               ...(i)

Where, (h,k) is the center of the circle and r is the radius of the circle.

It is given that the center of the circle is (-2,5). So, [tex]h=-2,\ k=5[/tex].

The radius of the circle is [tex]3\sqrt{2}[/tex] units. So, [tex]r=3\sqrt{2}[/tex].

Putting [tex]h=-2,\ k=5[/tex] and [tex]r=3\sqrt{2}[/tex] in (i), we get

[tex](x-(-2))^2+(y-(5))^2=(3\sqrt{2})^2[/tex]

[tex](x+2)^2+(y-5)^2=18[/tex]

Therefore, the equation of the circle is [tex](x+2)^2+(y-5)^2=18[/tex].

Answer:

B. 1

[tex] - 4x + 3y = 12 - - - (a) \\ x + y = 2 - - - (b) \\ (a) - 3 \times (b) : \\ - 7x + 0y = 6 \\ { \boxed{x = - \frac{6}{7} }} \\ - \frac{6}{7} + y = 2 \\ { \boxed{y = \frac{20}{7} }}[/tex]

Answer: no I'm actually horrible at math too sorry

Answer:

(2,7) I think

Step-by-step explanation:

Answer:

(2,7)

Step-by-step explanation:

It's funny, this is the exact topic I just learned.

Ok, 2,-7 would be in the fourth quadrant (IV).

So using this information if we want to reflect it over the x axis, the point would just got over the x axis in quadrant 1. We know that quadrant 1 is (++) so the ordered pair MUST be positive. Hence the answer of (2,7)

Hope this helps!

Answer:

25 percent is the answer to your question.

Answer:

4. 78,020,008 4. Seventy-eight million, twenty thousand, eight

5. 20,011,012 5. 20,000,000 + 11,000 + 12

6. 50,000 7. 900 8. 70,000,000 9. 30,000,000

Answer:the left one

Step-by-step explanation:

Answer:

Step-by-step explanation:

A horizontal line is a "y =  " line. So the horizontal line that goes through the point given has the equation y = -1 (-1 being the y coordinate of the point). That means that another point on this line, y = -1, will also have to have a y coordinate of -1. The only one is the last one, (-2, -1).

Answer:

D

Step-by-step explanation:

I just took the test

Answer:

D. (3. —1)

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Turning point of a quadratic function:

The turning point of a quadratic function is the vertex.

y = x2 — 6x + 8

This means that [tex]a = 1, b = -6, c = 8[/tex]

Now, we find the vertex.

[tex]x_{v} = -\frac{b}{2a} = -\frac{-6}{2(1)} = 3[/tex]

[tex]\Delta = b^2-4ac = (-6)^2-4(1)(8) = 36 - 32 = 4[/tex]

[tex]y_{v} = -\frac{4}{4(-1)} = -1[/tex]

(x,y) = (3,-1), and the correct answer is given by option D.