Determine the type and number of solutions of 4x - 4x + 1 = 0.

two real solutions
one real solution
two imaginary solutions​

Answer:

7 and 15

Step-by-step explanation:

Let the numbers be x and y

[tex]x + y = 22[/tex]

[tex]x - y = 8[/tex]

On adding both

[tex]x + y + x - y = 22 + 8[/tex]

[tex]2x = 30[/tex]

[tex]x = \dfrac{30}{2} [/tex]

[tex]x = 15[/tex]

From 1

[tex]15 + y = 22[/tex]

[tex]y = 22 - 15[/tex]

[tex]y = 7[/tex]

Answer:

[tex]take \: numbers \: xand \: y \\ given \: that \: x + y = 22 .....(1)\\ x - y = 8.....(2) \\ x = 8 + y \\ put \: this \: in \: (1) \\ 8 + y + y = 22 \\ 8 + 2y = 22 \\ 2y = 22 - 8 \\ 2y = 14 \\ y = \frac{14}{2} \\ y = 7 \\ pt \: y = 7in \: eqution \: (2) \\ then \: \\ x - 7 = 8 \\ x = 7 + 8 \\ x = 15 \\ therefore \: x = 15 \\ y = 7 \\ thank \: you[/tex]

Answer:

k = 5/6

Step-by-step explanation:

The √ can be rewrite as a power, and this power is 1/2

So √a = a^1/2, and it is multiplying a, so we add the powers: a¹•a^1/2 = a^(1+1/2) = a^3/2

And the ³√ can be rewrite as the power 1/3, but the a inside the ³√ is to the power of 2, so we can rewrite it like this: (a²)^1/3

And to evaluate this we have to multiply the powers, so we will have: a^2/3

Now we have this fraction:

[tex] \frac{ {a}^{ \frac{3}{2} } }{ {a}^{ \frac{2}{3} } } [/tex]

A fraction with powers in the same base can be rewrite like a subtraction of the powers, so let's do that:

[tex] \frac{ {a}^{ \frac{3}{2} } }{ {a}^{ \frac{2}{3} } } = {a}^{ \frac{3}{2} - \frac{2}{3} } = {a}^{ \frac{5}{6} } [/tex]

Answer:

(a).

[tex] \frac{2}{5a} = \frac{4}{a - 1} \\ \\ 20a = 2a - 2 \\ 18a =- 2 \\ a = - \frac{1}{9} [/tex]

(b).

[tex] \frac{7}{2d - 5} = \frac{9}{3d + 4} \\ \\ 7(3d + 4) = 9(2d - 5) \\ 21d + 28 = 18d - 45 \\ 3d = - 73 \\ d = - \frac{73}{3} [/tex]

(c).

[tex] \frac{3}{e + 1} + \frac{1}{2e + 1} = 0 \\ 3(2e + 1) = - (e + 1) \\ 6e + 3 = -(e + 1) \\ 7e = - 4 \\ e = - \frac{4}{7} [/tex]

(d).

[tex] \frac{5}{2f - 5} - \frac{4}{7f + 1} = 0 \\ \\ \frac{5}{2f - 5} = \frac{4}{7f + 1} \\ \\ 5(7f + 1) = 4(2f - 5) \\ 35f + 5 = 8f - 20 \\ 27f = - 25 \\ f = - \frac{25}{27} [/tex]

(d).

Step-by-step explanation:

a)2/5a=4/a-1

By cross multiplication:

5a×4=2(a-1)

20a=2a-2

20a-2a=-2

18a=-2

a=-2/18

a=-1/9

b)7/2d-5=9/3d+4

By cross multiplication:

7(3d+4)=9(2d-5)

21d+28=18d-45

21d-18d=-45-28

3d=-73

d=-73/3

c)3/e+1 + 1/2e+1=0

3/e+1=-1/2e+1

By cross multiplication

3(2e+1)=-1(e+1)

6e+3=-e-1

6e+e=-1-3

7e=-4

e=-4/7

d)5/2f-5-4/7f+1=0

By cross multiplication

5/2f-5=4/7f+1

5(7f+1)=4(2f-5)

35f+5=8f-20

35f-8f=-20-5

27f=-25

f=-25/27

Answer:

15 feet above ground.

Step-by-step explanation:

15 feet - 4 feet = 11 feet

11 feet + 5 feet = 16 feet

16 feet - 1 foot = 15 feet

Bytes are used to represent the number of bits in a computer system. There are 1024n bytes in n kilobytes.

Using the following representation:

[tex]KB \to[/tex] Kilobyte

[tex]B \to[/tex] Bytes

1024 bytes in 1 kilobyte is represented as:

[tex]1024B = 1KB[/tex]

Let the number of bytes in n kilobytes be x.

So, we have:

[tex]x = n\ KB[/tex] and

[tex]1024B = 1KB[/tex]

Cross multiply

[tex]x \times 1KB = 1024B \times nKB[/tex]

Divide both sides by KB

[tex]x \times 1 = 1024B \times n[/tex]

[tex]x = 1024n\ B[/tex]

Remove the units for proper representation

[tex]x = 1024n[/tex]

Hence, there are 1024n bytes in n kilobytes

Read more about bytes at:

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Answer: 1024n

Step-by-step explanation:

a.

5 minutes

b.

30 litres per minute

Answer:

Step-by-step explanation:

We know that the perimeter is the sum of side lengths.

Substitute the values and solve for x:

Answer:

[tex]perimeter = h + l + b \\ = x + 2x - 2 + 3x + 1.5 = 11.5 \\ x \: terms \: togather \\ x + 2x + 3 x- 2 + 1.5 = 11.5 \\ 6x - .5 = 11.5 \\ 6x = 11.5 + .5 \\ 6x = 12 \\ x = \frac{12}{6} \\ x = 2 \\ thank \: you[/tex]

The answer you are looking for is x=-2.

Solution/Explanation:

60x+153=9x+51

Subtract 9x from both sides,

60x-9x+153=51

Simplifying this part of the equation,

51x+153=51

Now, subtracting 153 from both sides,

51x+153-153=51-153

Simplifying this part of the equation,

51x=-102

Finally, dividing 51 from both sides,

So, therefore, the final answer is x=-2. I hope this helped answer your question for you. Enjoy your day, and take care!

x = -2 is the solution to the equation 60x + 153 = 9x + 51.

Here, we have,

To solve the equation 60x + 153 = 9x + 51,

follow these steps:

Step 1:

Start with the given equation: 60x + 153 = 9x + 51.

Step 2:

Simplify the equation by combining like terms.

To do this, subtract 9x from both sides of the equation:

60x + 153 - 9x = 9x + 51 - 9x.

Simplifying further:

51x + 153 = 51.

Step 3:

Subtract 153 from both sides of the equation to isolate the variable term:

51x + 153 - 153 = 51 - 153.

Simplifying further:

51x = -102.

Step 4:

Divide both sides of the equation by the coefficient of x, which is 51, to solve for x:

51x / 51 = -102 / 51.

Simplifying further:

x = -2.

Step 5:

Check the solution by substituting x = -2 back into the original equation:

60(-2) + 153 = 9(-2) + 51.

Simplifying:

-120 + 153 = -18 + 51.

33 = 33.

Since the left side of the equation equals the right side after substituting x = -2,

we can conclude that x = -2 is the solution to the equation 60x + 153 = 9x + 51.

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Answer:

1/32 people responded for Tampa.

Step-by-step explanation:

Answer:

left

Step-by-step explanation:

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

Explanation:

And so on.

We'll have this countdown: 16, 15, 14, ..., 3, 2, 1, 0. By the time we get to the 17th player, they won't have anyone to kick the ball to. This is because they've already been counted in the previous scenarios. This is to avoid double-counting.

So the problem simply boils down to us adding up the numbers 0,1,2,...14,15,16.

This is an arithmetic sequence with first term a = 0 and common difference d = 1. The sum of the first n = 17 terms is...

Sn = (n/2)*(a + d(n-1))

S17 = (17/2)*(0 + 1(17-1))

S17 = (17/2)*(16)

S17 = 17*8

S17 = 136 is the final answer

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

An alternative method:

Consider we have two slots A and B

For slot A, we have 17 choices because we have 17 players.

Then for slot B, we have 17-1 = 16 choices since we don't want to reselect whoever goes in slot A.

If order mattered, then we'd have 17*16 = 272 different permutations.

However, order doesn't matter. A sequence like {player1,player4} is identical to {player4,player1}. All that matters is the overall group rather than the order of it. Both of those examples say the same thing: they connect player 1 to player 4.

In short, the value 272 is too large and it double-counts the true answer. We need to divide by 2 to correct for this.

272/2 = 136

We arrive at the same answer as before. There are 136 kicks required so that each player kicks the ball to every other player.

The minimum Number of kicks required in other to ensure that each player kicks the ball to every other atleast once is 136 kicks.

The Number of kicks could be related to the sum of the nth term of an arithmetic series

[tex]S_n = \frac{n}{2} (2a_1 + (n-1)d)[/tex]

n = number of terms = 17 players

First term,

[tex]a_1 = 0[/tex]

Common difference, d = 1

Inputting the Values into the equation :

[tex]S_n = \frac{17}{2} (2(0) + 16 \times 1)[/tex]

[tex]S_n = 8.5(0 + 16)[/tex]

[tex]S_n = 0 + 136[/tex]

[tex]S_n = 136[/tex]

Hence, the minimum number of kicks which would be taken by the players in other to ensure that each player kicks to ball to every other atleast once is 136 kicks.

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Answer:

C

Step-by-step explanation:

y and 67 are alternate exterior angles and are congruent , then

y = 67° → C

Answer:

6 cups

hopes this help you

Answer:

[tex]2*y^{2}[/tex]

Step-by-step explanation:

The product of 2 is multiplication and the second power of y is just y squared

Answer:

x = 30

Step-by-step explanation:

These angles are supplementary which means they add up to 180:

2x + 50 + 5x - 80 = 180

7x - 30 = 180

7x = 180 + 30

7x = 210

x = 30

y= 3x –4

3x + y = –4

3x + (3x –4) = –4

3x+3x – 4 = – 4

6x = – 4 +4

6x=0 —> x= 0/6 —> x=0

y = 3x – 4 —> y = 3(0) – 4 = – 4

I hope I helped you^_^

Answer:

(0,-4)

Step-by-step explanation:

3x + y = -4

3x + (3x - 4) = -4

3x + 3x - 4 = -4

6x = 0

x = 0

y = 3(0) - 4

y = -4

Answer:

-3

Step-by-step explanation:

What this tells you is that where you see an x on the right hand side of the equation, you put -1.

h(-1) = 2(-1) - 1

h(-1) = -2 - 1

h(-1) = - 3

Step-by-step explanation:

(4x + 5y) - (2x+5)

impliment the negative

4x + 5y -2x -5

combine like terms

2x + 5y - 5

traditionally the x goes first but it could be y too such as 5y + 2y - 5

either one is the final answer

Answer:

2x + 5y - 5

Step-by-step explanation:

(4x + 5y - (2x + 5)

remove the brackets.

➡️ 4x + 5y - (2x - 5)

if there is a "-" in front of a form in brackets, change the sign of each term in the form.

➡️ 4x + 5y - 2x - 5

simplify terms by adding or subtracting.

➡️ 2x + 5y - 5

Hình thức thay thế :

7 x^2 + 7 x y - 2

7/4 (2 x + y)^2 + 1/4 (-7 y^2 - 8)

x (7 x + 7 y) - 2

Dẫn 1 phần :

d/dx(7 x (x + y) - 2) = 7 (2 x + y)

d/dy(7 x (x + y) - 2) = 7 x

Answer:-11

Step-by-step explanation:

Answer:

a)   -11

Step-by-step explanation:

[tex]\frac{3 + x}{4}[/tex] = [tex]\frac{x + 1}{5}[/tex]

transpose

5 (3+x) = 4 ( x+1)

15 + 5x = 4x + 4

5x - 4x = 4 - 15

x = -11

You can even cross-check

a . -11

[tex]\frac{3 + (-11)}{4}[/tex] = [tex]\frac{-11 + 1}{5}[/tex]

[tex]\frac{3 - 11}{4}[/tex] = [tex]\frac{-10}{5}[/tex]

[tex]\frac{-8}{4}[/tex] = -2

-2 = -2

CROSS-CHECKED

Answer:

BC = 22

Step-by-step explanation:

BD = 67

Bc = 3x - 2

CD = 4x + 13

BC + CD = BD (Given)

3x - 2 + 4x + 13 = 67

3x + 4x -2 + 13 = 67

7x + 11 = 67

7x = 67 - 11

7x = 56

x = 56 ÷ 7

x = 8

now instead of x put 8

Bc = 3x - 2

BC = 3(8) -2

BC = 24 -2

BC = 22

Answer:

The answer is D

Step-by-step explanation:

Start by subtracting 2x from both sides

-4y = -2x + 8

Divide both sides by -4

y = 1/2x - 2

or

y = one-half x minus 2

Answer:

i dont know

Step-by-step explanation:

Answer:

ADF

Step-by-step explanation:

AD and DF intersect at Angle ADF. It's in the picture.

Answer:

11[tex]x^{2}[/tex]

Step-by-step explanation:

After simplifying all the other ones, they all equal 11x, except 11x^2

Answer:

52.5 km

Step-by-step explanation:

the info about the trip from Malim to Petani is irrelevant and only there to confuse us.

but from the return trip info we get all we need.

for x km it took then 30 minutes at an average speed of 105 km/h.

to get km out of km/h, we need to multiply the speed number by the hours traveled. that removed the "h" and leaves us with km.

n km/h × a h = a×n km

so, now, in our example we have 105 km/h, and 30 minutes = 1/2 h.

so, we have

x = 105 km/h × 1/2 h = 105/2 km = 52.5 km