factorise 2x(a-2b)+3y(2b-a)​

Answer:

The correct answer is B

Step-by-step explanation:

You want an even number per grade level to get comparable results.

Answer: um well it’s b... sorry for being 2 years late yk I was getting a drink of water

Step-by-step explanation:

Answer: 20%

Step-by-step explanation:

There are 15 total cookies. Divide 3 by 15, 3 being how many cookies he took out. Then you get 0.2. Move the decimal over two and you have 20%.

Answer:

53 miles

Step-by-step explanation:

I'm going to assume "$0.25 for each time" is "$0.25 per mile."

$1.75 is the flat fee. It costs 25 cents for each mile. We can represent this as:

1.75 + 0.25m

The sum of this equation has to be less than or equal to $15. We can display this as:

1.75 + 0.25m ≤ 15.

To solve, we must first isolate 0.25m. To do this, we subtract 1.75 from each side.

0.25m ≤ 15 - 1.75

0.25m ≤ 13.25.

Now, we must isolate the variable 'm' to determine how many miles Eddie can travel. To do this, we divide 0.25 from each side.

m ≤ 13.25 / 0.25

m ≤ 53.

Therefore, Eddie can travel 53 miles if he has $15 to spend.

Answer:

(

k

+

9

)

(

k

−

9

)

(k+9)(k-9)

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

Answer:

[tex]x-12[/tex]

Step-by-step explanation:

First open the brackets

[tex]=(4x-6)-(3x+6)\\\\\\=4x-6-3x-6[/tex]

Then collect the like terms

[tex]4x-3x-6-6[/tex]

Solve the like terms

[tex]4x-3x=x\\\\\\-6-6=-12\\\\\\=x-12[/tex]

The simplified form is

[tex]x-12[/tex]

Answer:

D) e

Step-by-step explanation:

ln e^e

We know that ln x^a is the same as a ln x

e ln (e)

we know that ln e =1

e (1)

e

Answer:

The correct answer is:  [D]:  " e " .

Step-by-step explanation:

__________________________________________________

  ln e^e = e * (ln e)  = e * (1) = e .

__________________________________________________

Answer:

c

Step-by-step explanation:

The measures of angle B and angle D of the given parallelogram will be 55°, i.e. option A.

Parallelogram is a 2D shape, having opposite sides parallel and equal. Also the opposite angles of parallelogram are congruent means equal.

We have,

A Parallelogram with,

Angle B = (2n + 15)° and,

Angle D = (3n - 5)°

So,

As mentioned above in the definition that the opposite angles of parallelogram are congruent means equal.

i.e.

Angle B = Angle D

i.e.

2n + 15 = 3n - 5

On solving we get,

20 = n

⇒ n = 20,

So,

Angle B = (2n + 15)° = (2 * 20 + 15)° = 55°

And,

Angle D = (3n - 5)° = (3 * 20 - 5)° = 55°

Hence, we can say that the measures of angle B and angle D of the given parallelogram will be 55°, i.e. option A.

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Answer:  [tex]x=8[/tex]

Step-by-step explanation:

Given the quadratic function  [tex]0=x^2-16+64[/tex], you need to follow these steps:

 1. You must substitute [tex]f(x)=0[/tex] into the function:

[tex]0=x^2-16+64[/tex]

2. Now you need to factor the quadratic equation. Choose two numbers whose sum be -16 and whose product be 64.

These numbers are: -8 and -8.

Since the root appears twice, it is a "Double root". Then:

[tex](x-8)^2=0\\\\x=8[/tex]

[tex]f(x)=9\Longrightarrow f(-2)=9[/tex]

The function is a constant. No matter the input the output will always be equal to 9.

Hope this helps.

r3t40

Answer:

[tex]=\frac{12w+15g-100}{20}[/tex]

Step-by-step explanation:

Three-fifth of w is 3/5 of w

[tex]=\frac{3}{5} *w=\frac{3}{5} w[/tex]

Three-fourths of g is three-quarters of g

[tex]=\frac{3}{4} *g=\frac{3}{4} g[/tex]

find the sum of the fractions then subtract 5

[tex]=\frac{3}{5}w-\frac{3}{4} g-5\\\\\\=\frac{3}{5}w-\frac{3}{4}g-\frac{5}{1}[/tex]

The LCM here is 20 i.e 5*4

=[tex]\frac{3}{5} w+\frac{3}{4}g-\frac{5}{1}=\frac{12w+15g-100}{20} \\[/tex]

Answer:

D) 50+31.5x

Step-by-step explanation:

10% of 35 is 3.5

35-3.5=31.5

Answer:

The simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

Step-by-step explanation:

We have to simplify the following

-6.3x+14 and 1.5x-6

it can be written as:

=(-6.3x+14) + (1.5x-6)

Adding the like terms

=(-6.3x+1.5x)+(14-6)

= (-4.8x)+(8)

= -4.8x+8

So, the simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

ANSWER

66 cubic units

EXPLANATION

The volume of a triangular prism is the area of the triangular base times the height of the prism.

We calculate the volume using the formula:

[tex]volume = \frac{1}{2} bh \times H[/tex]

where b=4 is the base of the triangle and h=3 is the height of the triangle.

H=11 is the height of the prism.

We substitute these values to get;

[tex]volume = \frac{1}{2} \times 4 \times 3 \times 11[/tex]

[tex]volume = 66 \: cubic \: \: units[/tex]

Answer:

32 students

Step-by-step explanation:

We are given that at the beginning of a class period, half of the students in a class go to the library and half of the remaining to the computer lab.

Given that there are 8 students remaining, we are to find the total number of students in the class initially.

At beginning = [tex]x[/tex] students

After half of them leave = [tex]\frac{x}{2}[/tex] students

After half of the remaining leave = [tex]\frac{x}{4}[/tex] students

So, [tex]\frac{x}{4} = 8[/tex]

[tex]x=8\times 4[/tex]

x = 32

Therefore, there were 32 students in the class originally.

there were 32 students in the class originally.

because in the computer lab before there were 16.  16 times 2 equals 32.

Answer:

The next number is 1321232112

Step-by-step explanation:

32 is read off as "one 3, one 2" = 1312

1312 is read off as "one 1, one 3, one 1, one 2" = 11131112

11131112 is read off as "three 1s, one 3, three 1s, one 2" = 31133112

31133112 is read off as "one 3, two 1s, two 3s, two 1s, one 2" = 1321232112

[tex]\bf \begin{array}{rrlll} term&\stackrel{f(n+1)=-0.5f(n)}{~\hfill value~ }\\ \cline{1-2} f(1)&120\\ f(2)&-0.5(120)\\ &-60\\ f(3)&-0.5(-60)\\ &30\\ f(4)&-0.5(30)\\ &-15\\ f(5)&-0.5(-15)\\ &7.5 \end{array}[/tex]

Answer:

f(5) = 7.5

Step-by-step explanation:

The recursive formula allows a term in the sequence to be found from the previous term, thus

f(2) = - 0.5 f(1) = - 0.5 × 120 = - 60

f(3) = - 0.5f(2) = - 0.5 × - 60 = 30

f(4) = - 0.5f(3) = - 0.5 × 30 = - 15

f(5) = - 0.5f(4) = - 0.5 × - 15 = 7.5

Answer: -12

Step-by-step explanation:

Answer:

Hi there!

The answer to this question is negative 12.

The answer is:

The first option shows the graph of the given function.

Since the given function is an exponential function, we are looking for an exponential function graph, with a function that intercepts the y-axis at y equal to 2, or the point (0,2).

So, since we are given just one exponential graph, let's find the y-axis intercept in order to assure that the correct option is the first graph.

The function is:

[tex]y=2e^{x}[/tex]

Finding the y-axis intercept, we need to make "x" equal to 0, so:

[tex]y=2e^{0}[/tex]

We need to remember that any number elevated or powered to 0 is equal to 1, so:

[tex]y=2*1=2[/tex]

We have that the function intercepts the y-axis at y equal to 2, or the point (0,2).

Finding the x-axis intercept, we need to make "y" equal to 0, so:

[tex]y=2e^{x}[/tex]

[tex]0=2e^{x}[/tex]

[tex]Ln(0)=Ln(2e^{x})[/tex]

Now, since the natural logarithm of "0" does not exist in the real numbers, we can see that there is not x-axis intercept for this function.

Hence, the first option shows the graph of the given function.

Have a nice day!

Note: I have attached a picture for better understanding.

Answer:

Graph A

Step-by-step explanation:

Correct on edge!

Answer:

the box is cheaper

Step-by-step explanation:

2L bottle=$2,8(1L=$1,4)

[tex]6 \times 12 \: l \: bottle = 3.9(1l = \frac{0.65}{12} )[/tex]

the box is cheaper

Answer:

8 Gauss

Step-by-step explanation:

Since your moving the magnet from 10 to 20cm you're essentially multpliying the distance by 2.

K = 2

Therefore k ^ 3 = 2^3

64/2^3

=8

Answer:

8 Guass

Step-by-step explanation:

We multiply the distance by a factor of $2$, and thus divide the magnetic field strength by a factor of $2^3 = 2 \cdot 2 \cdot 2 = 8$. We get a magnetic field strength of 64/8 = 8

3x +11 = K

To solve for X, we need to isolate x on one side.

Subtract 11 from both sides:

3x = K -11

Divide both sides by 3:

x = (k-11)/3

Answer:

3x +11 = K

x = (k-11)/3

Step-by-step explanation:

Answer:

3x + 8

Step-by-step explanation:

Please use the symbol " ^ " to indicate exponentiation:  12x^2 + 29x – 8.

To answer this question, try dividing this 12x^2 + 29x – 8 by each of the given possible factors, one by one.  If the end result is a zero remainder, that indicates that the particular factor is in fact a factor of 12x^2 + 29x – 8.

Alternatively, use synthetic division; if the end result is zero, then you have identified a root of 12x^2 + 29x – 8, as well as a factor.

Let's focus on x - 8:  Is this a factor?  Is 8 a root?  Set up synthetic division as follows:

8   )   12    29    -8

                96   1000

         -----------------

         12   125   992    

The non-zero remainder (992) indicates that 8 is not a root of 12x^2 + 29x – 8, and that x - 8 is not a factor.

Continuing onto the next given possible factor, 2x - 1, we set this = to 0 and solve for x, obtaining x = 1/2.  Use synthetic division again:

1/2      )    12    29    -8

                        6     35/2

         ------------------------

              12      35    19/2                    No, 1/2 is not a root and

                                                             2x - 1 is not a factor of 12x^2 + 29x – 8.

Try possible root x = -8/3:

-8/3   )   12      29      -8

                     -32       8

        ----------------------------

            12       -3         0

This zero remainder tells us that 3x + 8 is a factor of 12x^2 + 29x – 8.

Answer:

C. on edge

Step-by-step explanation:

Answer:

The set {10 , 24 , 26} formed a right triangle

Step-by-step explanation:

* Lets explain how to check the sides lengths which formed a  

 right triangle

- In triangle ABC

# If AC is the longest side in length

# If (AC)² = (AB)² + (BC)²

∴ AB , BC , AC formed a right angle triangle  

∴ m∠B = 90°  (The angle opposite to the longest side)

∴ AC is the hypotenuse

* Now lets solve the problem

- In set 8 , 12 , 15

∵ The longest side is 15 cm

∴ (15)² = 225

∵ (8)² + (12)² = 64 + 144 = 208

∵ (15)² ≠ (8)² + (12)²

∴ The set not formed a right triangle

- In set 10 , 24 , 26

∵ The longest side is 26 cm

∴ (26)² = 676

∵ (10)² + (24)² = 100 + 576 = 676

∵ (26)² = (10)² + (24)²

∴ The set formed a right triangle

- In set 12 , 20 , 25

∵ The longest side is 25 cm

∴ (25)² = 625

∵ (12)² + (20)² = 144 + 400 = 544

∵ (25)² ≠ (12)² + (20)²

∴ The set not formed a right triangle

- In set 15 , 18 , 20

∵ The longest side is 20 cm

∴ (20)² = 400

∵ (15)² + (18)² = 225 + 324 = 549

∵ (20)² ≠ (15)² + (18)²

∴ The set not formed a right triangle

* The set {10 , 24 , 26} formed a right triangle

Answer:

3

Step-by-step explanation:

Answer:

The correct answer is (3,2)

ANSWER

58°

EXPLANATION

The relationship between the measure of the bigger arc and the smaller arc and the angle created by the secant and the tangent is

[tex]51 \degree = \frac{1}{2} (160 - x)[/tex]

Multiply through by 2

This implies that

[tex]2 \times 51 \degree =2 \times \frac{1}{2} (160 - x)[/tex]

We simplify to get:

[tex]102 \degree =160 - x[/tex]

Solve for x.

[tex]102 \degree - 160 \degree =- x[/tex]

[tex] - 58 \degree =- x[/tex]

[tex]58 \degree =x[/tex]

Answer:

See attachment.

If altitude = 45 then

side = 2 * height (or altitude) / square root of 3

side = 2 * 45 / 1.7320508076

side = 90 / 1.7320508076

side = 51.9615242271

Step-by-step explanation:

Follow below steps;

When dealing with an equilateral triangle, dividing it by an altitude creates two 30-60-90 right triangles. Since we know the length of the altitude (45), which corresponds to the shorter leg in the 30-60-90 triangle, we can find the length of the side of the equilateral triangle (which is the hypotenuse of the 30-60-90 triangle) using the properties of this special right triangle.

To begin, we recognize that the ratios of the sides of a 30-60-90 triangle are 1:\\(extbackslashsqrt{3}\\):2. Thus, if the shorter leg is 45, the hypotenuse will be twice that length, because the ratio of the shorter leg to the hypotenuse is 1:2. Therefore, the length of a side of the equilateral triangle is 45 * 2, which equals 90.

Answer:

A! Straight up!

Answer:

60y = 30x - 12

y = 1/2x - 1/5

The slope is 1/2

Answer:

1/2

Step-by-step explanation:

30 over 60 is half

Answer:

3 TERMS

Step-by-step explanation:

There are total 3 terms in the polynomial  [tex]x^{2} + xy - y^{2}[/tex] .

The given polynomial expression is  [tex]x^{2} + xy - y^{2}[/tex] .  

The number of terms of any expression is the total number of independent variables present in the given polynomial expression.

We can see that there are total 3 independent variables present in the polynomial expression and therefore the number of terms present is also three.    

Thus, there are total 3 terms in the polynomial  [tex]x^{2} + xy - y^{2}[/tex] .

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