Write the equation of the line that is parallel to y = -2x + 4 and passes through (3, 1) in slope-intercept form.​

After removing the parentheses using the distributive property, the expression [tex]2x^4 (6x^2 - 9)[/tex] simplifies to [tex]12x^6 - 18x^4.[/tex]

We have,

To remove the parentheses using the distributive property, we need to multiply each term inside the parentheses by the term outside the parentheses.

Applying the distributive property to the expression [tex]2x^4 (6x^2 - 9),[/tex] we have:

[tex]2x^4 * 6x^2 - 2x^4 * 9[/tex]

Multiplying the terms:

[tex]12x^6 - 18x^4[/tex]

Therefore,

After removing the parentheses using the distributive property, the expression [tex]2x^4 (6x^2 - 9)[/tex] simplifies to [tex]12x^6 - 18x^4.[/tex]

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

5.

Step-by-step explanation:

He simplified incorrectly:

-11.8 + 9.8 = -2,  not -21.6.

Answer:

3.73

Step-by-step explanation:

Hi there!

Recall that slope-intercept form is:

y = mx + b

Where m = slope

In this instance, we are given a slope of 4, therefore:

y = 4x + b

Substitute in the x and y coordinates of the point given:

0 = 4(3) + b

0 = 12 + b

Subtract 12 from both sides:

-12 = b

Therefore, the equation would be:

y = 4x - 12

Graph the equation by finding x and y values or using a calculator:

x = 0, y = 4(0) - 12 = 12            (0, 12)  

x = 1, y = 4(1) - 12 = -8               (1, -8)

x = 2, y = 4(2) - 12 = -4             (2, -4)

x = 3, y = 4(3) - 12 = 0              (3, 0)

And so forth:

To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.

Since, equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (3, 0) and slope 4 will be,

y - 0 = 4(x - 3)

y = 4x - 12

For y-intercept put x = 0 in the equation,

y = 4(0) - 12

y = -12

For x-intercept put y = 0 in the equation,

0 = 4x - 12

x = 3

Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).

              By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.

Learn more,

https://brainly.com/question/18817730

Answer:

(-6,-18) & (2,6) -----------> 3

(12,6) & (-4,-2) -----------> [tex]\frac{1}{2}[/tex]

(5,-19) & (6,-23) ----------> -4

(3,4) & (3,9) ---------------> unidentified

(1,-10) & (2,-15) -----------> -5

(-1,8) & (3,8) ---------------> 0

(0,0) & (21,14) -------------> [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Use this formula to find all of these slopes.

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Answer: I do believe that it is that the smooth shape is the dominate and the wrinkled is the resistive.

Step-by-step explanation:

Answer:

528 miles

Step-by-step explanation:

First, we need to figure out how many miles it drives in 1 hour:

480 divided by 4 = 120

now, we add 12 to 120: 120 + 12 = 132

132 x 4 = 528

hope this helped have a great day/night!! :'')

You did not give 70 points, that was just 35 points

Answer:

it took him 3 hours

Step-by-step explanation:

28 divideed by 4= 7

21divided by 7=3

Answer:

Equation: [tex] y = 14x [/tex].

It would take Martina 37 hours to earn $518

Step-by-step explanation:

✍️An equation that shows a proportional relationship between the time she spends babysitting (x) and amount of money she earns for babysitting (y) can be represented as [tex] y = kx [/tex], where k = constant of proportionality.

Let's find k using any of the pairs given in the table of values. Let's use (1, 14).

Substitute x = 1, and y = 14 into [tex] y = kx [/tex], and find k.

[tex] 14 = k(1) [/tex]

[tex] 14 = k [/tex]

Substitute k = 14 into [tex] y = kx [/tex].

✅The equation would be:

[tex] y = 14x [/tex].

✍️Using the equation, we can find how many hours Martina needs to work in order to earn $518 she wants to use to buy a new phone.

Simply, substitute y = 518 in [tex] y = 14x [/tex].

[tex] 518 = 14x [/tex]

Divide both sides by 14

[tex] \frac{518}{14} = x [/tex]

[tex] 37 = x [/tex]

✅Thus, it will take Martina 37 hours to earn $518

Answer: A . Not all 2 × 2 matrices have an inverse matrix. If the determinant of the matrix is zero, then it will not have an inverse; the matrix is then said to be singular. Only non-singular matrices have inverses.

Step-by-step explanation:

Answer:

Answer is C

Step-by-step explanation:

Answer:

11 (answer c)

Step-by-step explanation:

you need to find LCD and then combine

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{7}{8} \div \frac{1}{8} + {2}^{2} = \\ [/tex]

[tex]( \frac{7}{8} \times 8) + {2}^{2} = \\ [/tex]

[tex]7 + 4 = 11[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

Use of recursion in an algorithm has both advantages and disadvantages. The main advantage is usually the simplicity of instructions. The main disadvantage is that the memory usage of recursive algorithms may grow very quickly, rendering them impractical for larger instances.

Answer:

uses more memory

recursion can be slow

Answer:

Hrmm

Step-by-step explanation:

C is the answer to that question i think

Answer:

b

Step-by-step explanation:

The answer is B because different X values cannot have the same y values. For example in A the x values, -2 and 0, have the same y value 4. That's not possible.

Although C also has a similar problem ALL of the X values have the same y value meaning that the function is an undefined function which is still a type of function. Its basically a function where all the y values are the same.

Answer:

x = 1,6 in   ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in          w  =  8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x )    and    ( w - 2*x )     and   x is the height

( 12  -  2*x )  and  ( w  - 2*x )

V(ob) = (L - 2*x ) * (  - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0     12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10       We dismiss this solution since 2*x  becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x     ;  a =  12 - 3,20  ;  a = 8,8 in

b = 8 - 2*x   ; b = 8 - 3,20  ; b =  4,80  in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max)  =  67,58 in³

How do we Know that is the maximun value for V?

We find  V´´(x)  = 24*x - 80     for  x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has  a local maximun for a value of x = 1,6

Answer:

The answer is b

Step-by-step explanation:

To find the length of the mosaic, we need to use the area divided by width which is 3/4 / 1/3

Answer: 20 :)

Step-by-step explanation:

Answer:

bellnshaped i think

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

I'm pretty sure its 2 hrs. If she did not take any breaks, she would have made it in 2 hrs due to her taking a 2 hr break. If its not 2 hours,  its 3. But I am 99% sure its 2 hrs.    

Answer: a

Step-by-step explanation:

just took test edg2020

The part of the solution of the equation that lies in the solution region of the inequality is x = π/6, the correct option is A.

An Inequality is a statement that is formed when two expressions are joined using an inequality operator.

The equation is

y = tan²x

y = 1

the inequalities are

tan²x < 1   ( 0≤ x ≤ 2π)

The graph of the system of equations and the inequality is plotted, and attached with the answer.

The answer can be seen as  x = π/6.

To know more about Inequality

https://brainly.com/question/20383699

#SPJ5

Answer:

answer is 2

Step-by-step explanation:

Answer:

x^2+3x-4=6

Step-by-step explanation:

first you add the x

Answer:

1) 82

2) 28

3) 18

4) 111

Step-by-step explanation:

1) a two digit number can be written as:

N = b*10 + c*1

where b and c must be single digit numbers

in this case, c is a prime number, and b = 4*c

The prime numbers are:

2, 3, 5...

if c = 2, then:

b = 4*2 = 8

And the two digit number is: 82.

if c = 3, then:

b = 4*3 = 12, and this leads to a 3 digit number.

And for any large value of c, b will not be a single digit number, then the only option here is 82.

2) same as before:

N = b*10 + c

c = b^3.

c ≠ b

Let's give different values for b, and see what happens.

b can not be zero, because that will lead to a single digit number, then we start with one.

b = 1 ----> c = 1^3 = 1 ----> (c = b, then this is not our number)

b = 2 ----> c = 2^3 = 8, then:

N = 2*10 + 8 = 28.

if b = 3 ----> c  = 3^3 = 28 (this is not a single digit number, then any value of b equal or larger than 3 does not work)

The only solution here is 28.

3) Same as before:

N = b*10 + c

c = b^2 + 7.

Same approach as before, let's give different values to b and see which one works:

b = 1 ----> c = 1^2 + 7 = 8

N = 1*10 + 8 = 18.

b = 2 ---> c = 2^2 + 7 = 4 + 7 = 11 (This is a two digit number, then any value of b equal or larger than 2 can be discarded)

The only option here is 18.

4) Now we have:

N = a*100 + b*10 + c.

where:

b = c^2

a = b^2.

Now let's give values to c. (here we can start with zero).

if c = 0 , then: b = 0^2 = 0, then: a = 0^2 = 0.

Then  N = 0*100 + 0*10 + 0 = 0 (this is not a 3 digit number)

if c = 1, then:   b = 1^2 = 1, then: a = 1^2

N = 1*100 + 1*10 + 1 = 111

If c = 2, then: b = 2^2 = 4, then: a= 4^2 = 16  (here a is not a single digit number, then values of c equal or larger than 2 can be discarded)

The only correct option here is 111.

Answer:

9

Step-by-step explanation:

they add up to 90 degrees

Answer: B

Step-by-step explanation:

HAVE A BLESSED DAY!!!!!!

Answer:

3.) 11

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 5

f(3) is x = 3

Step 2: Solve

Answer:

First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x

10.50x + 4.25(16-x) =136.75

10.50x + 68 - 4.25x= 136.75

Then, you subtract 68 from both sides and subtract 4.25x from 10.50x

6.25x=68.75

Divide

X=11 that is how many hours she worked at the FAST FOOD RESTAURANT

Then 16-11 and that gives us how many hours she helped her aunt.

ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt

Step-by-step explanation:

Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.

First, we need to create a model for the work done and how much she earned.

The model is therefore in the form;

$10.50(x) + $4.25(16-x) = $136.75

To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.

Therefore;

x = 11

The number of hours worked by Kara in the restaurant is; 11hours.

The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.

Read more:

https://brainly.com/question/24392720

1).  c

2).  a

3).  a **

4).  d

5).  a

6).  c

** Question #3 has a typo (a typographical error, a misprint, an error, a mistake, a blunder, an oops, an owee) on the question sheet.  The first number of the sequence should be 10,000 instead of 1000 .

1. If a sequence has a common ratio, it is called: C. Geometric Sequence

2. The sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. The common ratio of 10,000, 1,000, 100, 10, 1 is: [tex]\mathbf{A. \frac{1}{10}}[/tex]

4. The sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. The next term of the geometric sequence is: C. [tex]\frac{1}{729}[/tex]

Recall:

1. Therefore, if a sequence has a common ratio, it is called: C. Geometric Sequence

2. Common ratio = next term / previous term

The sequence, -32, 16, -8, 4 has the following common ratio which is not -2:

[tex]\frac{4}{-8} = \frac{-8}{16} = \frac{16}{-32} = -\frac{1}{2}[/tex]

The common ratio is: [tex]-\frac{1}{2}[/tex]

Therefore, the sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. Find the common ratio of: 10,000, 1,000, 100, 10, 1

Common ratio = next term / previous term

Thus:

Common ratio = [tex]\frac{1}{10} = \frac{10}{100} = \frac{100}{1,000} = \frac{1,000}{10,000} = \frac{1}{10}[/tex]

Therefore, the common ratio of 10,000, 1,000, 100, 10, 1 is: [tex]\mathbf{A. \frac{1}{10}}[/tex]

4. An arithmetic sequence is an ordered list whereby the next term is gotten by adding a constant to the previous term.

Simply put, the ordered list of numbers has a difference between each terms.

To find the common difference, subtract the previous term from the next term.

Thus:

-5, 0, 5, 10, 15 would have the following common difference:

0 - (-5) = 5

5 - 0 = 5

10 - 5 = 5

15 - 10 = 5

Also:

4, 1, -2, -5, -8 would have the following common difference:

1 - 4 = -3

-2 - 1 = -3

-5 -(-2) = -3

-8 -(-5) = -3

Therefore, the sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence, 5, -10, 20, -40, is a geometric sequence, that is it has a common ratio as shown below:

Common ratio = [tex]\frac{-40}{20} = \frac{20}{-10} = \frac{-10}{5} = -2[/tex]

The rest of the sequence in the answer choices have a common difference and are arithmetic sequences except 5, -10, 20, -40.

Therefore, the sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. To find the next term in the geometric sequence, [tex]\frac{1}{9}, \frac{1}{27}, \frac{1}{81}, \frac{1}{243}[/tex], find the common ratio.

Then multiply it by the last term to get the next term in the sequence.

Common ratio = Next term / previous term

[tex]= \frac{1}{27} \div \frac{1}{9} \\\\= \frac{1}{27} \times \frac{9}{1} \\\\= \frac{1 \times 9}{27 \times 1}\\\\= \frac{9}{27} \\\\= \frac{1}{3}[/tex]

Multiply [tex]\frac{1}{3}[/tex] by [tex]\frac{1}{243}[/tex] to get the next term:

[tex]\frac{1}{243} \times \frac{1}{3} = \frac{1 \times 1}{243 \times 3} \\\\= \frac{1}{729}[/tex]

Therefore, the next term of the geometric sequence is: C. [tex]\frac{1}{729}[/tex]

In summary,

1. If a sequence has a common ratio, it is called: C. Geometric Sequence

2. The sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. The common ratio of 10,000, 1,000, 100, 10, 1 is: [tex]\mathbf{A. \frac{1}{10}}[/tex]

4. The sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. The next term of the geometric sequence is: C. [tex]\frac{1}{729}[/tex]

Learn more about sequence here:

https://brainly.com/question/12474324