Find the value of x

Answer:

The other factor is 5x-2

Step-by-step explanation:

Using the factorisation method:

Two numbers that multiply to give -10 and add to give +3:

+5 and -2

[tex]5x^{2} +5x-2x-2[/tex]

[tex]5x(x+1) -2(x+1)[/tex]

[tex](x+1)(5x-2)[/tex]

So the other factor is 5x-2

I'm not sure about the second part of the question but I hope you understood how to deal with the first part.

Answer: 7.86%

Step-by-step explanation:

The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{r!(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

As it is given that the password can only be made with letters or numbers, and we know that there are only 26 letters and there are 10 numbers, therefore, the total option available is 36.

Also, it is given that the first letter of the password can only be made with letters, therefore, there are only 26 options available for the first place in the password.

The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter,

[tex]= ^{26}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \\\\= 26 \times 31\times 31\times 31\times 31\times 31\times 31\times 31\\\\= 26 \times 31^7[/tex]

Hence, the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.

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Answer:

B. 26 times 36 superscript 7

Step-by-step explanation:

its the right answer

The first step is to find the area of the figure amd then multiply it by the weight of per metre...

[tex] \sf \: area = length \times width[/tex]

[tex] \bf \: area = 0.6 \times 2[/tex]

[tex] \bf \: area = 1.2 \: {m}^{2} [/tex]

[tex] \tt \: 1.2 \:{m}^{2} = 1.2 \: kg[/tex]

The framework is made up of 5 rods, So the weight will be

➪ Thus, The weight of theframework is 6 kilograms...~

Answer:

Let

Point 1 ----------> (5, 2)

Point 2 ----------> (–6, 2)

we know that

the distance between two points it is calculated with the formula

d=√[(y2-y1)²+(x2-x1)²]

then

d=√[(2-2)²+(-6-5)²]

d=√[(0)²+(-11)²]

d=√[121]

d=√121-----------> d=11 units

the answer is 11 units,

Also, The segment is horizontal because the y-coordinates are the same. To find the distance, you can count the spaces between the points. The segment is 11 units long.

Answer:

15. 10i√3

16. -1

17. 6

18. √35 - 2√5

     --------------

            3

19. x√35 - 3√7x + 4√5x - 12

20.    9√7

   -   ---------

          14

Step-by-step explanation:

15)

√-300 = √-100 × 3 = 10i√3

16)            5

i^22 = 4√22   =    i²   =   -1

             -20

             ------

                2

17)

(√7 + 1) (√7 - 1)

√7 (√7 + 1) - 1 (√7 + 1)

√49 + √7 - √7 - 1

7 - 1 = 6

18)

√5           √7 - 2          √35 + 2√5                      √35 - 2√5        √35 - 2√5

---------  x  ---------    =    ------------------             =    --------------    =   -----------------

√7 + 2     √7 - 2          √49 - 2√7 + 2√7 - 4           7 - 4                     3

19)

(√7x + 4)(√5x - 3)

√7x (√5x - 3) + 4 (√5x - 3)

√35x² - 3√7x + 4√5x - 12

x√35 - 3√7x + 4√5x - 12

20)

-√81       -9              √7         -9√7       -9√7

-------- = -------   x   -------   =  -------   =    -------

√28       2√7        √7         2√49         14

I hope this helps!

Answer:

3,600

Step-by-step explanation:

i took the quiz

Answer:

[tex]\huge\boxed{\sf{Linear}}[/tex]

Step-by-step explanation:

Hello.

This function is linear.

Remember, linear functions look like so:

y=mx+b (where m = slope & b = y-intercept)

Is y=3x+2 linear? Sure!

Compare:

y=mx+b

y=3x+2

They look the same, huh? The only difference is that the first one has variables, and the second one has numbers. ;)

Now, what about the graph?

All linear functions have a graph that looks like a straight line.

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Milk, tea and pearls in the ratio of 4:3:1 -> The milk = 4x, tea = 3x and pearls = x

So, 1560g is equal to 4x + 3x + x = 8x

x = 1560 / 8 = 195
3x = 195 x 3 = 585
4x = 195 x 4 = 780

So, she used 780g of milk, 585g of tea and 195g of pearls.

Answer:

Milk= 780g

Tea= 585g

Pearls= 195g

Step-by-step explanation:

So we know that all together there is 1560g. So what we do is add the ratio numbers together which is 4+3+1. This gives us 8. Next, what we can do is how much is 1 (ratio). So we do 1560g/8. This gives us 195g. Now the last step is to multiply 195g with each ratio number given. So milk is represented as 4. So therefore milk would be 4 multiplied by 195g. This means milk= 780g. Tea = 3 multiplied by 195g. Thus, this gives us 585g. The last one which is pearls is 195g as it is multiplied by 1. To check the answer, you can add the three numbers which are 780g+ 585g+195g= 1560g.

Answer:

35%

Step-by-step explanation:

7/20 = 0.35

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Answer:

[tex]18=y[/tex]

Step-by-step explanation:

Assuming that your equation is [tex]1x+1+15=y[/tex], you would first substitute in the 2: [tex](1*2)+1+15=y[/tex]

Next, simplify and combine like terms: [tex]2+16=y[/tex]

Finally, simplify again to get the answer: [tex]18=y[/tex]

Answer: First Solution

Step-by-step explanation:

We can solve this by using the Quadratic Formula, which is

(-b±√b²-4ac)/2a

First off we can find the discriminant. Replacing b with 7, a with 2, and c with -5 gives us a discriminant of 89. But there are two solutions with the discriminant 89.

The second deciding factor would be finding the denominator, which is 2a. Replacing a with 2 gives us 4.

We already know the solution is the first one, but it's important to find the value of the first part of the numerator, -b. Using that we can tell that it's -7, and not 7.

Answer:

Step-by-step explanation:

Answer:

12:1

………………………………………………

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Answer:58.272

Step-by-step explanation: This is the answer for maths watch

The perimeter of the shaded shape is 58.29  cm.

                             [tex]P = \pi r_1 + \pi r_2 + (d_1 - d_2)\\P = (\pi \ \frac{20}{2} ) + (\pi \ \frac{12}{2} ) +(20 -12)\\P = \pi ( 10 + 6) +8\\P = 16\pi +8\\P = 58.29 \ cm[/tex]

Thus, the perimeter of the shaded shape is 58.29 cm.

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Answer: #1 = 15            #2= 5

Step-by-step explanation:

3 x  5/12=  15/12

15 x  1/12=15/12

5 x 3/12=15/12

TRUST ME I'm smart

Answer:

15

Step-by-step explanation:

Sum of points divided by number of games

The count of 4-digit personal identification numbers possible if the number cannot contain a zero is given by: Option B: 6561

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex]  ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

For the given case, there are 4 digit locks, each of them can be from {1,2,3,4,5,6,7,8,9}

So each one has 9 options to choose from.

Thus, using the rule of product, we get the total possible personal identification numbers  as: [tex]9 \times 9 \times 9 \times 9= 6561[/tex]

Thus, the count of 4-digit personal identification numbers possible if the number cannot contain a zero is given by: Option B: 6561

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Answer:

14

Step-by-step explanation:

f(-2) = 3(-2)² + 1 = 3(4) + 1 = 12 + 1 = 13

[tex]4\\6+[/tex]

▬

[tex]10[/tex]

10

Step-by-step explanation:

6+4=10 its just adding what Sally and timmy have

Answer:

8 celcius

Step-by-step explanation:

The slope is -8 so it is decreasing by 8

Answer:

8

Step-by-step explanation:

Use two points: (0,40) and (1,32). 40-32=8.

Answer:

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

Step-by-step explanation:

Probability is calculated as

P = [tex]\frac{favourable outcome}{number of outcomes}[/tex]

A favourable outcome is an even number , that is 2, 4, 6 , a total of 3

number of outcomes = 6 , that is 1, 2, 3, 4, 5, 6

Then

P( even number) = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

b) 130

Step-by-step explanation:

The total of the internal angles of any simple hexagon (six sides)  is 720°.

720 = 150+95+105+145+95+x

720= 590 + x

720 - 590 = x

130 = x

Answer:

(x - y) = 9

Step-by-step explanation:

**Note: we cannot use similar triangle proportionality, as ΔABC is NOT a right triangle**

Using Pythagoras' Theorem a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right triangle)

Create equations for both smaller interior right triangles using Pythagoras' Theorem:

Larger right triangle

   CD² + x² = 17²

⇒ CD² = 17² - x²

Smaller right triangle

   CD² + y² = 10²

⇒ CD² = 10² - y²

Equate equations:

        CD² = CD²

⇒ 17² - x² = 10² - y²

Given:

AB = 21  and AB = x + y

⇒ x + y = 21

⇒ y = 21 - x

Substitute  y = 21 - x  into  17² - x² = 10² - y²  and solve for x:

⇒ 17² - x² = 10² - (21 - x)²

⇒ 17² - x² = 10² - (441 - 42x + x²)

⇒ 17² - x² = 10² - 441 + 42x - x²

⇒ 289 = 100 - 441 + 42x

⇒ 630 = 42x

⇒ x = 630 ÷ 42

⇒ x = 15

Substitute found value for x into  y = 21 - x and solve for y:

⇒ y = 21 - 15 = 6

Finally, substitute found values for x and y into (x - y):

⇒ x - y = 15 - 6 = 9