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3 years ago

What is 8y – 3z + 2 + 10y + 5z – 2 simplified?

Mathematics

2 answers:

klemol [59]3 years ago

6 0

Answer:

Step-by-step explanation:

Solving like terms

18y + 2z

netineya [11]3 years ago

5 0

Answer:

18y + 2z

Step-by-step explanation:

So first things is first, arrange all terms with the same degree.

8y + 10y - 3z + 5z + 2 - 2

Next combine like terms for everything

8y + 10y = 18y cuz 8 + 10 is 18.

-3z + 5z = 2z cuz -3 + 5 = 2

2 - 2 = 0 cuz that's a rule in math.

So the final answer is 18y + 2z.

You don't have a whole number cuz it is 0. You can put it there if you want as well.

18y + 2z + 0

You might be interested in

Write your answer in scientific notation. (3.2 x 10^-2) + (3.2 x 10^-4) + (2.8 x 10^-2)

mars1129 [50]

3.2 x 10^-2 + 3.2 x 10^-4 + 2.8 x 10^-2
= 3.2 + 2.8
= 6 x 10^-2 + 3.2 x 10^-4
Convert 3.2 into fraction which is 16/5
And express with a positive exponent using “a^-n = 1/a^n” therefore
= 6 x 10^-2 + 16/5 x 1/10^4
= 6 x 1/10^2 + 16/5 x 10^4
= 6 x 1/100 + 16/5 x 10,000
Reduce 6 and 100 with the GCF ‘2’
Then reduce 16 and 10,000 with 16
= 3 x 1/50 + 1/5 x 625
Multiply
= 3/50 + 1/3125
Then add
The answer is
= 377/6250
= 0.06032

3 0

3 years ago

Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1).<br> Yeah

SashulF [63]

Answer:

The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

$y = x + 3$

The graph of both the parallel equation is shown below to make you further understand the concept.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

$m$ is the slope

$b$ is the y-intercept

Given the equation

$y = x - 3$

comparing with the slope-intercept form of the line equation

Slope m = 1

<u>Important Tip:</u>

As the parallel lines never intersect, therefore, they have the same slopes.

Thus, the slope of the parallel line is also 1.

As the parallel line contains the point (-2, 1).

so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line

$y = mx+b$

$1 = 1(-2) + b$ ∵ (x, y) = (-2, 1) and m = 1

$1 = -2 + b$

switch sides

$-2+b = 1$

add 2 to both sides

$-2 + b + 2 = 1 + 2$

simplify

$b = 3$

Thus, the y-intercept b of the parallel line is: b = 3

now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the equation of the parallel line

$y = mx + b$

$y = (1)x + 3$

$y = x + 3$

Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

$y = x + 3$

The graph of both the parallel equation is shown below to make you further understand the concept.

From the graph:

The green line represents the equation y = x - 3

The black line represents the parallel equation y = x + 3

It is clear that both lines are parallel.

6 0

3 years ago

Grace made tables of values to solve a system of equations. First, she found that the x-value of the solution was between 0 and

liraira [26]

Answer: C

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Which of the following graphs dont belong and why?

ahrayia [7]

Answer:

Upper Right

Step-by-step explanation:

All of them have different dips, therefore the one facing in a different direction must be the odd one out.

5 0

3 years ago

Read 2 more answers

Judah collects toy cars.He buys his cars in packs of 12,18 and 24.He wants to arrange them in rows but all the rows have to be a

polet [3.4K]

For this case what we can do first is to take an average of the number of cars.
We have then:
P = (12 + 18 + 24) / (3)
P = 18
In other words, you can organize your cars in rows of 3 where each row will have 18 cars.
Answer:
three rows, 18 cars per row.

4 0

3 years ago