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2 years ago

Solve 3x-2/4 - 2x-5/3 = 1+x/6

Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

5 0

Answer:

x = 3.8

hope it's helpful ❤❤❤

THANK YOU.

Ksenya-84 [330]2 years ago

3 0

Answer:

x = 12

Step-by-step explanation:

Given

$\frac{3x-2}{4}$ - $\frac{2x-5}{3}$ = $\frac{1+x}{6}$

Multiply through by 12 ( the LCM of 4, 3, 6 ) to clear the fractions

3(3x - 2) - 4(2x - 5) = 2(1 + x) ← distribute parenthesis

9x - 6 - 8x + 20 = 2 + 2x

x + 14 = 2 + 2x ( subtract x from both sides )

14 = 2 + x ( subtract 2 from both sides )

12 = x

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Please help asap! really important!!

Alexxandr [17]

Answer:

4th graph

6th graph

3rd graph

Step-by-step explanation:

Linear = y = x + 3

it is 4th graph

when you substitute x = 0 y is 3

and when y = 0 x is -3

Quadratic = y = 3x^2

It is 6th graph

for both positive and negative values of x, y is rapidly increasing

Exponential = y = 3^x

it is 3rd graph

for x = 0 y value is 1 because 3^0 = 1

for positive values of x, y is exponentially rising

for negative values of x it is nearly almost touches zero

6 0

2 years ago

Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combination value of $8.85. How many of each

stepan [7]

Answer: he has 32 quarters and 17 nickels.

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of quarters that he has in her wallet.

Let y represent the number of nickels that she has in her wallet.

He has 49 coins total. This means that

x + y = 49

the total value of the coins is $8.85. This means that

0.25x + 0.05y = 8.85 - - - - - - - - - - 1

Substituting x = 49 - y into equation 1, it becomes

0.25(49 - y) + 0.05y = 8.85

12.25 - 0.25y + 0.05y = 8.85

- 0.25y + 0.05y = 8.85 - 12.25

0.2y = 3.4

y = 3.4/0.2

y = 17

x = 49 - y = 49 - 17

x = 32

7 0

3 years ago

Factor 9y2 - 12y + 4. (3 y - 2)(3 y + 2) (3 y - 4)( y + 1) (3 y - 2) 2

lozanna [386]

Answer:

(y - 2)²

Step-by-step explanation:

9y² - 12y + 4 ← is a perfect square of the form

(ax - b)² = a²x² - 2abx + b²

Compare like terms with 9y² - 12y + 4, thus

a² = 9 ⇒ a = 3

b² = 4 ⇒ b = 2 and

- 2ab = - 2 × 3 × 2 = - 12

Thus

9y² - 12y + 4 = (3y - 2)²

8 0

3 years ago

7. On a map of a local community college, the cafeteria is located at point (-4,3) and the

marishachu [46]

Answer: C. 10.2

Step-by-step explanation: because in decimal form 10.19803902 to the nearest is 10.2

7 0

3 years ago

Read 2 more answers

Selena was comparing the flying speeds of different birds in science class. Which of the three birds flies fastest? Why?

Mashcka [7]

Answer:

Option C. The robin flies fastest because its rate is 15 m/s

Step-by-step explanation:

Let

x -----> the time in seconds

y ----> the distance in meters

The speed is equal to divide the distance by the time

In this problem, the slope or unit rate of the linear equation is the same that the speed

Robin's Flight

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the table

(2,30) and (3,45)

substitute in the formula

$m=\frac{45-30}{3-2}$

$m=\frac{15}{1}$

$m=15\frac{m}{sec}$

Cardinal's Flight

$y=10x$

$m=10\frac{m}{sec}$

Blue Jay's Flight

take two points from the graph

(0,0) and (2,20)

substitute in the formula

$m=\frac{20-0}{2-0}$

$m=\frac{20}{2}$

$m=10\frac{m}{sec}$

Compare

The robin flies fastest because its rate is 15 m/s

4 0

3 years ago