- 4x + 9y = 9
-8x + 10y = 10

Answers

Answer 1
Answer:

Answer:

y = 1, x = 0

Step-by-step explanation:

multiply -4x +9y = 9 by -2 to get 8x -18y = -18

combine the two equations to get -8y = -8

divide both sides by -8 to get y = 1

plug in 1 as the y into one of the equations and solve to get x = 0

Answer 2
Answer:

Answer:

(0,1)

x = 0

y = 1

Step-by-step explanation:

(-4x + 9y = 9)-8

(-8x + 10y = 10)4

32x - 72y = -72

-32x + 40y = 40

-32y = -32

y= -32/-32

y=1

-4x + 9(1) = 9

-4x + 9 = 9

-4x = -9 + 9

-4x = 0

x = 0/-4

x = 0


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Find the difference 9/11-5/12

Answers

First we need to find a common denominator.  For this one, the easiest way to do that is multiply 11 x 12 = 132

now convert the numerator

9x12 = 108
5x11 = 55

108/132 - 55/132 =

now just subtract the numerators

108/132 - 55/132 = 53/132

Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?2x2(6x – 1) + 3(6x – 1)
2x2(6x – 1) – 3(6x – 1)
6x(2x2 – 3) – 1(2x2 – 3)
6x(2x2 + 3) + 1(2x2 + 3)

Answers

Hello,
Answer A

12x^3-2x²+18x-3
=2x²(6x-1)+3(6x-1)
=(6x-1)(2x²+3)

The factorization of  the given expression by grouping yields(6x-1)(2x²+3).

What is factorization?

Factorization is a way in which the common factors of the terms in an  algebraic expression are found. We have the expression 12x^3-2x²+18x-3 in which are to factorize by grouping.

In order to carry out this factorization by grouping we have to perform the following steps;

  • Identify common factors which are 2x^2 and 3
  • Apply the common factors to two groups of the portions of the expression as shown;

12x^3-2x²+18x-3

2x²(6x-1)+3(6x-1)

(6x-1)(2x²+3)

Learn more about factorization: brainly.com/question/6810544

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?A) −5x − 7 < −22 and −5x − 7 ≥ −3
B) −5x − 7 > −22 and −5x − 7 ≥ −3
C) −5x > −22 and −7 ≥ −3
D) −5x − 7 < −22 and −5x − 7 ≤ −3

Answers

The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 are A) −5x − 7 < −22 and −5x − 7 ≥ −3

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Then a Set of such values is called solution set to the considered equation or inequality.

The equivalent form of the given inequality can be obtained by dividing the inequality into two parts.

In this case, we are given -22 > -5x - 7 > -3.

The two parts are; -22 > -5x - 7 and -5x - 7 > -3.

Since the −5x − 7 and −22 have interchanged sides, the inequality sign also changes direction.

For part two, we have  −5x − 7 ≥ −3 remains unchanged.

Therefore, The choice that reflects these parts is A)-5x - 7 < -22 and -5x - 7 -3

Hence, The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 are A) −5x − 7 < −22 and −5x − 7 ≥ −3

Learn more about inequalities here:

brainly.com/question/27425770

#SPJ2

A) −5x − 7 < −22 and −5x − 7 ≥ −3

Working;
Since the 
−5x − 7 and −22 have interchanged sides, the inequality sign also changes direction.

For part two,  −5x − 7 ≥ −3 remains unchanged.

five decimals that have at least 3 digits to the right of the decimal point. write the expanded form of the word form for each number

Answers

1. Decimal Form: 1.567
    Word Form: One and five hundred sixty seven thousandths
    Expanded Form: 1+0.5+0.06+0.007

2.  Decimal Form: 2.329
     Word Form: Two and three hundred twenty nine thousandths
     Expanded Form: 2+0.3+0.02+0.009

3. Decimal Form: 3.486
    Word Form: Three and four hundred eighty six thousandths
    Expanded Form: 3+0.4+0.08+0.006

4.  Decimal Form: 4.351
     Word Form: Four and three hundred fifty one thousandths
     Expanded Form: 4+0.3+0.05+0.001

5. Decimal Form: 5.768
    Word Form: Five and seven hundred sixty eight thousandths
    Expanded Form: 5+0.7+0.06+0.008

Hope I helped !!! :-)

Increase 48m by 20%? Help Please I'm Useless At Math<3

Answers

We have 48 meters.
We need to increase it by 20%.
That means we have 48 and then we increase it by 20%.

That can be expressed as:
48 + (48 * 20%)

Now, another way to write that would be:

48 * 120%

Now, 120% is nothing but 120/100. This can even be simplified to 1.2.

48 * 120%
= 48 * 1.2
= 57.6

48m increased by 20% is 57.6m.
You multiply 48m with 20% and add that to 48m.
20% can be written as 20/100.

48m*(20)/(100)+48m

(48m*20)/(100)+48m

(960m)/(100)+48m

9.6m+48m

{\boxed{57.6m}

If x = 2, find the value of 3x^3 - 3x - 2.

Answers

Answer:

16

Step-by-step explanation:

3x^3-3x-2

x=2

3(2)^3-3(2)-2

3×8-6-2

24-6-2

16

Hope it helps.

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