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viva [34]
1 year ago
11

Which choice is equivalent to the expression shown? 1 2(x + 4) 6 + 3 A) * + (B + 3 2x 5 C + 9 * D دیا | با

Mathematics
1 answer:
Viktor [21]1 year ago
5 0
\begin{gathered} \frac{2(x+4)}{6}+\frac{1}{3} \\ \frac{2x+8}{6}+\frac{1}{3} \\ \frac{2x}{6}+\frac{8}{6}+\frac{1}{3} \\ \frac{x}{3}+\frac{4}{3}+\frac{1}{3} \\ \frac{x}{3}+\frac{5}{3} \end{gathered}

The answer is B.

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Which equation represents a line which is parallel to the line y=8/5x−1?
Murljashka [212]

Answer:

y=8/5x+2

Step-by-step explanation:

if parallel, the slopes should be the same

slope = 8/5

so the equation could be y=8/5x+2, or anything that is moved across the y axis with that slope

8 0
3 years ago
The value of the expression 4 square root of 81^3 is ______.
Paladinen [302]

Answer:

If its written as the fourth root of (81^3) the answer is 27.

6 0
4 years ago
Read 2 more answers
Fifteen is less than or equal to a number minus 10
Levart [38]

Answer:

15 ≤ x - 10

Well, that's how you describe it, and I write it for you.

4 0
3 years ago
How do I solve rate of change problems? (With picture) thanks!
denis-greek [22]

5)

\bf \begin{array}{|cc|cccc|ll} \cline{1-6} sodas&x&\underline{24}&28&\underline{32}&36\\ \cline{1-6} cost&y&\underline{18}&21&\underline{24}&27\\ \cline{1-6} \end{array}~\hspace{9em} (\stackrel{x_1}{24}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{32}~,~\stackrel{y_2}{24}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{24-18}{32-24}\implies \cfrac{6}{8}\implies \cfrac{3}{4}

6)

\bf \begin{array}{|cc|cc|ll} \cline{1-4} year&x&0&12\\ \cline{1-4} \$&y&720&1080\\ \cline{1-4} \end{array}~\hspace{10em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{720})\qquad (\stackrel{x_2}{12}~,~\stackrel{y_2}{1080}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1080-720}{12-0}\implies \cfrac{360}{12}\implies \cfrac{30}{1}\implies 30

7)

slope as you should already know is rise/run, or how much something moves in relation something else, namely how much the y-axis go up as the x-axis moves sideways, one moves, the other follows, but the increments will be different, sometimes the same, but usually different.

the y-intercept means, when the graph of the equation touches or intercepts the y-axis, and when that happens x = 0, or the horizontal distance is at bay.

for the slope on  6), 30 or 30/1 means, for every 1 year(x) passed, the worth(y) increased by 30, or jumped by 30 units, so as the x-axis moved 1, the y-axis moved 30.  After 12 years 30 * 12 = 360, and we add the initial 720 and we end up with 1080.

the y-intercept, well, as aforementioned is when x = 0, is year 0.

6 0
3 years ago
Read 2 more answers
PLS HELP
Colt1911 [192]

Answer:

y = -4x-21

Step-by-step explanation:

Hi there!

We want to write an equation of the line that passes through (-4, -5) and is parallel to y=-4x-1.

Parallel lines have the same slopes. So let's find the slope of y=-4x-1.

The line is written in the form y=mx+b, where m is the slope and b is the y intercept.

As -4 is in the place of where m should be, -4 is the slope of y=-4x-1.

It's also the slope of the line parallel to that line.

Right now, what we know about the line parallel to y=-4x-1 is that the slope of it is 4 and it passes through the point (-4, -5).

We can substitute those values into the formula for point-slope form, which is y-y_1=m(x-x_1), where m is the slope and (x_1, y_1) is a point.

We can label the values of everything to help us avoid confusion.

m=-4

x_1=-4\\y_1=-5

Now substitute those values into the formula. Note: the formula contains SUBTRACTION, and we have NEGATIVE numbers. Hence,

y--5=-4(x--4)

Now simplify.

y+5=-4(x+4)

On the right side, do the distributive property.

y+5=-4x-16

Subtract 5 from both sides.

<u>y=-4x-21</u>

Hope this helps!

6 0
3 years ago
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