❊ Simplify :
[tex] \large{ \bf{ \frac{x - 1}{ {x}^{2} - 3x + 2} + \frac{x - 2}{ {x}^{2} - 5x + 6 } + \frac{x - 5}{ {x}^{2} - 8x + 15 } }}[/tex]
[tex] \large{ \tt{ans : \bf{ \frac{3x - 7}{(x - 2)(x - 3)} }}}[/tex]
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Answer:

[tex]Probability = \frac{5}{36}[/tex]

Step-by-step explanation:

The samples are

{ ( 1 , 1) , ( 1 , 2 ) , ( 1 , 3 ) , ( 1 , 4 ) , ( 1 , 5) , ( 1 , 6 )

  ( 2 , 1 ) , ( 2  2 ) , ( 2 , 3 ) , ( 2 , 4 ) , ( 2 , 5 ) , ( 2 , 6 )

  ( 3 , 1 ) , ( 3 , 2 ) , ( 3 , 3 ) , ( 3 , 4 ) , ( 3 , 5 ) , ( 3 , 6 )

 ( 4 , 1 ) , ( 4 , 2 ) , ( 4 , 3 ) , ( 4 , 4 ) , ( 4 , 5 ) , ( 4 , 6 )

( 5 , 1 ) , ( 5 , 2 ) , ( 5 , 3 ) , ( 5 , 4 ) , ( 5 , 5 ) , ( 5 , 6 )

 ( 6 , 1 ) , ( 6 , 2 ) , ( 6 , 3 ) , ( 6 , 4 ) , ( 6 , 5 ) , ( 6 , 6 ) }

Total number of samples = 36

Samples with a sum of 8 = { ( 2 , 6 ) , ( 3 , 5 ) , ( 4 , 4 ) , ( 5 , 3 ) , ( 6 , 2 ) }

Total number of sample with sum 8 = 5

Therefore,

          [tex]Probability \ of \ sum \ of \ 8 = \frac{5}{36}[/tex]          

Answer:

s + l > 300

40 * s + 90 * l > 1500

Step-by-step explanation:

Let's say the amount of small bags is equal to s and the amount of large bags is equal to l.

The total amount of bags is equal to the sum of the small bags and large bags, as there can only be small or large bags. Therefore, the total amount of bags is equal to s + l. As the total amount of bags is greater than 300, we can write

s + l > 300

Next, the total number of packets of crackers exceeds 1500. We can find the total number of packets based on the amount of small and large bags. Because each small bag holds 40 packets, we can say that the amount of packets in small bags is equal to 40 * s. Similarly, the total amount of packets in large bags is equal to 90 * l. Therefore, the total amount of packets is equal to

40 * s + 90 * l

and since the total number of packets is greater than 1500, we can say

40 * s + 90 * l > 1500

Answer:

[tex]{ \bf{let \: \: { \tt{ - {x}^{2} + 5x + 24} \: \: be \: \: { \bf{{y}}}}}} \\ { \tt{y = - {x}^{2} + 5x + 24 }} \\ { \tt{y = (x + 3)(x - 8)}} \\ for \: x - intercept : y = 0 \\ { \tt{(x + 3)(x - 8) = 0}} \\ { \bf{x = - 3 \: and \: 8}}[/tex]

The factors to the given expression are -1(x+3)(x-8)

The x-intercepts are -3, 8

Factorization is the process in which we write an expression in its factors which when multiplied results in the original expression.

We equate the given expression to f(x)

     (-x² + 5x + 24) = f(x)

⇒ -1(x² - 5x - 24) = f(x)

⇒ -1(x² - (8-3)x - 24) = f(x)

⇒ -1(x² + 3x - 8x -24) = f(x)

⇒ -1(x(x+3) -8(x+3)) = f(x)

⇒ -1(x+3)(x-8) = f(x)

∴The factor to the given expression is -1(x+3)(x-8)

To find the x-intercepts we equate f(x) = 0

⇒ -1(x+3)(x-8) = 0

⇒ (x+3)(x-8) = 0

x-intercepts are the roots of the above equation.

∴ The x-intercepts occur where x = -3 and x = 8

Learn more about the Factorization and x-intercepts at

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Answer:

IJKUKOKLIOLIOOOIOLI

Step-by-step explanation:

IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO

Answer:

Volume: 37.692 cm3

Step-by-step explanation:

1) 1/3 x 3.14 x 3 power of 2 x 4

2) 1.047 x 9 x 4

3) 37.692 cm3

Answer:

[tex]Volume ~of~cone=\pi /3r^{2} h[/tex]

[tex]r=3cm[/tex]

[tex]h=4 cm[/tex]

[tex]volume=\pi /3\times3^{2} \times4[/tex]

[tex]=12\pi =12\times3.14[/tex]

[tex]=37.68~ cm^{2}[/tex]

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hope it helps...

have a great day!!

Answer:

The third one i think

Step-by-step explanation:

Since a survey shouldn't be biased or anything.

Answer:

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Given;

Number of fish in 2000 = 1,150 fishes

Decreasing rate = 5% per year

Find:

Number of fish in 2006

Computation:

Exponential decay function:

F = P[1-r]ⁿ

Number of year = 2006 - 2000

Number of year =  6 year

Number of fish in 2006 = 1,150[1-5%]⁶

Number of fish in 2006 = 1,150[1-0.05]⁶

Number of fish in 2006 = 1,150[0.95]⁶

Number of fish in 2006 = 1,150[0.735]

Number of fish in 2006 = 845.25

Number of fish in 2006 = 845 fishes (Approx.)

Answer:

Graph B

Step-by-step explanation:

The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.

Answer:

13.7 units

Step-by-step explanation:

Hi there!

The dotted lines and the hypotenuse of the green triangle create a new right triangle, with one of its acute angles measuring 17 degrees and its hypotenuse measuring 47 units.

Given this information and that we must solve for the side opposite the given angle, we can use the sine ratio:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

Plug in known information

[tex]sin17=\frac{x}{47}\\47*sin17=x\\13.7=x[/tex]

Therefore, the value of x when rounded to the nearest tenth is 13.7 units.

I hope this helps!

Answer:

2One-fifteenth

Step-by-step explanation:

[tex]3\frac{13}{15} - 1\frac{4}{5}[/tex]

[tex]2\frac{13 - 12}{15}[/tex]

2 [tex]\frac{1}{15}[/tex]

[tex]\displaystyle\ 2x^2+7x+5\sqrt{2} =0 \\\\\boxed{D=7^2-4\cdot2\cdot 5\sqrt{2} =49-40\sqrt{2} }[/tex]

i believe it's y-intercept!

to be honest i was never taught why it was the y-intercept, i was just told that it was. hope this helps!

Answer:

A

Step-by-step explanation:

slope=(1-0)/(5-4)=1

eq. of line through (4,0) with slope 1 is

y-0=1(x-4)

put y=f(x)

f(x)=x-4

Answer:

C. Shading should go below a dashed line

Step-by-step explanation:

y <

Y is less than. So, shade below where all the numbers are less than

And because it's NOT [tex]\leq[/tex] or [tex]\geq[/tex] , its dotted. Meaning the solutions are not on the line.

Answer:

[tex]=27a^3b^3+54a^2b^2c+36abc^2+8c^3[/tex]

Step-by-step explanation:

[tex](3ab+2c)^3[/tex]

[tex]=(3ab+2c)[/tex] × [tex](3ab+2c)[/tex] ×

[tex]=(3ab+2c)(9a^2b^2+12abc+4c^2)[/tex]

[tex]=(3ab)(9a^2b^2)+(3ab)(12abc)+(3ab)(4c^2)+(2c)(9a^2b^2)+(2c)(12abc)+(2c)(4c^2)[/tex]

[tex]=27a^3b^3+36a^2b^2c+12abc^2+18a^2b^2c+24abc^2+8c^3[/tex]

[tex]=27a^3b^3+54a^2b^2c+36abc^2+8c^3[/tex]

hope this helps....

Answer:

well I'm not gonna explain it but

#1 is C or the 3rd one (DOMIAN)

#2 is B or the second one (RANGE)

Answer:

DOMAIN OF THE FUNCTION :-

all real numbers

RANGE :-

all real numbers greater than or equal to - 2

as we the graph's vertex is at -2 so basically -2 is the lowest value of the function.

Answer:Monday, Wednesday and Friday.

Step-by-step explanation:

It’s the other weekdays.

Answer: Maybe 5.7

Step-by-step explanation: To solve this we are going to need to understand the pythagorean theorem. we can use it as a way to find this certain side. if we put these numbers in the theorem, we get a^2+49=81 (7^2=49 and 9^2=81), we can subtract 49 on both sides and get 32. We would also need to take out the power of 2 on the side of the a^2, so you would do the square root of a^2, which would just become a and the square root of 32, which if you crunch the numbers on a calculator. You would get 5.656..... then you round it to the nearest tenth and get 5.7.

Step-by-step explanation:

The missing length of the triangle will be more than (9-7)=2 and less than (9+7)=16

so, 2<a<16

Answered by Gauthmath

Answer:

It is 6 foxes

Step-by-step explanation:

Because if 6 foxes can catch 6 hens in 6 minuets then 6 foxs can can 60 hens in 60 minutes because you just multiply 6 minutes by 10 and get 60 minutes which is also the same for hens.

Answer:

6 foxes

Step-by-step explanation:

For 6 foxes to catch 60 hens (10 x 6 or 10 times more than 6 hens) they will need 10 times more time than they had to catch 6 hens, or 10 x 6 = 60 minutes.

Answer:

3.5

Step-by-step explanation:

Tn=a(n-1)d

Tn=3.5+(101-1)0

Tn=3.5+0

Tn=3.5

Answer:

$35000

Step-by-step explanation:

A = P(1+rt)

A = 25000*(1+4%*10)

A = 35000

BRAINLIEST PLEASEEEEEEEEEEE

Answer:

(50,-30)

Step-by-step explanation:

Reflecting a point across the y axis is just like flipping a page on a book. The x  coordinate is flipped and the y coordinate stays the same.

Answer:

brainliest and 20 points! Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 90 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.

Step-by-step explanation:

it's is the answr

Answer:

answer is b

Step-by-step explanation:

got it right on khan

The domain of the function g(x) = √(8x) is all real numbers greater than or equal to 0, which can be expressed as [0, +∞).

option B is correct.

Here, we have,

The domain of a function refers to the set of all possible input values (x-values) for which the function is defined.

For the given function g(x) = √(8x), the function is defined as long as the expression inside the square root (√) is non-negative.

In this case, the expression inside the square root is 8x.

To ensure that it is non-negative, we need 8x ≥ 0.

Solving the inequality, we find:

8x ≥ 0

x ≥ 0/8

x ≥ 0.

Therefore, the domain of the function g(x) = √(8x) is all real numbers greater than or equal to 0, which can be expressed as [0, +∞).

To learn more on function click:

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Respuesta:

36

Explicación paso a paso:

Para completar el cuadrado tendremos que sumar la mitad del cuadrado del coeficiente de x a la expresión;

Coeficiente de x = -12

Mitad del coeficiente = (-12/2) = -6

Tomando el cuadrado del resultado = (-6) ^ 2 = 36

Por lo tanto, el número que se debe sumar para obtener un cuadrado perfecto es 36.

Answer:

a) negative reciprocals

Step-by-step explanation:

Replace x with 18, solve the equation. If it equals -4 it’s a solution.

Y = -6(18) - -87

Y = -108 + 87

Y = -21

-21 does not equal -4 so (18,-4) is not a solution.

Answer:

{-4,2,6,9}

Step-by-step explanation:

Mathematically, the domain refers to the possible x-values

what this mean in the relation view are the values listed in the left ellipse

So we have the domain as;

{-4,2,6,9}