Solve the equation: (1 - 2x)(1 - 3x)=(6x - 1)x - 1

The equation is:

3n - 3 = 2n + 19

=> 3n - 2n = 19 + 3

=> n = 22

So, the answer is 22.

9514 1404 393

Answer:

  72°

Step-by-step explanation:

In a properly constructed pie chart, the proportion of the circle devoted to each section is the same as the proportion of that section to the the whole.

  (6 swim days)/(30 days) = (swim pie angle)/(360°)

Multiply by 360° to find ...

  swim pie angle = (360°)(6/30) = 72°

72° of the circle should represent swimming.

Answer:

y int = -6

x = 1 axis symmetry

vertex : (1,-8)

x int: (3,0),(-1,0)

Step-by-step explanation:

where's the number line?

maybe u can attach it at the comments:)

Answer:

Section B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The perimeter of a square has a formula P = s + s + s + s or just P = 4s where s is the length of a side. If this perimeter has a number value, we can plug it in and solve for the length of each side, like this:

36 = 4s so

s = 9 cm. And there you go!

Answer:

67

Step-by-step explanation:

GOOD LUCK!!

Answer:

x= -33

Step-by-step explanation:

expand the equation : 2/3x +4 =-18

Then simplify to 2/3x=-22

multiply both sides by 3/2x to get x=-33

Answer:

x = -33

Step-by-step explanation:

2/3(x+6) = -18

x + 6 = (3/2)(-18)

x + 6 = -27

x = -33

Step-by-step explanation:

simply take the average of the x and y coordinates

Answer:

y = -2x + 1

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 3 / 2 - (-1)

-6 / 3

= -2

y = -2x + b

3 = -2(-1) + b

3 = 2 + b

1 = b

Answer:

You'll have a closed circle at x = 2, and shading to the left

See the diagram below

=========================================================

Explanation:

The fractions here are 3/7 and 21/2. The denominators of which are 7 and 2 respectively. The LCD is 7*2 = 14.

If we multiply both sides by 14, then this will clear out the denominators and make the fractions go away.

So if we multiplied both sides by 14, then we have these steps

[tex]\frac{3}{7}(35x-14) \le \frac{21x}{2}+3\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}+3\right)\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}\right)+14*\left(3\right)\\\\6(35x-14) \le 147x+42\\\\[/tex]

--------------------------

Let's isolate x

[tex]6(35x-14) \le 147x+42\\\\6(35x)+6(-14) \le 147x+42\\\\210x-84 \le 147x+42\\\\210x-147x \le 42+84\\\\63x \le 126\\\\x \le 126/63\\\\x \le 2\\\\[/tex]

The graph of this will consist of a closed or filled in circle at x = 2. We shade to the left to represent numbers smaller than 2.

So either x = 2 or x < 2.

If we used an open hole at 2, then we wouldn't be including 2 (but we want to include this endpoint).

See the diagram below.

Answer:

4/7 as a decimal is 0.57142857142857.

Answer:

the formula for the volume of a square pyramid is V=a^2*h/3

so if we just put in the data

12^2*10/3

144*10/3

480

so the answer is B

Hope This Helps!!!

Answer:

14)= 2/3/23 × 1/9/14

= 49/23 × 23/14 = 3/1/2

U CAN USE A CALCULATOR to find the rest......If u have one....

Step-by-step explanation:

11. 1.8

12. 22.6

13. 1.66

14. 3.5

[tex]\bf \large \hookrightarrow \:( - 9) \: \times \: 5 \: \times \: 6 \: \times \: ( - 3) \\ \\ \bf \Large \hookrightarrow \: \: \: - 45 \: \times \: ( - 18) \\ \\ \bf \Large \hookrightarrow \: \: 810[/tex]

Answer:

Amount of plastic need to cover paper role = 565.2 inches

Step-by-step explanation:

Given:

Diameter of paper role = 10 inch

Height of paper role = 13 inch

Find:

Amount of plastic need to cover paper role

Computation:

Radius of paper role = Diameter of paper role / 2

Radius of paper role = 10 / 2

Radius of paper role = 5 inch

Amount of plastic need to cover paper role = Total surface area of cylinder

Amount of plastic need to cover paper role = 2πr(h+r)

Amount of plastic need to cover paper role = 2(3.14)(5)(13+5)

Amount of plastic need to cover paper role = (3.14)(10)(18)

Amount of plastic need to cover paper role = 565.2 inches

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]

Here 5 is a constant so it can come out . So that,

[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]

Now we can write √x as ,

[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]

Simplify ,

[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]

On simplifying we will get ,

[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]

Answer

5

All you need to know to solve this problem is the pythogorean theorem. If you draw an imaginary line to make a triangle and a rectangle, you already know the height is 4. To find the base, you know that the bottom length is 9 and the top is 6 so 9-6 =3, which is the length of only the left side of the imaginary line.

So 4^2 + 3^2 = c^2

25 = c^ 2

5 = c

Hope that helps!

Answer:

m = -4

Step-by-step explanation:

The given expression is :

[tex](17)^{3}\cdot(289)^{-6}=(17)^{2m-1}[/tex]

We need to find the value of m

We know that, 17² = 289

So,

[tex](17)^{3}\cdot(17^2)^{-6}=(17)^{2m-1}\\\\(17)^{3}\cdot(17)^{-12}=(17)^{2m-1}[/tex]

Also,[tex]x^ax^b=x^{a+b}[/tex]

So,

[tex]17^{3-12}=17^{2m-1}\\\\17^{-9}=17^{2m-1}\\\\\implies -9=2m-1\\\\-9+1=2m\\\\-8=2m\\\\m=-4[/tex]

So, the value of m is equal to -4.

Answer:

I believe the answer should be 0 to -1

Step-by-step explanation:

the range of a function is the lowest y value to the highest y value of that function. so in that example, the lowest y value you have on that curved line is at 0, and the highest y value you have on that curved line is 1, so the range should be from 0 to 1, or {0, 1}.

Answer:

45

Step-by-step explanation:

x/3 + 8 =23

=> x/3 = 23-8

=> x/3 = 15

=> x = 15 x 3

x = 45

Answer:

x=45

Step-by-step explanation:

To find x isolate the variables by using the properties of equality. First, subtract 8 from both sides, [tex]\frac{x}{3} = 15[/tex]. Then multiply both sides by 3, [tex]x=45[/tex]. Finally, to check you can plug 45 back into the equation, [tex]\frac{45}{3} +8=23[/tex]. Next, solve this equation and get 23=23, since this is a true statement 45 is correct.

Answer:

160 cm³

Step-by-step explanation:

→ Write down the formula for the volume

Length × Width × Height

→ Find each value

Length = 4, Width = 4 and Height = 10

→ Substitute into formula

4 × 4 × 10 = 160 cm³

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

[tex]tan(\theta) = \frac{CO}{CA}[/tex]

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

[tex]\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}[/tex]

Ahora, el ancho del río es:

[tex]CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m[/tex]

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

The value of the inverse of the function f(x) = x +3 is,

⇒ h (x) = x - 3

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function is,

f (x) = x + 3

Now, We can find the inverse of the function f(x) = x +3 as,

f (x) = x + 3

y = x + 3

x = y - 3

h (x) = x - 3

Thus, The value of the inverse of the function f(x) = x +3 is,

⇒ h (x) = x - 3

Learn more about the function visit:

https://brainly.com/question/11624077

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Answer:

I think yes

Step-by-step explanation:

12/4=3

36/12=3

-6/-2=3

and so on

Answer:

13

Step-by-step explanation:

Median of a trapezoid = sum of 2 bases divided by 2

Bases = 10 and 16

Median = (10 + 16)/2

10 + 16 = 26

26/2 = 13

Median = 13