is 1 11/17 a rational number

Answer:

x=-5

Step-by-step explanation:

don't think thats a quadratic equation, in that case the answer is above, just subtract from both sides

The solution of given quadratic equation is ± √10

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Suppose that we have been given a function y = f(x) such that f(x) is quadratic. When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

Given the quadratic equation;

x² + 10 = 0

The solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given that, x² +0x + 10 = 0.

Here a = 1, b= 0 and c = 10

x = [-b ± √(b² - 4ac)]/2a

= [-0 ± √(0² - 40)]/2(1)

= [ ± √(0- 40)]/2

=  [± √(-40)]/2

= [ ± 2 √10]/2

= ± √10

Therefore the solution of given quadratic equation is ± √10

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Hi there!

~

Find the exact value using trigonometric identities.

[tex]643.22 + 132.20 + 147.013​ = 922.433[/tex]

❀Hope this helped you!❀

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Answer:

922.433

Step-by-step explanation:

[tex]\frac{\begin{matrix}\space\space&\textbf{1}&1&\space\space&\space\space&\space\space&\space\space&\space\space\\ \space\space&\textbf{6}&4&3&.&2&2&0\\ \space\space&\textbf{1}&3&2&.&2&0&0\\ +&\textbf{1}&4&7&.&0&1&3\end{matrix}}{\begin{matrix}\space\space&\textbf{9}&2&2&.&4&3&3\end{matrix}}[/tex]

Answer:

x=2y+3

Step-by-step explanation:

x − 2y = 3

x=2y+3

Answer:

[tex] h = 4 cm [/tex]

Step-by-step explanation:

Volume of cylinder is given as [tex] V = \pi r^2h [/tex],

r = radius of base of cylinder, h = height of the cylinder.

Let's make h (height) the subject of the formula (i.e. select the formula for h).

[tex] V = \pi r^2h [/tex]

Divide both sides by πr²

[tex] \frac{V}{\pi r^2} = \frac{\pi r^2h}{\pi r^2} [/tex]

[tex] \frac{V}{\pi r^2} = h [/tex] (πr² crosses out πr²)

Rewrite the formula:

[tex] h = \frac{V}{\pi r^2} [/tex]

Given a cylinder of Volume (V) = 36π cm³, and radius (r) = 3 cm,

height of the cylinder can be selected by plugging these values into the formula for h (height) we selected above. Thus:

[tex] h = \frac{36 \pi}{\pi 3^2} [/tex]

Simplify:

[tex] h = \frac{36 \pi}{\pi * 9} [/tex]

[tex] h = \frac{36}{9} [/tex] (π crosses out π)

[tex] h = 4 cm [/tex]

Answer:

92

Step-by-step explanation:

Step 1- Substitute the variables.

9(8)+5(4)

72+20

Step 2- Add

72+20= 92

Answer:

25

Step-by-step explanation:

Answer:

0.6-2.1=1.5

Step-by-step explanation:

0.6-2.1=-1.5

0.6-2.1= - I2.1-0.6I

2.1

-0.6

--------

1.5

Answer:

the answer is $27.18 US dollars

Step-by-step explanation: hope you found this helpful

Answer:

1

Step-by-step explanation:

1

Answer:

You are correct

Step-by-step explanation:

Hi,

[tex](f+g)(x)=6x-12+3x+8=9x-4\\\\(f-g)(x)=6x-12-3x-8=3x-20[/tex]

Thanks

Answer:

-3. 9/18, 12/20

Step-by-step explanation:

-3 is -3

9/18 is 0.5

12/20 is 0.6

Answer:

10

Step-by-step explanation:

Round up if this number is greater than or equal to  

5  and round down if it is less than  5

Answer:

[tex]P=400000(2^t)-40000t[/tex]

Step-by-step explanation:

The initial number of mosquitoes is 400000, and they double each day. This represents an exponential growth equation. If t represent days and P represent the population of the mosquitoes, hence this can be represented by the equation:

[tex]P=400000(2^t)[/tex]

Also, the predators eat the mosquitoes at a rate of 40,000 mosquitoes/day. This means that each day, the mosquitoes reduce by 40000t, therefore this can be represented by:

[tex]P=400000(2^t)-40000t[/tex]

Answer:

[tex]f(x)= \dfrac{1}{\sqrt x - \sqrt 3}[/tex]

Step-by-step explanation:

The square root forces values for x to be positive.

The -√3 causes a divide by zero for x=3, which is not allowed.

Answer:  y = 1/2x -8  

Step-by-step explanation:

The equation will be in slope intercept form which uses the formula  y= mx +b   where m is the slope and b is the y-intercept and those are the only numbers need to write the equation.

The points are (2,-7) (8,-4) to find the slope using these points,find the change in their y values and divide it by the change in the x values.

-7- (-4) = -3

2 - 8 = - 6

-3/-6 =   1/2  

So in this case the  slope is 1/2, now input it into the equation and use one of the points coordinates to solve for b the y intercept.

-7 = 1/2(2) + b  

-7 =  1 + b

-1     -1

b = -8  

The y intercept is -8 so we will have the equation y = 1/2x -8

Answer: 112.36cm^2

Step-by-step explanation:

Un cuadrado tiene 4 lados de igual longitud.

Si dibujamos la diagonal del cuadrado, podemos ver la imagen como dos triángulos rectángulos.

Donde los lados del cuadrado son los catetos, y la diagonal es la hipotenusa.

Ahora, recordando el teorema de Pitágoras, tenemos que, si A y B son catetos, y H es la hipotenusa:

A^2  + B^2 = H^2

En este caso sabemos que los catetos son iguales (por que es un cuadrado)

A = B.

Y también sabemos que H = 15cm.

A^2 + A^2 = (15cm)^2

2*A^2 = (15cm)^2

A = √((15cm)^2/2) = 15cm/√2 = 10.6 cm.

Ahora conocemos L, el largo de los lados de nuestro cuadrado.

L = 10.6cm

Y sabemos que el área de un cuadrado es igual a el cuadrado de uno de los lados:

Área = L^2 = (10.6cm)^2 = 112.36cm^2

Answer:

answer in  picture

Step-by-step explanation:

The correct answer is B. Hardness and brittleness

Explanation:

The ions in materials such as chalk and other ionic compounds are bonded by electrostatic forces. These features give ionic compound unique characteristics. This includes the fact these materials are usually hard, which means they do not deform easily and the fact these are brittle, which means they break easily.

These properties can be observed in chalk because the chalk itself keeps its shape or does not deform (hardness) but it breaks easily under pressure (brittleness), indeed due to this last property it is possible to write using chalk and due to the first property it is possible the chalk is a durable material.

Answer:

B.

Step-by-step explanation:

Answer:

650

Step-by-step explanation:

650 will be the smallest number that rounds to 700 when rounding to the nearest 100th because any number less that 650 would not round too 700 and 650 will. hope this helps. i tried explaining the best i could. :)

Answer:

x=-8/7,Alternative form x=-1 1/7 ,x=1.142857

Step-by-step explanation:

f(x)=x+6x+8

substitute f(x)=0

collect like terms.

0=7x+8

Move the variable to the left.

-7x=8

Divide both sides

x=-8/7

Answer:

y=3x-16

Step-by-step explanation:

m - 2 = -2 + m

Let's rearrange the right side of this equation.

m - 2 = m - 2

Any value of m makes this equation true.

m = all real number or (-∞, ∞)

Answer:

If x=1 then f(x)=-3

Step-by-step explanation:

Answer:

7 and 5

Step-by-step explanation:

The present age of Khalil is 7 years and the present age of Angela is 2 years.

Given that, in five years, Angela will be the age that Khalil is now. In three years, Khalil will be twice as old as Angela.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the present age of Khalil be x-5.

In five years:

Khalil's age = x-5+5=x

Angela's age = Khalil's present age

Angela's age = x-5

So, present angle of Angela's age = x-5-5=x-10

In three years:

Khalil's age = x-5+3=x-2

Angela's age =x-10+3=x-7

So, x-2=2(x-7)

⇒ x-2 = 2x-14

⇒ x=12

Khalil's present age = x-5=7 years and Angela's present age = x-10=2 years.

Therefore, the present age of Khalil is 7 years and the present age of Angela is 2 years.

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Answer:

i think its c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

In 8 hours, it will leak 2.5 * 8 = 20 cups of water.

Answer:

6.23

Step-by-step explanation:

good