Describe the relationship between using the Distributive Property to simplify an expression and to factor an expression. Give an example to justify your answer.

Answer:

slope:3

y intercept:1

equation:y=3x+1

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

1/4 of 72 is 18

72-18=54

Answer:

She would give her friend 54 sweets. I hope this is right, sorry if it's not.

Step-by-step explanation:

1/4 = 0.25

72*0.25 = 18

72 - 18 = 54

Answer:

I think its 3 but im not sure

Step-by-step explanation:

2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x

Answer:

nonstatistical

Step-by-step explanation:

Have a great day and hope this helps

Answer:

statistical

Step-by-step explanation:

i did it

Answer:

y = 3.

Step-by-step explanation:

x + 5y = 7

x = 7 - 5y

Substitute x for 7 - 5y in the second equation.

2 ( 7 - 5y ) + 4y = -4

14 - 10y + 4y = -4

14 - 6y = -4

6y = 14 + 4

6y = 18

y = 3.

Hope this helped!

Answer:

y = 3

Step-by-step explanation:

x + 5y = 7

Subtract 5y from both sides;

x = -5y + 7

Substitute x into the equation;

2x + 4y = -4

2(-5y + 7) + 4y = -4

Distribute;

-10y + 14 + 4y = -4

-6y + 14 = -4

Subtract 14 from both sides;

-6y = -18

Divide both sides by -6

y = 3

Substitute y;

x + 5y = 7

x + 5(3) = 7

x + 15 = 7

Subtract 15 from both sides;

x = -8

A) y intercept is (0,3)

C) Axis of symmetry is x = -1

D) Vertex is (-1, 4)

So basically everything but choice B is true.

========================================

Explanation:

Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.

-------------------

To check choices B through D, let's convert the equation into vertex form.

y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where

a = -1

b = -2

c = 3

The vertex is located at (h,k) such that h = -b/(2a)

Plug the values of 'a' and 'b' into the equation below

h = -b/(2a)

h = -(-2)/(2*(-1))

h = 2/(-2)

h = -1

The x coordinate of the vertex is x = -1

Then use this to find the y coordinate of the vertex

y = -1x^2 - 2x + 3

y = -1(-1)^2 - 2(-1) + 3

y = 4

The y coordinate of the vertex is 4, meaning k = 4

The vertex overall is (h,k) = (-1, 4)

This shows choice D is true, meaning choice B has to be false.

Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.

Answer:

$25.17

Step-by-step explanation:

10 percent of 27.97 is 2.80 so the answer is 25.17

correct if wrong pls

Answer:

y =mx+b that it lolll

Step-by-step explanation:

Answer:

x = - 1, x = 8

Step-by-step explanation:

Given

8 + 7x - x² = 0 ( multiply through by - 1 and arrange into standard form )

x² - 7x - 8 = 0 ← in standard form

(x - 8)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 8 = 0 ⇒ x = 8

Answer:

y = -6x - 2.

Step-by-step explanation:

x - 6y = 12

Gradient = 1/6

since the line is perpendicular to x - 6y = 12

its gradient will be -6.

hence its equation will also be:

y - 4 = -6(x - (-1))

y - 4 = -6x -6

y = -6x -2

[tex]d. \: \frac{hi}{eg} = \frac{ij}{jk} [/tex]

dont forget to follow me

Answer:

false

Step-by-step explanation:

2 · 4 = 8

Answer:

False

Step-by-step explanation:

24 is not equal to 8 therefore it is not true

Answer:

3x+1 > 7

Step-by-step explanation:

x+3 > 5

x > 5-3

x > 2

3(x)+1

= 3(>2)+1

= 3x+1 > 7

Hope this helped!

Answer:

1/40 or .025

Step-by-step explanation:

Just flip the 5 then multiply instead of dividing.

[tex]\frac{1}{8}*\frac{1}{5}[/tex]

You turn 5 into 1/5 by flipping it.

When you multiply them you get.

[tex]\frac{1}{40}[/tex]

or

.025

Hope this helps! Have a blessed day!

Answer: y=17-5x/-9

Step-by-step explanation: 5x-9y=17

-9y=17-5x

Y=17-5x/-9

You can’t go any further than that because you can’t combine unlike Terms on the right side of the equation.

Answer:

DE = 81

Step-by-step explanation:

The sides of a rhombus are congruent , thus

9z = z + 72 ( subtract z from both sides )

8z = 72 ( divide both sides by 8 )

z = 9

Then

BC = 9z = 9 × 9 = 81

Since the sides are congruent, then DE = 81

Answer:

The answer is "False".

Step-by-step explanation:

In this question, I disagree with Joey since the town of Bayugan has been at co-ordinates (0,[tex]-1\frac{1}{2}[/tex]) which would be contradictory to Joey.

Answer:

y = 2/3x + 4

Step-by-step explanation:

Let the equation of the line be y = mx + c

m = (2-8)/(-3-6) = 2/3

sub (6, 8):

8 = 2/3(6) + c

c = 4

the equation if the line is y = 2/3x + 4

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

36

Step-by-step explanation:

Just add the students with doing this: number of studentsxsiblings

Answer:

For number one count all dots and for two start counting from 4 siblings

Step-by-step explanation:

Answer: a. -$12.71

b. $36.93

Step-by-step explanation:

Given data:

No of loss = 31

No of wins = 33

•Had to complete the question first,

Given that the price of the ticket at the beginning of the season = $49.64

the ticket price decrease = $0.41 for every loss

Solution:

a) The cost of the ticket decreases by $0.41 for every game loss.

Change in cost = -$0.41 × number of losses

= -$0.41 × 31

= -$12.71

b) The cost of a ticket for the next game given they have 31 losses is:

Cost of ticket = Initial cost of ticket + change in cost

= $49.64 - $12.71

= $36.93

Answer: e(-2,-2) and G(4,6)

Step-by-step explanation:

Answer:

this is point slope form

Step-by-step explanation:

point slope form is y-y1=m(x-x1)

slope intercept is y=mx+b

standard form is Ax+By=c

Answer:

the difference is seven and the next answer should be 25 because 18+7=25

Answer:

25

Step-by-step explanation:

In order to find the answer to this question you must find the rule that the sequence goes by and then add.

You can see that it adds seven in order for it to reach four and then add's seven again to reach eleven meaning the rule of this sequence is plus seven.

So now just add:

[tex]18+7=25[/tex]

[tex]=25[/tex]

Hope this helps.

Answer:

1. 36

2. 90

3. 9

4. 6

Step-by-step explanation:

Answer:

£2.38

Step-by-step explanation:

2.5 cost £1.40

4.25 cost £ x

so x=(4.25*1.40)/2.5=5.95/2.5=£2.38

Answer:

10,600 cookies will be made in 8 hours

Step-by-step explanation:

1325 × 8 = 10,600

Answer:

Step-by-step explanation:

1. (x - 3)(x + 7) = 0

  By zero product property,

  (x - 3) = 0 ⇒ x = 3

  (x + 7) = 0 ⇒ x = -7

2. (2x + 6)(x - 7) = 0

   2(x + 3)(x - 7) = 0

   By zero product property,

   (x + 3) = 0 ⇒ x = -3

   (x - 7) = 0 ⇒ x = 7

3). (4x - 2)(x + 4) = 0

   2(2x - 1)(x + 4) = 0

   (2x - 1) = 0 ⇒ x = [tex]\frac{1}{2}[/tex]

   (x + 4) = 0 ⇒ x = -4

4. (5x - 1)(3x + 9) = 0

   3(5x - 1)(x + 3) = 0

   By zero product property,

   (5x - 1) = 0 ⇒ x = [tex]\frac{1}{5}[/tex]

   (x + 3) = 0 ⇒ x = -3

5. (x - 8)(x + 2) = 0

   By zero product property,

   (x - 8) = 0 ⇒ x = 8

   (x + 2) = 0 ⇒ x = -2