Please help me with number 4.

Answer: x = 5 or x = -4

Step-by-step explanation:

Given equation

x² - x = 20

Subtract 20 on both sides

x² - x - 20 = 0

Cross factorize the equation

x          -5

x          4

Factorize the equation

(x - 5) (x + 4) = 0

[tex]\boxed{x=5}[/tex] or [tex]\boxed{x=-4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

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Explanation:

The team won 16 games and lost 11 so far. At this point in the season, they played 16+11 = 27 games total. Their win rate is 16/27.

Set this equal to x/162 which is the win rate for winning x games out of 162 played over the entire season.

Solve for x.

x/162 = 16/27

27x = 162*16 ... cross multiplication

27x = 2592

x = 2592/27

x = 96

The team would win 96 games if it kept the same winning rate going.

Notice that 16/27 = 0.5926 = 59.26% and how 96/162 = 0.5926 = 59.26% as well (both are approximate). This helps confirm we have the correct answer.

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Here's another slightly longer way to solve. If you prefer the first method above, then ignore this section.

w = number of games won over the entire 162 game season

162-w = number of games lost over the entire season

w/(162-w) = win to loss ratio

16/11 = win to loss ratio after winning 16 games and losing 11

Setting those last two expressions equal to each other and solving for w gets us...

w/(162-w) = 16/11

11w = 16(162-w)

11w = 2592-16w

11w+16w = 2592

27w = 2592 ... this hopefully looks a bit familiar from before

w = 2592/27

w = 96 games won

the correct answer of this question is 32 I mean the value of X is 32

Answer:

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

you basically just simplify the exponents first, and then simplify from there.

Step-by-step explanation:

Answer: x[tex]\geq[/tex]42

Step-by-step explanation: 13-x-13≤–29-13                                                        -x+13-13≤-29-13                                                                                                     -x≤29+13                                                                                                                      x[tex]\geq[/tex]42

Answer:

y=-5x+1

Step-by-step explanation:

hope it helps you

Answer:

16 and 2

Step-by-step explanation:

I'm not sure honestly if this is correct, but I hope this helps.

Answer:

The numbers are 12 and 8

Step-by-step explanation:

let the numbers be x and y :

[tex]x + y = 20 - - - (a) \\ x - y = 4 - - - (b)[/tex]

add (a) and (b):

[tex]2x + 0y = 24 \\ 2x = 24 \\ x = 12[/tex]

find y:

[tex]x + y = 20 \\ 12 + y = 20 \\ y = 20 - 12 \\ y = 8[/tex]

Answer:

y = 3/4x + 19/2

Step-by-step explanation:

m = 3/4. point (-6,5)

Point slope form:

y-5=3/4(x- -6)

y -5 = 3/4x + 18/4. 18/4 = 9/2

Y = 3/4x + 9/2 + 5. 5 times 2 plus 9 over 2 = 19/2

y = 3/4x + 19/2

Answer:

6 cm^2

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

the first one: The coordinates of A' are (-2, 3)

and the last one: The coordinates of B' are (-2, 0) and the coordinates of C' are (2, -1).

Step-by-step explanation:

when you rotate a triangle counterclockwise by 90° you swap the numbers of the x and y coordinates.

like how the coordinates of B' were (0, 2) and became (-2,0) once the triangle was rotated.

Answer:

21

Step-by-step explanation:

105/(1+4)

= 105/5

= 21.

Answer:

Find the common difference and the next term of the following sequence:

3, 11, 19, 27, 35...

Step 1. To find the common difference, subtract any consecutive pair of terms.

11 - 3 = 8

19 - 11 = 8

27 - 19 = 8

35 - 27 = 8

The difference is always 8, so d = 8.

Step 2. Use the common difference to find the next term.

Since the last term was 35, adding the common difference of 8 will find the next term. The next term is 35 + 8 or 43.

Step-by-step explanation:

mark me brainliest plz

Answer:

[tex]d = a_{2} - a _{1}[/tex]

d is the common difference

a1 is the first term, a1 = 27

a2 is the second term, a2 = 11

substitute:

[tex]d = 11 - 27 \\ { \boxed{ \boxed{d = - 16}}}[/tex]

Answer:

It can't be expressed in that form

Step-by-step explanation:

From difference of two squares:

[tex]{ \boxed{(a + b)(a - b) = ( {a}^{2} - {b}^{2} )}}[/tex]

a » 9

b » 2i

[tex](9 + 2i)(9 - 2i) = \{ {(9)}^{2} - {(2i)}^{2} \} \\ \\ = (81 - 4 {i}^{2} )[/tex]

but i² is -1 [ complex numbers ]

[tex] = \{81 - 4( - 1) \} \\ = 81 + 4 \\ = 85[/tex]

Answer:

[tex](9 + 2i)(9 - 2i) \: \\ this \: can \: be \: wrtten \: as \: \\ {9}^{2} - {2i}^{2} = 81 - 4 \times - 1 \\ = 81 + 4 = 85 \\ then \: 85 + 0i \\ thank \: you[/tex]

Answer:

[tex] {f}^{ - 1} (x)= - \frac{4}{3} x + 8[/tex]

Step-by-step explanation:

[tex]f(x) = - \frac{3}{4} x + 6[/tex]

[tex]y = - \frac{3}{4} x + 6[/tex]

[tex]x = - \frac{3}{4} y + 6[/tex]

[tex] - \frac{3}{4} y + 6 = x[/tex]

[tex] - 3y + 24 = 4x[/tex]

[tex] - 3y = 4x - 24[/tex]

[tex]\boxed{\green{ {f}^{ - 1} (x)= - \frac{4}{3} x + 8}}[/tex]

Step-by-step explanation:

Each unit would be $4.25

Answer:

8/$34.00 divided by 8 = 1/$4.25. 1 board game costs $4.25. hope this helps

Step-by-step explanation:

- Zombie

Answer:

Step-by-step explanation:

how to convert quinary into binary numbers​?

If this means x in base 5 is equal to y in base 2

You just have to divide in base 5 by 2

Let's take an example.

[tex](14)_5= (? )_2\\\\\begin{array}{c|c}14&1\\4&0\\2&0\\1&1\\0\\\end {array}\\\\\\\\[/tex]

[tex]Read\ from\ down\ to\ up ==> 1001\\\\[/tex]

[tex]Explanation:\\(14)_5=1*5+4=9\ in\ base\ 10\\\\[/tex]

[tex]in\ base\ 5\\4*2=13 \\14=4*2+1\\4=2*2+0\\2=1*2+0\\1=0*2+1\\[/tex]

[tex]So\ (14)_5=(1001)_2\\[/tex]

Answer :

y^2 - 4y + 3

Step-by-step explanation:

You have to distribute.

Answer:

the answer = 2,020,500,900

Answer:

9

Step-by-step explanation:

Answer:

The GCF is going to be 9

Step-by-step explanation:

When finding the GCF, you want to do prime factorization of each number.

18's prime factorization is, 2 × 3 × 3, which equals 18

36's prime factorization is 2 × 2 × 3 × 3, which equals 36

45's prime factorization is 5 × 3 × 3, which equals 45

Now all you have to do is find the factors common in each one, which is 2 three's. You then multiply 3 × 3 = 9. That is your answer

Laugh now cry later.

Answer:

17.5

plsss mark brainliestt

Step-by-step explanation:

10÷4=2.5

7×2.5=17.5

Answer:

4/7=10/x

or, 4×x=10×7

or, 4x=70

or, x = 70/4

or, x = 17.5

Thus, x is 17.5

Answer:

Step-by-step explanation:

if you put it in on your phone there is a tab for that

Answer: −10x+23 13/27

Step-by-step explanation: -(5)(2x)                                                                             -10x                                                                                                                                    3+79/ 3 12/14                                                                                                               3+ 79 / 3  6 /7                                                                                                                        3+ 79 / 27 /7                                                                                                           3+ 553 /27                                                                                                               634 /27                                                                                                                           23  13 /27                                                                                                                   −10x+23 13/27