Expand and simplify
n(6 + n) =

Answer:

Step-by-step explanation:

keep change flip

Answer:

y = 3/2 x + 9/2

Step-by-step explanation:

3x - 2y = 5

3x - 5 = 2y

3/2 x - 5/2 = y

y = 3/2 x - 5/2, slope of this line m = 3/2.

For parallel line slope is the same.

y = mx + b

y = 3/2 x + b

Using point (-1,3) , we can find b.

3 = (3/2)*(-1) + b

3 = -3/2 + b

b = 3 + 3/2 = 6/2 + 3/2 = 9/2

y = 3/2 x + 9/2

Answer:

C.

Step-by-step explanation:

= [tex]\sqrt[3]{8}^{x}\\[/tex]

= Since [tex]\sqrt[3]{} = ^{1/3}[/tex]

= So, It becomes :

= [tex]8^{\frac{x}{3}[/tex]

Answer:

Answer is below

Step-by-step explanation:

I graphed the equations on the graph below.

The slope of y = 4 and y = 5 is 0 because the lines are flat and constant, instead of increasing or decreasing.

Answer:

X=51/7, Y= -36/7

Step-by-step explanation:

X/3 + 2y/3 = -1 equ 1

X - y/3 = 9 equ 2

eliminate X/3.

X/3 + 2y/3 = -1..... x 1 ( co-efficient of X in equ2 )

X - y/3 = 9 ...... x 1/3 ( co-efficient of X in equ1 )

X/3 + 2y/3 = - 1 equ 3

-

X/3 - y/9 = 3 equ 4

0 + 7y/9 = -4

y = -36/7

( input the value of y into equ 4 )

X/3 -y/9 = 3

X/3 - (-36/7)/9 = 3

X/3 + 36/63 = 3

X/3 = 3 - 36/63

X/3 = 153/63

63X = 459

X = 459/63

X = 51/7.

Answer:

You can prove that they are the same because 2 angles opposite each other are equal the same.

Hope this helps

Answer:

I answered this already for you :) Check your other question

Answer: the numbers are 250 and 931

Step-by-step explanation:

We have two numbers of 3 digits, A and B such that:

A/B = 3.724

A = 3.724*B

now we can divide the 3.724 in two parts

3.724 = 3 + 0.724

A = (3 + 0.724)*B = 3*B + 0.724*B

So, for now we want to find a number B of 3 digits (i will try to find the smallest possible value of B, because we need to multiplicate B by 3.724 to find A), such that:

0.724*B is an integer.

for example, we can start at B = 1000, and then we will start to reduce the value of B

0.724*1000 = 7240 is an integer, this is an even number, this means that we can take B = 500 and we still will get an integer number.

0.724*500 = 362.

Again, we have an even number, so we can take B = 250 and the result will be also an integer number.

0.724*250 = 181.

Ok, stop here, we can suppose B = 250, then we have:

A = 3.074*B = 3.724*250 = 931

Then the numbers are 250 and 931

Answer:

b

Step-by-step explanation:

given

6x² + 17x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 5 = 30 and sum = 17

The factors are 2 and 15

Use these factors to split the x- term

6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )

= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term

= (3x + 1)(2x + 5) → b

The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.

Important information:

Splitting the middle term, we get

[tex]6x^2+15x+2x+5[/tex]

After grouping, we get

[tex](6x^2+15x)+(2x+5)[/tex]

Taking out common factors, we get

[tex]3x(2x+5)+1(2x+5)[/tex]

Now, it can be written as:

[tex](3x+1)(2x+5)[/tex]

Therefore, the correct options are b and d.

Find out more about 'Factoring' here:

https://brainly.com/question/2416165

Answer:

Correct option: First one -> Hexagonal prism

Step-by-step explanation:

In the figure we have two hexagons and six rectangles. If we fold each part correctly, we can use the two hexagons as horizontal bases of a prism, and the six rectangles would be the sides of the prism (each rectangle connected to one side of lower hexagon and one side of upper hexagon).

So the figure created would be a hexagonal prism.

Correct option: First one.

Answer:

First one

Step-by-step explanation:

Answer:

7.5 % increase

Step-by-step explanation:

So,first we  know that Square is also a special type of Rectangle,

so consider a Square with side 100 unit ,

Initially, After increament in side

Length = 100 unit -(increases by 10% ,So 110% of 100)    NEW length = 110 unit

width = 100 unit (increases by 5% ,So 105% of 100)     NEW  width =     105

initially, Perimeter of Rectangle = 2 x (L + B)  = 2 x (100 +100)

                                                              = 400 unit

After increment in length and width

Perimeter of New Rectangle = 2 x (L + B)  = 2 x (110 +105)

                                                                     = 430 unit

So we can clearly see that there is an increase of 30 unit in perimeter from initial.

Therefore ,% increase in perimeter will be

                   (final perimeter - initial perimeter)/initial perimeter x 100

                      =  (430 - 400)/400 x 100

                      = 7.5 % increase

Answer:

increased by 8%

Step-by-step explanation:

Answer:

r = t(r-3)

Step-by-step explanation:

t = r/r-3

r/r-3 = t

r = t x (r-3)

Pi*5 squared= 78.5 (rounded to 1 decimal place)

78.5/2=38.25

I divide it by two becAuse it is a semi circle

Answer=38.25

Answer:

It is 39.25

Step-by-step explanation: Khan Academy

Answer:

36 units

Step-by-step explanation:

The short leg is 9 units and the long one is 12 units.

Use pythagorean theorem to find the hypotenuse, a² + b² = c²

Plug in the numbers: 9² + 12² = c²

81 + 144 = c²

225 = c²

√225 = c

15 = c

Find perimeter by adding all 3 sides: 9 + 12 + 15 = 36 units.

Answer:

The Answer is: (-2,1)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The total number of students is 15+12= 27

The ratio of girls to total students is 12/27 = 4/9

Answer:

I'm 13 so I'll be able to imagine this.

Step-by-step explanation:

-depression

-worry of afterlife

-insecurity

-increased fear of losing other family members

-untrust

-just general sadness

-feeling like it is your fault/blaming yourself

Answer:

y = -2

Step-by-step explanation:

Plug in 3 for x

y = -2 (3) + 4

y = -6 + 4

y = -2

I hope this helps :))

Answer:

(A)[tex]128^{x/3}[/tex]

(D)[tex](4(2^{1/3}))^x[/tex]

Step-by-step explanation:

We want to determine which of the expression is equivalent to:

[tex]\sqrt[3]{128}^ x[/tex]

By the law of indices:

[tex]\sqrt[3]{128}=128^{1/3}\\$Therefore:\\\sqrt[3]{128}^ x \\=(128^{1/3})^x\\=128^{x/3}[/tex]

Similarly:

[tex]\sqrt[3]{128}^ x \\=\sqrt[3]{64*2}^ x\\=(4\sqrt[3]{2})^ x\\=(4(2^{1/3}))^x[/tex]

The expressions that are equivalent to (∛128)ˣ are; (128)^(x/3) and (4(2^(1/3))ˣ

We want to find the expression that is equivalent to (∛128)ˣ

From law of indices, we have that;

(∛128)ˣ = [(128)^(1/3)]ˣ

This can be further expressed as;

(128)^(x/3)

Similarly, we have the simplified expression at;

[(128)^(1/3)]ˣ = (64 * 2)^(x/3)

⇒ (4³ * 2)^(x/3)

⇒ (4(2^(1/3))ˣ

Read more about law of indices at; https://brainly.com/question/11761858

#SPJ6

Answer:The selling price of the outfit is $79.3

Step-by-step explanation:

18 + 12 + 35 = $65  

65* 22% = 14.3

14.3 + 65 = $79.3

or

100% + 22% =  122%

122% of 65

1.22 * 65 = 79.3

Answer:

C. (or the third graph)

Step-by-step explanation:

Answer:

6 feet

Step-by-step explanation:

The dolphin jumps 3 feet above sea level and it starts from the opposite distance below sea level.

This means that it starts from 3 feet below sea level.

The total distance the dolphin travels from its starting point to the top of the jump is therefore:

3  + 3 = 6 feet

Answer:

Step-by-step explanation:

[tex]1) \frac{tan A + Sin A}{tan A - Sin A}=\frac{\frac{sin A}{cos A}+sinA}{\frac{sinA}{cos A}-sin A}\\\\=\frac{\frac{sin A + Sin A CosA}{Cos A}}{\frac{sinA-sinAcosA}{cosA}}\\\\=\frac{sin A + Sin A CosA}{Cos A}*\frac{cosA}{sinA-sinAcosA}\\\\=\frac{sinA+sinAcosA}{sinA-sinAcosA}\\\\=\frac{sinA(1+cosA)}{SinA(1-cosA)}\\\\\frac{1+cosA}{1-cosA}\\\\=\frac{1+\frac{1}{secA}}{1-\frac{1}{secA}}\\\\=\frac{\frac{secA+1}{secA}}{\frac{secA-1}{secA}}\\\\=\frac{secA+1}{secA-1}[/tex]

Explanation:

The leading term of a polynomial is the term with the largest exponent, which in this case that exponent is 4. So the leading term is -3x^4.

The leading coefficient is the coefficient of the leading term. The coefficient of the term -3x^4 is -3.

If the polynomial is written in standard form, then the process is as simple as reading the first coefficient. Otherwise, you may have to sort the terms out first.

Answer:85cm is kept comstant for a while

Step-by-step explanation:

For 2nd part

1m 80 cm

=1×100cm+ 80 cm

=100cm+ 80 cm

=180cm

So

#According to question,

If both are added then,

=85cm+180 cm

=265cm

please brainlest

Step-by-step explanation:

Answer:

x = -11

Step-by-step explanation:

-3x + 6 = 39

Combine Like Terms

-3x = 33

Divide Each Term then simplify

x = -11

Hope This Helps!

Answer:

x=-11

Step-by-step explanation:

In order to solve for x, we have to get x isolated.

To do that, we must perform the inverse operations to both sides of the equation.

-3x+6=39

6 is being added on to -3x. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

-3x+6-6=39-6

-3x=39-6

-3x=33

x is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

-3x/-3= 33/-3

x= 33/-3

x=-11

Answer:

a) It is not the case that the dress is yellow

a) The dress is multicolored

b) Mary has been exercising

step-by-step explanation:

The saying negates that the dress is yellow and saying the dress is multicolored implies that the dress is not just one color or just yellow.

For part b, the condition is, is Mary wearing tennis shoes. The conclusion then is that Mary has been exercising because she is wearing tennis shoes.

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

x = 125°

y = 180-125 = 55°

Step-by-step explanation:

The angles should sum to 180 in a triangle.

Since the other two are 25 and 30, for the third one, 180-25-30 = 125 is left, which is x.

Now y and x are supplementary angles, which means that x+y is also 180°.

So y = 180-x = 55°

Answer:

y = 55°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, thus

y = 25° + 30° = 55°