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lakkis [162]
3 years ago
15

Multiply (6x-6)(x+6)

Mathematics
2 answers:
Damm [24]3 years ago
4 0

Hey there!

(6x + (-6)) (x +6)  \\ \\  6x(x) + 6x(6) + (-6) (x) + -6 (6)  \\ \\ 6x(x) = 6x^2 \\ \\ 6x(6) = 36x \\ \\ -6(6) = -36 \\ \\ 6x^2 + 36x - 6x -36 \\ \\  36x - 6x = 30x \\ \\ Answer: 6x^2 + 30x -36

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Blizzard [7]3 years ago
3 0

FOIL method : F = First , O = Outer , I = Inner, L = Last

(6x-6)(x+6)

First: 6x * x = 6x^2

Outer: 6x * 6 = 36x

Inner: -6 * x = -6x

Last: -6 *6 = -36

Put these in order and we get : 6x^2 + 36x -6x -36

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The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are
Mamont248 [21]

The correct statements about the scenario are;

  • The function is an arithmetic sequence
  • The number 2 is the number of tables added when t increases by 1.
  • The number 4 represents the number of people that can be seated at an event if only 1 table is available.

According to the function given;

  • p(t)=4+2(t−1)

Evidently, the function, p(t) represents the number of people that can sit when t tables are available.

  • T(n) = a + d(n -1)

In essence, the function resembles that of a general arithmetic progression with first term, a = 4.

The common difference, d = 2.

The statements which are correct are therefore as listed above.

Read more:

brainly.com/question/23827460

5 0
3 years ago
Before you can make a pie chart you need to figure out how much of the circle belongs to each category. Suppose that you earned
svetoff [14.1K]

Answer:

missions-24

recreation-108

savings-144

school supplies-48

tithe-36

Step-by-step explanation:

so first convert all the given costs to cents by multiplying each amount with 100 then add all of them to get the total as 600

in a pie chart we know that it's a circle and all angles within the circle must add up to 360 so to get an angle for a certain cost that will represent it in the chart you have to take that cost over the total to get the fraction of the circle it will occupy multiplied by 360 to get it in degrees or which portion of 360 will it occupy hence

60/600×360=36

4 0
4 years ago
This question has three parts. Answer the parts in order.
nalin [4]

Answer:

The area of the smallest section is A_{1}=100yd^{2}

The area of the largest section is A_{2}=625yd^{2}

The area of the remaining section is A_{3}=250yd^{2}

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

A_{1}=10yd*10yd

A_{1}=100yd^{2}

- Area of the second section:

A_{2}=x^{2} (Eq.1)

- Area of the third section:

A_{3}=width*length

A_{3}=10yd*x (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

A_{1}+A_{2}+A_{3}=975yd^{2}

Replacing values:

100+x^{2}+10x=975

Solving for x:

x^{2}+10x-875=0

x=\frac{-10+\sqrt{100+(4*875)}}{2}

x=\frac{-10+\sqrt{3600}}{2}

x=\frac{-10+60}{2}

x=25

3. Replacing the value of x in Eq.1 and Eq.2:

- From Eq.1:

A_{2}=25^{2}

A_{2}=625yd^{2}

- From Eq.2:

A_{3}=10*25

A_{3}=250yd^{2}

3 0
3 years ago
Please please please help me with this...
dlinn [17]

Answer:

It's option d.

Step-by-step explanation:

The line y = x + 2 has domain x < 2 (because of the clear circle.)

The lines y = x + 1 has domain x ≥ 2. ( because of the filled circle).

7 0
3 years ago
The length of one side of a regular pentagon is 18.3 cm. What is the perimeter of this pentagon? 
Ket [755]
91.5 is the perimeter. It's just 5a.
3 0
4 years ago
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