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zlopas [31]
3 years ago
15

Simplify by combining like terms 5x+3y+3x

Mathematics
1 answer:
Aliun [14]3 years ago
8 0

Answer:

8x+3y

Step-by-step explanation:

1. Find like terms: 5x and 3x share the same constant "x" so you can combine them. There is nothing to combine with the 3y since there is no other term with the constant "y".

2. Rearrange to make it easier to see: 5x+3x+3y

3. Add the 5x and 3x: 8x+3y

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Function 1: y = 4x + 5
rosijanka [135]

Answer:

Option B is correct

Function 1, because the slope is 4 and the slope of function 2 is 2.

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

y=mx+b

where, m is the slope and b is the y-intercept

As per the statement:

Function 1: y = 4x + 5

On comparing with [1] we have;

Slope of function 1  = 4

Function 2: The line passing through the points (1, 6) and (3, 10).

Using slope formula:

\text{Slope}= \frac{y_2-y_1}{x_2-x_1}

Substitute the given points we have;

\text{Slope}= \frac{10-6}{3-1}

⇒\text{Slope}= \frac{4}{2}

Simplify:

⇒\text{Slope}=2

⇒\text{Slope}= \frac{4}{2}

⇒ Slope of the function 2 is, 2

Since, function 1 is greater rate of change.( i.e 4 > 2)

Therefore,

Function 1  has the greater rate of change,  because the slope is 4 and the slope of function 2 is 2.

3 0
3 years ago
Read 2 more answers
Identify the Quadrant where the point is located.
ValentinkaMS [17]

Answer:

1 ko second quadrant and 2 ko chai fourth quadrant

Step-by-step explanation:

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8 0
2 years ago
When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t
labwork [276]

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval (x_{s}, x_{f}) will be given by the following equation:

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}

In this problem, we have that:

B(t) = 1000(1.02)^{t}

Find the average rate of change in the balance over the interval t = 0 to t = 5.

B(0) = 1000(1.02)^{0} = 1000

B(5) = 1000(1.02)^{5} = 1104.08

Then

S = \frac{1104.08 - 1000}{5-0} = 20.82

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

8 0
3 years ago
LMNP is a rectangle. Find the value of x and the length of each diagonal LN= 4x + 13 and MP=9x - 7​
Volgvan

Answer:

5/3

Step-by-step explanation:

Since the given figure is a rectangle with congruent diagonals and thus equal lengths, you can use the expressions for the diagonal lengths, set them equal, and solve the equation for x.

7 0
2 years ago
Solve for m: (y_1 - y_2) = m(x_1 - x_2)
Mashutka [201]
y_1-y_2=m(x_1-x_2)\\
m=\dfrac{y_1-y_2}{x_1-x_2}
5 0
3 years ago
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