What is the answer for X-5(x-1)=x(2x-3) ?

Answer:

discount is -7.15

final price is $5.68

Step-by-step explanation:

55% of 13 = 7.15

subtract 7.15 from 13

f(a) = 0 and f(b) = 0

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:

The side opposite the 30* angle = a

The side opposite the 60* angle = [tex]a\sqrt{3}[/tex]

The side opposite the 90* angle = 2a

(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")

They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:

Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.

Once we know what "a" is, we can fill in the rest:

30* = 5

60* = [tex]5\sqrt{3}[/tex]

90* = 10

Answer:

a) The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):

[tex]i[/tex]         [tex]a_{i}[/tex]

1         6

2        11

3        16

4        21

5        26

b) The algebraic expression for the general term of the sequence is [tex]a(i) = 6 + 5\cdot (i - 1)[/tex].

c) The 25th term in the sequence is 126.

Step-by-step explanation:

a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...

The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):

[tex]i[/tex]         [tex]a_{i}[/tex]

1         6

2        11

3        16

4        21

5        26

b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:

[tex]a(i) = a_{1} + r\cdot (i - 1)[/tex] (1)

Where:

[tex]a_{1}[/tex] - First element of the sequence.

[tex]r[/tex] - Arithmetic difference.

[tex]i[/tex] - Index.

If we know that [tex]a_{1} = 6[/tex] and [tex]r = 5[/tex], then the algebraic expression for the general term of the sequence is:

[tex]a(i) = 6 + 5\cdot (i - 1)[/tex]

c) If we know that [tex]a(i) = 6 + 5\cdot (i - 1)[/tex] and [tex]i = 25[/tex], then the 25th term in the sequence is:

[tex]a(25) = 6 + 5\cdot (25 - 1)[/tex]

[tex]a(25) = 126[/tex]

The 25th term in the sequence is 126.

Answer:

The correct answer is 0 or A

Step-by-step explanation:

2/0+2 + 1/5 = 6/0+5

2/2 + 1/5 = 6/5

1 + 1/5 = 6/5

5/5 + 1/5 = 6/5

6/5 = 6/5

Answer:

28 cm

Step-by-step explanation:

volume of a rectangle: l*w*h

the first cuboid: 7*4*2= 56

56=2*1*y

56=2y

28=y

Answer:

28cm

Step-by-step explanation:

Since the two cuboids have the same volume, we use the volume of cuboid one to find the length of side y,

Volume of a cuboid = [tex]length * breadth * height[/tex]

Volume of the cuboid with all sides given is = 7 * 4 * 2 = 56cm cubed.

Now we use that volume to calculate the length y,

56 = 1 * 2 * y

56 = 2y

y = 56/2

y = 28cm

Answer:

Step-by-step explanation:

x^2-16y-4x-12=0

Transpose and separate x and y

16y = x^2-4x-12

16y = (x^2-4x+4) -16

16y = (x-2)^2 -16

y = (1/16)(x-2)^2 -1

This means that the vertex is at

(x-2)=0 or x=2

y = -1

=> vertex (2,-1)

Answer:

0.8969

Step-by-step explanation:

This can be solved using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

p = 0.9031

Number of trials, n = 12

q = 1 - p =0.0969

x ≥ 10

P(x ≥ 10) = P(x= 10) + p(x = 11) + p(x = 12)

P(x = 10) = 12C10*0.9031^10 * 0.0969^2 = 0.2236

P(x = 11) = 12C11 * 0.9031^11 * 0.0969^1 = 0.3790

P(x = 12) = 12C12*0.9031^12 * 0.0969^0 = 0.2943

P(x ≥ 10) = (0.2236 + 0.3790 + 0.2943)

P(x ≥ 10) = 0.8969

Answer: ₹2646

Step-by-step explanation:

Given

The volume of the room is [tex]V=270\ m^3[/tex]

cost of painting the walls is ₹[tex]3600[/tex] at the rate of [tex]15\ m^2[/tex]

So, the area of walls is

[tex]\Rightarrow A=\dfrac{3600}{15}\\\\\Rightarrow A=240\ m^2[/tex]

This the area of 4 walls i.e.

[tex]\Rightarrow 240=2[hl+hb]\\\Rightarrow 120=h[l+b]\\\Rightarrow 120=4bh\quad [\text{length is thrice of width}]\\\Rightarrow 30=bh\qua \ldots(i)[/tex]

The volume of the room is given by

[tex]V=l\times b\times h\\270=3b\times b\times h\\90=hb^2\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{90}{30}=\dfrac{b^2h}{bh}\\\\\Rightarrow b=3\ m[/tex]

So, the length of the room is

[tex]l=3b\\l=3\times 3\\l=9\ m[/tex]

The area of the floor is

[tex]\Rightarrow A_o=l\times b\\\Rightarrow A_o=9\times 3\\\Rightarrow A_o=27\ m^2[/tex]

The cost of flooring is

[tex]\Rightarrow 27\times 98\\\Rightarrow Rs.2646[/tex]

Answer:

8: 190 yd , 9: 30 m, 10: 92 ft

Step-by-step explanation:

for 8, you can spit it up pretty simply. find 10x18 which is 180 and then 5x2 which is 10 so 8 is 190.

for 9, 2x8=18 for the top portion and for the sides 3x2=6, so twelve. Combined its 30m.

for 10, 10x8=80, then 6x2=12. so 92 ft combined.

Answer:

12% increase

Step-by-step explanation:

Have a good day :)

Answer:

the radius would be 5 centimeters

Answer: It let me add an answer!! For number 19. The answer is y > 3x - 3. And for number 20. The answer is y is less than or equal to 1/2x + 1

Have a nice day! :)

Answer:

Yes

Step-by-step explanation:

So permiter is two*lengths plus 2*width of a shape.

Area is the length times the width.

For examplel if a square has a length of 2, and a width of 3 the permiteter is:

2*2+3*3=

4+9

=

13

On the other hand, area  would be:

2*3

=

6

I hope this helps!

Answer:

Its D

square root of 37 = 6.0

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

By linear pair and exterior angle theorem:

[tex]x \degree + (180 - 99) \degree = 113 \degree \\ \\ x \degree + 81 \degree = 113 \degree \\ \\ x \degree = 113 \degree - 81 \degree \\ \\ x \degree = 32 \degree \\ \\ x = 32[/tex]

Answer:

a pound is 16 oz. so 2 onions are a pound. meaning 5 onions equal 2 1/2 pounds.

2.5 × 0.79 = $1.975 (about $1.98)

Answer:

11.6

Step-by-step explanation:

Answer:

22 inches

Step-by-step explanation:

so to find the diameter you divide the circumference by pi(3.14)

69.1÷3.14=22.006

now rounding that you get 22

Answer:

28u+16w-32

Step-by-step explanation:

Distributive property means you multiply everything on the inside of the parentheses by everything on the outside so....

4(7u)=28u

4(4w)=16w

4(-8)=-32

Answer:

In first box, it’s 5

and then it’s 6/10

Step-by-step explanation:

Answer:

The answer is F^8

Step-by-step explanation:

9 + 3 = 12

12 - 4 = 8

=f^8

Answer:

$449.5

Step-by-step explanation:

Given data

Earning rate=  $15.50 per hour

Number of hours worked = 29 hours

Hence the amount earned is

=15.5*29

= $449.5

Hence the total amount she earned is $449.5

Answer:

10^2 = 100

100 x 3.14 = 314(area of circle)

314 x 2 = 628(area of both two circles/base and top)

2 x 3.14 x 10 = 62.8(circumference),

62.8 x 6(height) = 376.8

Add areas:

376.8 + 628 = 1,004.8 m2 is your answer.

Answer:

73%

Step-by-step explanation:

Let us have the original price as $100

A discount of 27% will be;

27/100 * 100 = $27

so, the value to be paid will be $100 - $27 = $73

Now, what percentage of $100 is the $73 that was paid

that would be;

73/100 * 100% = 73%

Answer:

Do you want the derivative?!

Answer:

Step-by-step explanation:

multiplication:  (x-1)  *  (x+3)  *  (x-4)

(x-1) * (x+3)

x^2 + 2x - 3

(x^2 + 2x -3)(x-4)

x^3-2x^2-5x+ 12

finding the zeroes:

(x-1)         (x+3)    (x-4)

x-1:0      x+3:0     x-4:0

+1:1          -3:3     +4: 4

x: 1            x:3        x:4

Answer: The answer you are looking for is “B increased competition”

Step-by-step explanation: The reason why it is the answer b is when two species eat the same type of food and that said food is decreased as much as 50% there will be a lot of competition that will take place because both species want to survive so it is pretty much anyone for themselves.

Have a nice day!

Answer:

5/12.

as a decimal it is 0.4167 to the nearest ten thousandth.

Step-by-step explanation:

tan B = opposite side/adjacent side

= 10/24

= 5/12.

Answer:

I think the correct answer is 5/12