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Anastasy [175]
2 years ago
8

[asy] size(7cm); draw((1.8,0)--(3.2,0),Arrows); draw((2,0.03)--(2,-0.03)); draw((3,0.03)--(3,-0.03)); for(real i=15/7; i<2.9;

i+=1/7){ draw((i,0.02)--(i,-0.02)); }; label("2",(2,-0.02),S); label("3",(3,-0.02),S); label("$\heartsuit$",(16/7,-0.01),S,red); [/asy] What is the simplest fraction whose value is equal to the number $\textcolor{red}{\heartsuit}$ depicted on this number line?
Mathematics
1 answer:
shutvik [7]2 years ago
3 0

Answer:

2 2/7

Step-by-step explanation:

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PLEASE HELP ASAP!!
Alekssandra [29.7K]
I think its D. 32.6 s/ft and appoximatley 0.03 ft/s
8 0
3 years ago
How can you write the equation for a linear function if you know only two ordered pairs for the function?
Vinvika [58]
1. m
2. One set of ordered pairs
3. b

To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).

First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.

This is why #1 is m. M is the letter used when finding slope.

To find m, I plug in the two sets of ordered pairs.

m = (8-0)/(5-1)
m = 8/4
m = 2

An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.

Here, you have just solved for m and know it equals 2. Plug that value in for m.

y = 2x + b

To solve for b, plug one ordered pair in for x and y. I will use (1,0)

0 = 2(1) + b
0 = 2 + b
-2 = b

Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
4 0
3 years ago
Which of the following is the solution to | x | +5&lt; 1?
marissa [1.9K]

C. No Solution

<u>Explanation</u>

<u></u>

The above equation has no solution as the value of x is always mod x which means the value is always positive. Hence to make the equation true, we need value of mod x less than -4 which is not possible. Hence this equation as no solution.

|x| + 5< 1\\|x| + 5 -1 < 0\\|x| +4 < 0\\|x| < -4

Since, |x| can never be < -4 because value of |x| is always greater than or equal to, Hence this equation has no solution.

7 0
2 years ago
Simplify the following expression:<br> 3X(4-1) + (6+21)
Ilya [14]

Answer:

9x+27

Step-by-step explanation:

3x(4−1)+6+21

=9x+6+21

Combine Like Terms

=9x+6+21

=(9x)+(6+21)

=9x+27

3 0
3 years ago
Read 2 more answers
SelectTWO expressions that are equivalent to 8(x + 5y).
JulsSmile [24]

Answer:

The bottom two

8 0
2 years ago
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