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vivado [14]
3 years ago
13

Solve the equation for m. Show your work -40 - 6m + 1 = - 2

Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

Answer:

\bold{m \ = \ \frac{-37}{6} \ Or  \ -6.16666666667}

Explanation:

-40 - 6m + 1 = - 2

  • Simplify Both Sides Of The Equation

−40 − 6m + 1 = −2

−40 + −6m + 1 = −2

(−6m) + (−40 + 1) = −2 (Combine Like Terms)

−6m + −39 = −2

= −6m − 39 = −2

  • Add 39 To Both Sides

−6m − 39 + 39 = −2 + 39

−6m = 37

  • Divide Both Sides By -6

-6m / -6 = 37 / -6

  • Simplify

\bold{m \ = \ \frac{-37}{6} \ Or  \ -6.16666666667}

- PNW

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(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials
Anika [276]

Answer:

2x + 1

Step-by-step explanation:

\frac{(2x² - 5x-3)}{(x - 3)}

Factor out 2x² - 5x-3

\frac{(2x + 1)(x - 3)}{x - 3}

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

1

:

Equation at the end of step 1

STEP

2

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2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0
2 years ago
the diameter of the sweep of the main rotor of the eh101 helicopter is 18.6 meters. A toy model of it has a sweep of 31 centimet
Aliun [14]

Answer:

The actual length of 60 cm is modeled as 1 cm length.

Step-by-step explanation:

The diameter of the sweep of the main rotor of the helicopter is 18.6 meters i.e. 1860 cm.

Now, the toy model of the helicopter has a sweep of 31 cm.

Therefore, the scale in which the model is made is 1860 : 31 i.e. 60 : 1 ratio.

So, the actual length of 60 cm is modeled as 1 cm length. (Answer)

4 0
3 years ago
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The sides of a triangle are in the ratio of 1:2:2 and the perimeter of the triangle is 15 feet. The length of the shortest side
Nataly_w [17]
Attached the solution and work.

5 0
3 years ago
The local water slides have 100 employees, of which 30% are temporary. How many temporary employees are there?
Ugo [173]

Answer:

There are 30 temporary employees

Step-by-step explanation:

<em>To find </em><em>x% of quantity A</em><em>, multiply x% by A after change x% to the normal number by divide it by 100 ⇒ </em><em>(x ÷ 100) × A</em>

Let us use this rule to solve the question

∵ The local water slides have 100 employees

∵ 30% of them are temporary

∴ The number of temporary employees = 30% × 100

∵ 30% = 30 ÷ 100 = 0.30

∴ The number of temporary employees = 0.30 × 100

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3 years ago
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Sladkaya [172]

Answer:

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Step-by-step explanation:

Evaluate (2x−1)−7, then set it equal to 2.

Subtract 7 from −1 = 2x−8

Solve 2x−8=2.

Move all terms not containing x to the right side of the equation.

Add 8 to both sides of the equation=2x=2+8

Add 2 and 8=2x=10

Divide each term by 2 and simplify.

Divide each term in 2x=10 by 2=2x/2=10/2

Cancel the common factor of 2

Cancel the common factor=10/2

Divide x by 1=x=10/2

Divide 10 by 2=x=5

Remove parentheses=x−3

List all of the solutions.

5=

(2x−1)−7=2=x=5

x−3=x−3

7 0
3 years ago
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