Explain the difference between a two-variable equation graph and a two-variable inequality graph. Give an example of an equation

Answer: 77

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Katie collected 365 cans in the second week.

Step-by-step explanation:

Because Katie collected 470 cans in the first week, and 105 less in the second week, we know to subtract 105 from 470, which gives us 365 cans.

Answer:

  4x - 3(6x - 1) = -11

Step-by-step explanation:

Solving the first equation for y, we get ...

  6x -y = 1 . . . . . given

  6x -1 = y . . . . . add y-1 to both sides

Then, filling in for y, we have ...

  4x -3y = -11 . . . given

  4x -3(6x -1) = -11 . . . . using 6x-1 in place of y . . . matches 3rd choice

Answer:

4(4a+5)

16a+20

Step-by-step explanation:

4×4a=16a

4×5=20

Answer:

12 in.

Step-by-step explanation:

Formula: a^2 + b^2 = c^2

This case: c^2 - a^2 = b^2

1) 15^2 + 9^2 = b^2

2) 225 - 81 = 144

3) [tex]\sqrt{144[/tex] = 12

Step-by-step explanation:

_______________________________________

[tex]2 {x}^{2} + x - 3[/tex]

Write the equation

_______________________________________

[tex] = 2 {x}^{2} + 3x - 2x - 3[/tex]

expand x into 3x and -2x

_______________________________________

[tex] = x(2x + 3) - (2x + 3)[/tex]

take x out and 2x+3 in bracket and take - out and 2x+3 in brackets

_______________________________________

[tex] = (2x + 3)(x - 1)[/tex]

_______________________________________

hope it helped you:)

Answer: +1k

Step-by-step explanation: In order for you to be able to add two terms together, the terms need to be exactly the same except for the coefficients.

Here, since both terms contain a k, we can add them together.

So -6k + 7k simplifies to +1k.

Note that if you had said k,

that's also an acceptable answer.

Answer:

(x^2+9)(x+3)(x-3) or the 3rd bubble (2nd to last).

Step-by-step explanation:

a2−b2=(a+b)(a−b)a2-b2=(a+b)(a-b) where a=x2a=x2 and b=9b=9.

(x2+9)(x+3)(x−3)

Step-by-step explanation:

Let's take the RHS,

we've,

Let's Rationalise the Denominator.

we get,

The numerator is in form of (a-b)^2 and the denominator is in form of a^2-b^2. Now,

By formula,

Here I substituted Cosa in place of (Cosa/2)^2 - (sina/2)^2 because it's the formula of cosa in sub multiple angle form.

(sina/2)^2 + (Cosa/2)^2 =1.........( by formula)

so we have,

LHS proved.

Thank You.

Answer:

You could put it over 1. Like this:

-4/1

Step-by-step explanation:

Answer:

-4/1 or -16/4

Step-by-step explanation:

if you have a negative fraction, the anwer will me negative.

Answer:

See below

Step-by-step explanation:

Answer choices:

1. The potato was launched from the ground.

2. The flight is symmetric about the line t = 2.

3. The potato reaches a maximum height of about 3 ft

4. The potato is in the air during the interval 0

5. The potato reaches its maximum height after about 3 seconds in flight.

6. h(2)=h(5)

Answer:

She bought 180 eggs.

step 1: given

step 2: distributive property

step 3: addition property of equality

step 4: division property of equality

i'm pretty sure....

Answer:

4(3x    distributive property

12x -    subtraction property of equality

12 =    multiplication property of equality

x=7     division property of equality

Answer:

90 degrees each

Step-by-step explanation:

Let's go!

One angle has a mesure 2 times the other angle

that is x+y=180

where y=2x

x+2x=180

3x=180

x=180/3

x=90.

x+y=180

90+90=180

As required

Answer:

Indefinate Solutions

Step-by-step explanation:

3x - x - 5 = 2(x + 2) - 9

3x - x - 5 = 2x + 4 - 9

3x - x - 2x = 4 - 9 + 5

0 = 0

I hope this helped.

Given:

The value of the solid's surface area is equal to the value of the solid's volume.

Length(l) = 9 units

width(b) = 4 units

Height(h) = x units

To find:

The value of x.

Solution:

Solid's surface area is

[tex]Area=2(lb+bh+hl)[/tex]

[tex]Area=2(9\times 4+4\times x+x\times 9)[/tex]

[tex]Area=2(36+4x+9x)[/tex]

[tex]Area=2(36+13x)[/tex]

[tex]Area=72+26x[/tex]

Volume of solid is

[tex]Volume=l\times b\times h[/tex]

[tex]Volume=9\times 4\times x[/tex]

[tex]Volume=36x[/tex]

Solid's surface area = Volume of solid

[tex]72+26x=36x[/tex]

[tex]72=36x-26x[/tex]

[tex]72=10x[/tex]

Divide both sides by 10.

[tex]7.2=x[/tex]

Therefore, the value of x is 7.2.

Answer:

The indifference point is $7,500 in sales.

Step-by-step explanation:

Giving the following information:

He can earn either $600 per month plus a %5 commission or $450 per month and a %7 commission.

First, we need to structure the total income formula:

Total income 1= 600 + 0.05x

Total income 2= 450 + 0.07x

x= sales

Now, we need to equal both equations and isolate x:

600 + 0.05x = 450 + 0.07x

150= 0.02x

150/0.02= x

x= $7,500

The indifference point is $7,500 in sales.

Answer:

x=-6

Step-by-step explanation:

(3/1*1/3)=1

-2*3=-6

x=-6

Answer:

[tex]y=-3x+41[/tex]

Step-by-step explanation:

Equation of a Line

A line of slope m and y-intercept b can be expressed by the equation:

[tex]y=mx+b[/tex]

We are given a line with the equation:

[tex]y=1/3x-5[/tex]

The slope of this line is m1=1/3. To find the slope m2 of a line perpendicular to this one, we use the following equation:

[tex]m_1.m_2=-1[/tex]

Solving for m2:

[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]

[tex]\displaystyle m_2=-\frac{1}{\frac{1}{3}}=-3[/tex]

Once found the new slope, the required equation has the form:

[tex]y=-3x+b[/tex]

To find b, we use the point (9,14) through which the line passes:

[tex]14=-3(9)+b[/tex]

[tex]b=14+27=41[/tex]

Thus the equation of the line is:

[tex]\boxed{y=-3x+41}[/tex]

Answer:

a = 3, b = 0, c = 0, d = -2

Step-by-step explanation:

To find the reflection Multiply the matrices

∵ The dimension of the first matrix is 2 × 2

∵ The dimension of the second matrix is 2 × 3

1. Multiply the first row of the 1st matrix by each column in the second matrix add the products of each column to get the first row in the 3rd matrix.

2. Multiply the second row of the 1st matrix by each column in the second matrix add the products of each column to get the second row of the 3rd matrix

[tex]\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right][/tex]  × [tex]\left[\begin{array}{ccc}0&3&0\\0&0&2\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}(1*0+0*0)&(1*3+0*0)&(1*0+0*2)\\(0*0+-1*0)&(0*3+-1*0)&(0*0+-1*2)\end{array}\right]=\left[\begin{array}{ccc}0&3&0\\0&0&-2\end{array}\right][/tex]

Compare the elements in the answer with the third matrix to find the values of a, b, c, and d

∴ a = 3

∴ b = 0

∴ c = 0

∴ d = -2

Answer:

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

12 professors

3 professors younger than 33

3/12 x 100 = 25%

Answer:

Step-by-step explanation:

y - 6 = 3(x + 5)

y - 6 = 3x + 15

y = 3x + 21

Answer:

Step-by-step explanation:

table B

Answer:

B

Step-by-step explanation:

Answer:

Option A is right because when you multiply the parentheses for all the 4 options, only option A gives the right value to the question.

Answer:

F(1)= (1)2 + 2

          2+2

           =4

F(5)= (5)2 + 2

          10+2

           =12

F(1) + F(5) = 12+4

            =16

Step-by-step explanation:

:D

3= less than because the square root of 8 is 2.82842712475

4= 3.7417

5 20.833333333333

Answer:

25.5 ft

Step-by-step explanation:

I dont think humans can be that tall. lol