Solve the equation:
3x + 2 = 6x - 7

Answer:

15 mm = 1.5 cm

27 mm = 2.7 cm

48 mm = 4.8 cm

x = one week worked

x = $800

Then, Oleksik will earn $416,000 in 52 weeks (one year).

9514 1404 393

Answer:

Step-by-step explanation:

When you have a lot of the same kind of problem to solve, it makes a certain amount of sense to let a spreadsheet do it. You can enter the formulas once, and then all you need to do is supply the different data for the different problems.

Here, we can put the equations into standard form, then use Cramer's Rule to solve them. For the two equations ...

we can define ...

  D = (ae -db)

Then the values of x and y are ...

  x = (ce -gb)/D

  y = (ag -dc)/D

The attached spreadsheet implements these equations to find the values of x and y.

__

The second equation of the 2nd Question is not given in standard form. To put it into standard form, we need to subtract 4y from both sides:

  x -4y = -5

_____

Additional comment

Many graphing calculators have matrix functions that will solve sets of linear equations, too. For those, you can use the function that puts the coefficient matrix into Reduced Row-Echelon Form. Often that function is named RREF( ), as it is on my TI-84 and HP-48 calculators. The input coefficient matrix will look like ...

  [tex]\left[\begin{array}{ccc}a&b&c\\d&e&g\end{array}\right][/tex]

and the output matrix will look like ...

  [tex]\left[\begin{array}{ccc}1&0&\text{x-value}\\0&1&\text{y-value}\end{array}\right][/tex]

Effectively, the equations are solved by "elimination." If the calculator shows [0 0 0] in the bottom row of output, it means the equations are dependent and there are infinite solutions. If it shows [0 0 1], the equations are inconsistent, and there are no solutions.

Answer:

your answer is correct

Step-by-step explanation:

4b² + 8b + 3

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.

product = 4 × 3 = 12 and sum = + 8

The factors are 2 and 6

Use these factors to split the b- term

4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )

= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term

= (2b + 1)(2b + 3)

Answer:

10 yd, because you subtract 15 to 5.

Answer:

c(x)=2x+300 and $312

Step-by-step explanation:

c(6)=2(6)+300

c(6)=12+300=312

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The diagram is intended to show you that the whole is the sum of the part:

  11 = (10x -1) +(2x)

  11 = 12x -1 . . . . . . . collect terms

  12 = 12x . . . . . . . . add 1 to both sides

  1 = x . . . . . . . . . . . divide both sides by 12

The value of x is 1. The lengths of the segments are 9 and 2.

Answer:

2.85 x 10^4

Step-by-step explanation:

Answer:

C -2

Step-by-step explanation:

it's -2 since lxl = -2 or 2

Answer:

Step-by-step explanation:

y = x(x^2 -5x + 6)      Factor out a common term (GCF)

y = x(x - 2) (x - 3)       Factor the trinomial

     (x - 2) = 0     (x - 3) = 0      x = 0

 Therefore x = 2, 3, or 0

9514 1404 393

Answer:

Step-by-step explanation:

When it comes to angles in a plane, the whole is the sum of the parts.

The little square in the corner of angle BED tells you that is a right angle, so has a measure of 90°. (This is the answer to part 4.) It also tells you that any ray between EB and ED will divide this angle into two complementary angles--angles that have a sum of 90°. There is only one such ray, EC, and it divides angle BED into angles BEC and CED.

1. Angles BEC and CED are adjacent complementary angles.

__

2. The parts of angle AEC are angles AEB and BEC. Angle AEC is the sum of those parts:

  ∠AEC = 49° +34° = 83°

__

3. Angle AED is the sum of angle AEB and right angle BED:

  ∠AED = 49° +90° = 139°

__

4. As we saw above, the marking on the figure tells you ...

  ∠BED = 90°

Answer:

x=7

Step-by-step explanation:

11x+57=15x+29 [Alternate exterior angles]

57-29=15x-11x

28/4=x

7=x

Answer:

Nnnnnnnnnnnnnnn

7x =x

Start by plotting the y-intercept at (0,1).

From that point, count "up 2, right 1" to get a second point on your graph.  

If needed repeat that "up 2, right 1" from that second point to get a third point.

Draw the line that connects these 2 or 3 points.

Answer:

B) 5/12, 1/2, 2/3, 3/4, 5/6

Step-by-step explanation:

You want to get all the fractions to the common denominator, which in this case is 12. once you do this you can easily order them from least to greatest. Here are the fractions with the common denominator.

2/3 = 8/12

1/2 = 6/12

5/6 = 10/12

3/4 = 9/12

Once you have all these with the same denominator, you order them from least to greatest, which gets you the answer (B.)

Answer:

x=6

Step-by-step explanation:

7x+4=4x-2+x+18

2x=12

x=6

Answer: set 2 : O{(-6, -7), (-3, -3), (-2,-8), (-6,4)}

Step-by-step explanation: In order for a set of ordered pairs to be a function, then each input can correspond to only 1 output. In the context of your question, this means there cannot be two ordered pairs which have the same x value. The second set of ordered pairs does not represent a function because the input x = -6 corresponds to two different outputs, y = -7 and y = 4.

Given number is 2.703.

Its a decimal number

Hence three is not the hundredth place holder.

See below

[tex]\\ \sf\longmapsto 3\times \dfrac{1}{1000}[/tex]

Answer:

11

Step-by-step explanation:

Step 1:

Since b = 3, substitute 3 into the expression for b

2(3) + 5

Step 2:

2(3) = 6 so the expression is now 6 + 5

Step 3:

6 + 5 = 11

The ordered pair that satisfy the inequality is (2, 8) and (-6, 0)

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.

Given:

−5x + 3y > 12

a) (3, 9)

−5x + 3y > 12

-5(3) + 3 (9) > 12

-15 + 27 > 12

12>12

b) (-5, 5)

−5x + 3y > 12

-25 + 15 > 12

-10>12

c) (3, -6)

−5x + 3y > 12

-15 -18 > -12

-23> -12

d) (-2, -5)

−5x + 3y > 12

10 - 15 > 12

-5> 12

e) (2, 8)

−5x + 3y > 12

-10 + 24 > 12

14>12

f) (-6, 0)

−5x + 3y > 12

30 + 0 > 12

30>12

Hence, the ordered pair that satisfy the inequality is (2, 8) and (-6, 0)

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ5

Answer:

m < 2 = 104°

Step-by-step explanation:

Given that < 3 is a supplement of < 2, and that m < 3 = 76°, then:

To find the measure of m < 2, all you need to do is subtract the m < 3 from 180°.

m < 2 = 180° - m < 3

m < 2 = 180° - 76°

m < 2 = 104°

Step-by-step explanation:

3 - 4(y + 2) <= 6 + 4(2y + 1)

3 - 4y - 8 <= 6 + 8y + 4

-5 <= 10 + 12y

-15 <= 12y

12y >= -15

y >= -15/12 = -5/4

y >= -5/4

y € [‐5/4, oo)

Answer:

1000

Step-by-step explanation:

Answer:

x= -4.284 and y= 1.432

Step-by-step explanation:

Answer:

divide by 5

Step-by-step explanation:

100/5 20 20/5 4 4/5 0.8 etc

Answer:

75 times

Step-by-step explanation:

9514 1404 393

Answer:

  D. -31m^4n-8m^2

Step-by-step explanation:

Eliminate parentheses by distributing the minus sign. Then collect terms:

  (9mn-19m^4n)-(8m^2+12m^4n+9mn) = 9mn -19m^4n -8m^2 -12m^4n -9mn

  = m^4n(-19 -12) +mn(9 -9) +m^2(-8)

  = -31m^4n -8m^2 . . . . . matches choice D

Answer:

2880

1950

3960

2240

920

5220

4320

3760

6650

1080

32980 is the sum of all combined

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Miss Hawaii

Answer:

1. 2880

2. 1950

3. 3960

4. 2240

5. 920

6. 5220

7. 5760

8. 3760

9. 6650

10. 1080

Answer:

Step-by-step explanation: