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Shtirlitz [24]
3 years ago
14

Solve 1/3x - 2/7x > 1/3

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer: x > 7

    Step-by-step explanation:

Given:

\displaystyle \frac{1}{3}x- \frac{2}{7}x > \frac{1}{3}

Subtract:

\displaystyle \frac{1}{21}x > \frac{1}{3}

Divide both sides of the equation by \frac{1}{21}:

\displaystyle x > 7

    <u>What does this mean?</u>

This means the x is equal to all values greater than 7.

-> 7.432421, 7.5, 8, 250, etc

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What is the slope of the line that passes through the points (4.2) and (-16, -10)?
sergij07 [2.7K]

Given:

A line passes through the points (4,2) and (-16, -10).

To find:

The slope of the line.

Solution:

Slope Formula:

m=\dfrac{y_2-y_1}{x_2-x_1}

A line passes through the points (4,2) and (-16, -10). So, slope of the line is

m=\dfrac{-10-2}{-16-4}

m=\dfrac{-12}{-20}

m=\dfrac{3}{5}

Therefore, the slope of the line is \dfrac{3}{5}.

8 0
4 years ago
Find the difference.
KatRina [158]

Answer:

531 feet

Step-by-step explanation:

Given that,

A climber starts descending from 511 feet above sea level and keeps going until she reaches 20 feet  below sea level.

We need to find the distance she descended.

The climber descends 511 feet to reach sea level. The climber then descends an additional 20 feet to reach 20feet below sea level. So the climber descends:

511 ft + 20 ft = 531 ft

So, she descended 531 feet.

4 0
3 years ago
Convert 4.5 yards to inches
maw [93]

Answer:

162in

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The graph of g(x) is shown below:
pshichka [43]

Answer:

1)

Horizontal asymptote states that the graph of a function approaches but never touches.

Therefore, the equation of the line for its asymptote is, y = -2.

2)

here, parent function f(x) = (\frac{1}{3})^x.

Vertical shifts: To translate the function f(x)  vertically, you can use the function g(x) = f(x) + k

if:

  • k > 0,  the graph of f(x) translated k units up.
  • k < 0 , the graph of f(x) translated k units down.

As you can see in the graph as shown below the parent function is translated 2 units down to get g(x).

i.e,

g(x) =(\frac{1}{3})^x - 2.

Therefore, the function g(x) = \frac{1}{3})^x - 2  is the transformation of the parent functionf(x).


8 0
3 years ago
Read 2 more answers
Each unit on the map represents 1 mile. To the nearest tenth of a mile, what is the distance from the
nexus9112 [7]

Answer:

5.8 miles

Step-by-step explanation:

Distance of library(3, 2) to the supermarket (6, 7) using distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Where,

(3, 2) = (x_1, y_1)

(6, 7) = (x_2, y_2)

Plug in the values into the formula

d = \sqrt{(6 - 3)^2 + (7 - 2)^2}

d = \sqrt{(3)^2 + (5)^2}

d = \sqrt{9 + 25}

d = \sqrt{34} = 5.8 miles (nearest tenth).

7 0
3 years ago
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