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3 years ago

How many solutions can be found for the equation 5x + 3(x − 1) = 10x − x − 5? (4 points)

Mathematics

1 answer:

Svet_ta [14]3 years ago

8 0

Answer:

The correct option is b.

Step-by-step explanation:

To find the number of solutions, we need to solve the equation:

$5x + 3(x - 1) = 10x - x - 5$

Let's group all the "x" on the equation.

$5x + 3x - 10x + x = 3 - 5$

Now, let's solve for "x".

$-x = -2$

$x = 2$

Therefore, the equation has one solution. The correct option is b.

I hope it helps you!

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George bought 7 quarts of cleaning fluid: x quarts at $3.00 per quart & y quarts at $2.00 per quart. Find x & y if the t

PolarNik [594]

Answer:

3x + 2y = 16

x = 2 , y = 5

Step-by-step explanation:

Given that George bought x quarts at $3.00 per quart & y quarts at $2.00 per quart and he bought 7 quarts for $16.00

Considering the total cost

3x + 2y = 16

For the cost of each

x + y = 7

solving the 2 equations simultaneously be substitution

x = 7 - y

3(7 - y) + 2y = 16

21 - 3y + 2y = 16

-3y + 2y = 16 - 21

-y = - 5

Divide both sides by -1

y = 5

x = 7 -y

x = 7 - 5

= 2

7 0

3 years ago

What is this in vertex form

Lyrx [107]

Answer:

(x + 1)² + 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a (x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

to obtain this form use the method of completing the square

• add/subtract (half the coefficient of the x-term)² to x² + 2x

= x² + 2(1)x + 1 - 1 + 5

= (x + 1)² + 4 ← the second option

3 0

3 years ago

What is the inverse of f(x)=(4x-3)/7

iragen [17]

Answer:

f(x)^-1 = $\frac{1}{28} x + \frac{3}{4}$

Step-by-step explanation:

f(x) = (4x - 3) / 7

y = (4x - 3) / 7

x = (4y - 3) / 7

x / 7 = 4y - 3

x/7 + 3 = 4y

y = $\frac{1}{28} x + \frac{3}{4}$

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2 years ago

What is the total perimeter of the three tiles? If each square tile is measures 8 inches on the side?

makvit [3.9K]

I would say 64 if they are in a straight line since both sides have 6x8 and 2x8 you can add those to get 8x8=64

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3 years ago

Write a mixed number that is equivalent to 16/3

Papessa [141]

Hello there!

We would practically divide both 16 and 3.We would want to find out how many 3's go into 16.

Let's see. 3+3=6+3=9+3=12+3=15

There are five 3's.

This would help us and understand that 5 is our main big number.

We have 1 left. We would divide this by 3, and your result would be . . .

$\boxed{\bf{ 5\frac{1}{3} }}$

I hope this helps you!

4 0

3 years ago