Consider the system of equation
2x+3y=8
2x+6y=12
what could be the first step in solving the system of equations using elimination

a. Multiply the first equation by -1
b. Add 4 to both sides of the first equation
c. Add the two equations
d. Multiply the second equation by 2

Answer:

-2b(a) - a^2 -2b^2

Step-by-step explanation:

Just use the 'foil' method, meaning that you multiply the first number of one part (a), to the first and second to the next part (2b, -a)

Then, multiply the second number of that part (-b), to the first and to the next part (2b, -a)

You would get: -2b(a) - a^2 -2b^2

Multiplication is the process of multiplying. The multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. The multiplication of the two given expressions (a-b) and (2b-a) can be done as shown below,

(a-b) × (2b-a)

= a(2b-a) -b(2b-a)

= (a × 2b) - (a × a) - (b × 2b) + (b × a)

= 2ab - a² - 2b² + ab

=  -a² -2b² + 3ab

= 3ab -a² -2b²

Hence, the multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Answer:

The car's acceleration was 3.73 metre per second square = 3.73m/s²

Step-by-step explanation:

The car accelerated from rest.

initial velocity (u) = 0m/s

final velocity (v) = 25miles/hr = 11.2m/s

time (t) = 3s

a = ?

v = u+at

a = (v-u)/t

a = (11.2 - 0) / 3

a = 11.2/3

a = 3.73

a = 3.73m/s²

a

Answer:

-32

Step-by-step explanation:

Answer:

F.

Step-by-step explanation:

Everything has to be less than 4 which leaves us with C and F, but Fs dot is shaded in which means it is less than or equal to but it is only less than so it is F.

Answer:

F

Step-by-step explanation:

If you look x is less than 4 meaning that all values are lower than 4. We also know that 4 is not included due to the fact that the less than symbol doesn't have a line under it. F is the only line that meets all of the criteria.

Answer:

14.42

Step-by-step explanation:

17.00 x .80  20% off means price is 80% (or .80) of price

=13.6

13.6 x .06 = .82 sales tax

13.60 + .82 = 14.42 sales price plus sales tax

Answer: $15

Step-by-step explanation:

Jasmine needs 300 centimeters

$5 each meter

The first step you need to do is convert 300 centimeters to meters, because it’s $5 for each meter.

(You can use the King Henry Chart to help you)

So, 1 centimeter is 1/100 meter

How much is 300 centimeters in meters?

300x1/100

= 300/100

=3

300 cm= 3m

Now, there is $5 for each meter.

How much does it cost for 3 meters?

= 5x3

= $15

It will cost her $15

Answer:

3 and 5/12

Step-by-step explanation:

[tex]4 \frac{3}{4} = \frac{19}{4}\\ \\1\frac{1}{3} = \frac{4}{3}[/tex]

[tex]\frac{19}{4} - \frac{4}{3} \\\\\frac{19(3) - 4(4)}{12} \\\\\frac{57 - 16}{12} \\\\\frac{41}{12} \\[/tex]

This fraction is equivalent to,

[tex]3 and 5/12 = 3\frac{5}{12} = \frac{12*3 + 5}{12} = \frac{41}{12}[/tex]

Answer:

3 grey and 1 red

Step-by-step explanation:

5 x 3 = 15

15 + 7 = 22

Answer:

20-24

Step-by-step explanation:

you can see that when you find the middle of the total data the data set left is in the 20-24 category

hope this helps! :)

Answer:

6.69 cm

Step-by-step explanation:

Given data

Diameter= 12cm

Radius= 6cm

Volume= 757.36cm^3

The expression for the volume of a cylinder is

V= πr^2h

Substitute

757.36= 3.142*6^2*h

757.36=113.112h

h= 757.36/113.112

h= 6.69 cm

Answer:

x=0.03623188

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

(sorry if wrong please dont report)

Answer:

min f(x) = 3.95  (for x= 2.5)

Step-by-step explanation:

vertex (x) = 1/0,4 = 2,5

vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95

Answer:

0.125

green

Step-by-step explanation:

Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125

Answer: 0.25

Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25

Answer:

9,6 good luck with the answer

answer: (9,0). bc moving down is in the y axis. subtract 3 from (9,3) and it equals (9,0)

Answer:

1. (3,-1)

2. Right

3. 3

4. 6

5. (6,-1)

6. x=0

Explanation: Took the test

Answer:

Step-by-step explanation:

Answer:

n = -1 , 3.5

Step-by-step explanation:

Move the terms to the left side and set equal to zero. Then set each factor equal to 0

Answer:

$57

Step-by-step explanation:

→ Do 20% of $80

( 20 × 80 ) ÷ 100 = 16

→ Add 5 to the previous answer

5 + 16 = 21

→ Add 2 to 21

2 + 21 = 23

→ Minus 23 from the total price

80 - 23 = $57

Answer:

what r u even saying

Step-by-step explanation:

Answer:

410

Step-by-step explanation:

Every sequence 102 gets added

'

Answer:

down here :)

Step-by-step explanation:

Digits: Go to the last E in Greek alphabet, and go down three spaces. The word runs diagonally into the top right corner.

Fraction: Go one above the N in Repeating. runds up diagonally into the top left corner.

Answer:

1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]

2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]

Step-by-step explanation:

Answer:

its 36 can you give me brainlyyy pleaasee

Answer:

36

Step-by-step explanation:

18 goes into 9 but not 12.

24 goes into 12 but not 9.

36 goes into 9 also into 12.

48 goes into 12 but not 9.

Hope this helps!

Answer:

you have to round down because if you round up she wouldn't have enough money. And you can't buy half a book.

Step-by-step explanation:

Answer: 70

Step-by-step explanation:

do 21*3 which would be 90% but the actual number would be 63. but there is still 10% left and you are given and number for 30% so divide 21 by 3 which you get 7 so 63+7=70

Answer:

y<_19x-11

Step-by-step explanation:

<_ it means less than and equal too hope it helps

Answer:

The second option 5x.

Step-by-step explanation:

Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)

Answer:

[tex]162\sqrt{3}[/tex]

Step-by-step explanation:

The equation for finding the area of a hexagon with a side length is

[tex](s^23\sqrt{3} )/2[/tex]

insert [tex]6\sqrt{3}[/tex]

and you are left with 162\sqrt{3}

Hope that helps :)

Answer:

[tex] \displaystyle E)\: 162 \sqrt{3} [/tex]

Step-by-step explanation:

we are given a side a polygon

and said to figure out the area

recall the formula of regular polygon

[tex] \displaystyle \: \frac{ {na}^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{n} \right) [/tex]

where a represents the length of a side

and n represents the number of sides

the given shape has 6 sides

and has a length of [tex]\displaystyle 6\sqrt{3}[/tex]

so our n is 6 and a is 6√3

substitute the value of n and a:

[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{6} \right) [/tex]

reduce fraction:

[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ { \cancel{180}^{ \circ}} ^{ {30}^{ \circ} } }{ \cancel{6 \: } } \right) [/tex]

[tex] \displaystyle \: \frac{6 \cdot \: (6 \sqrt{ {3} } {)}^{2} }{4} \cot( {30}^{ \circ} ) [/tex]

simplify square:

[tex] \displaystyle \: \frac{6 \cdot \: 36 \cdot \: 3 }{4} \cot( {30}^{ \circ} ) [/tex]

reduce fraction:

[tex] \displaystyle \: \frac{6 \cdot \: \cancel{36} \: ^{9} \cdot \: 3 }{ \cancel{ 4 \: } } \cot( {30}^{ \circ} ) [/tex]

[tex] \displaystyle \: 6 \cdot \: 9 \cdot \: 3 \cot( {30}^{ \circ} ) [/tex]

simplify multiplication:

[tex] \displaystyle \: 162\cot( {30}^{ \circ} ) [/tex]

recall unit circle:

[tex] \displaystyle \: 162 \sqrt{3} [/tex]

hence, our answer is E

Answer:

0≤x≤169/9

Step-by-step explanation: