What are the steps, in order, needed to solve 3x + 4 = 13? Divide by 3, and then subtract 4. Multiply by 3, and then add 4. Add 4, and then multiply by 3. Subtract 4, and then divide by 3.

Answer:

a. ∠ABE  b. ∠DC   c. obtuse  angle  d.∠ FBC: OBTUSE ANGLE    

                                                              ∠EBF: REFELX ANGLE

                                                              ∠ABC: ACUTE ANGLE

e. ∠ DBC                f. 108+117 ÷36= 6.25

Step-by-step explanation:

Answer:

The solution of the Given matrix

  ( x₁ ,    x ₂ ) = ( - 5 , 4 )

Step-by-step explanation:

Step(i):-

Given equations are  x₁+4 x₂ = 11 ...(i)

                                 2 x₁ + 7 x₂= 18 ...(ii)

The matrix form

                                A X = B

            [tex]\left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right][/tex]

Step(ii):-

      [tex]\left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right][/tex]

The Augmented Matrix form is

[tex][AB] = \left[\begin{array}{ccc}1&4&11\\2&7&18\\\end{array}\right][/tex]

Apply Row operations,  R₂ → R₂-2 R₁

[tex][AB] = \left[\begin{array}{ccc}1&4&11\\0&-1&-4\\\end{array}\right][/tex]  

The matrix form

                   [tex]\left[\begin{array}{ccc}1&4\\0&-1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\-4\\\end{array}\right][/tex]

The equations are

                     x₁ + 4 x₂ = 11 ...(a)

                         - x ₂ = - 4

                            x ₂ = 4

Substitute   x ₂ = 4 in equation (a)

                      x₁ + 4 x₂ = 11

                      x₁ = 11 - 16

                        x₁ = -5

Final answer:-

The solution of the Given matrix

  ( x₁ ,    x ₂ ) = ( - 5 , 4 )

Answer:

well the 6 in 683.5 is in the hundreds, and the 6 in 30.67 is in the tenths so the one in 30.67 is actually smaller than the 6 in 683.5

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

48 is greater then 6×4.2

It's even

It's a multiple of 3

the difference is 4

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex]M=(\frac{8-6}{2},\frac{-2-5}{2})[/tex]

[tex]M=(1,-\frac{7}{2})[/tex]

Hope this helps.

頑張って!

Answer:

n>19

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(g(-3)

g(-3) = 3(-3) = -9 - 5 = -14

f(-14)= -4(-14) - 6 = 56 - 6 = 50

Answer:

Subtract 4y from both sides of the equation.

Answer:

v = -5

Step-by-step explanation:

Step 1: Write out equation

-8 + 5v = -33

Step 2: Add 8 on both sides

-8 + 8 + 5v = -33 + 8

5v = -25

Step 3: Divide both sides by 5

5v/5 = -25/5

v = -5

Answer:

Solve

-8 +5v=-33

So 5v=-33+8

(-8 became 8 because we brought it back to the other side to have the v 《5v》 alone and the numbers alone )

5v= -25

So v=-25/5

We simplify -25/5

v=-5

The general form of a conditional statement is written as "if p, then q" in which p is the hypothesis and q is the conclusion.

Answer:

[-4, 2]

Step-by-step explanation:

the domain is between -4 and 2, but it also includes those numbers, so you get:

[-4, 2]

Answer:

I think u messed ur numbers up

Answer:

y= x-2 /4

Step-by-step explanation:

x=4y+2

4y=x-2

answer:

y= x-2 / 4

Answer:

f(5)=13 g(8)=12 f(-8)= -26 g(-10)=-15

Step-by-step explanation:

1) 5*3=15

15-2=13

2) 8*.5*3=12

3) -8*3=-24

-24-2= -26

4) -10*.5*3= -15

Answer:

f(3)=2

Step-by-step explanation:

To find f(3), we simply need to find the ordered pair at x=3.

From the graph, we can see that the ordered pair at x=3 is (3,2).

Thus, f(3)=2.

And we're done!

Answer:

f(-2) = g(-2)

Step-by-step explanation:

The lines intersect at the point (-2, 4). That means that the solution of the system of equations is (-2, 4). When x = -2, the two functions, f(x) and g(x), have the same value, 4.

That means that f(-2) and g(-2) are equal and are both equal to 4.

Answer: f(-2) = g(-2)

Answer:

[tex]\boxed{3}[/tex]

Step-by-step explanation:

[tex]6\frac{1}{2} /1\frac{3}{4} =\frac{13}{2} /\frac{7}{4}=\frac{13}{2} *\frac{4}{7}=\frac{52}{14} =\frac{26}{7} =3.714[/tex]

Answer:

6 1/2 pies =   26/4 pies and 7/4 are sold per day

It will last

26/4 divided by 7/4 days =

104 / 28 = 26 / 7 = 3.7142857143  days

Step-by-step explanation:

Answer: y=3x-3

Step-by-step explanation:

To find a line that is parallel to the function, we know that the slope must stay the same. Parallel lines NEVER cross. This means the slope MUST be the same. All we have to change is the y-intercept. We can use the given point to find the correct y-intercept.

y=3x+b                                     [plug in (4,9)]

9=3(4)+b                                 [multiply]

9=12+b                                     [subtract both sides by 12]

b=-3    

Now, we know that the y-intercept is -3, we can put together our equation. y=3x-3

Answer:

5

Step-by-step explanation:

Answer :

6. x=28

7.x =6

8. x =9

9. x =9

Step-by-step explanation:

[tex] \frac{x + 2}{10} = 3[/tex]

[tex]x + 2 = 3 \times 10 \\ x + 2 = 30 \\ x = 30 - 2 \\ x = 28[/tex]

6.

(x+2)/10 = 3

Cross multiply

x+2 = 10 ×3

x+2 =30

Collect like terms and simplify

x =30-2

x = 28

7.

[tex]8x + 9 - 5x = 27 \\ 8x - 5x = 27 - 9 \\ 3x = 18[/tex]

[tex] \frac{3x}{3} = \frac{18}{3} \\x = 6[/tex]

8x +9 -5x= 27

Collect like terms and simplify

8x-5x =27-9

3x =18

Divide both sides of the equation by 3

3x/3 = 18/3

x = 6

8.

10x+8=8x+26

Collect like terms

10x-8x=26-8

2x = 18

Divide both sides of the equation by 2

2x/2 = 18/2

x = 9

9.

2(x-5)+4x=x+35

Use 2 to open the bracket

2 × x =2x

2×(-5) =-10

2x-10+4x =x+35

Collect like terms and simplify

2x+4x-x = 35+10

5x = 45

Divide both sides of the equation by 5

5x/5 = 45/5

x =9

Answer:

Hello!

You can compare graphs by looking at their rate of change, and y intercept.

Another way you can compare graphs is that you can see if both graphs' lines intersect. I hope this helps you! :)

Have a nice day! :D

Answer:

The scale factor is 2.2

Step-by-step explanation:

To find the scale factor, you look at the length of any two sides that correspond to each other. For example, in the diagram we can see that the side with the length of 4 on the smaller pentagon corresponds to the side with the length of 8.8 on the larger pentagon.

To find the scale factor, you divide the length of the side of the larger pentagon, by the length of the side of the smaller pentagon.

[tex]\frac{8.8}{4} = 2.2[/tex]

The scale factor is 2.2

Hope this helps!

Answer:

Step-by-step explanation:

Since X and Y are supplementary angles it means that the sum of their angles add up to 180°

To find Y , add X and Y and equate it to 180° and solve

That's

X + Y = 180

Y = 180 - X

X = 72°

Y = 180 - 72

We have the final answer as

Hope this helps you

Hey there! The answer is C. I can help you with more if you need it.

Answer:

probability of randomly selecting an employee who is female and under the age of 25= 0.15

In percentage= 15%

Step-by-step explanation:

There are 300 female employees. There are 80 employees who are under the age of 25

Probabilty of choosing a female employees= 300/400

Probabilty of choosing a female employees= 0.75

Probabilty of choosing an employees under the age of 25

= 80/400

Probabilty of choosing an employees under the age of 25

= 0.2

probability of randomly selecting an employee who is female and under the age of 25= 0.2*0.75

probability of randomly selecting an employee who is female and under the age of 25= 0.15

In percentage= 0.15*100

In percentage= 15%

Hello. This question is incomplete. The full question is:

There is a harvest festival each year on the planet Bozone. During that time, most of the Bozone residents sit down to rejoice and eat roast snig. Past history shows that a reasonable price-demand equation is:

p=300−4x where x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Bozat.  

To sell an additional kilogram of snig, how much does the price need to decrease?   Price needs to decrease by  Bozats.

Answer:

It is necessary to decrease 4 bozats in the price so that an additional 1 kq of snig can be sold.

Step-by-step explanation:

You can achieve this result through a very simple and straightforward calculation.

First it is necessary that you assume the equation (x + 1) for X. This way you will have the mathematical expression:

300-4 (X + 1) = 300-4x-4.