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3 years ago

Solve the inequality 2x < 6

Mathematics

1 answer:

Dima020 [189]3 years ago

8 0

Answer:

x < 3

Step-by-step explanation:

2x < 6

Divide each side by 2

2x/2 < 6/2

x < 3

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A line passes through (3, -2) and (6,2). Write an equation for the line in point-slope form.

snow_lady [41]

Answer:

4x - 3y -18 = 0 or y = 4x/3 - 6

Step-by-step explanation:

We will have to find the slope of the line first

The formula for slope:

$m =\frac{y_{2}- y_{1} }{x_{2} -x_{1} } \\m= \frac{-2-2}{3-6}\\ =\frac{-4}{-3}\\ =\frac{4}{3}$

The standard form of equation of a line is:

y = mx + b

We know m,

So the equation will be:

$y= \frac{4}{3}x+b$

We have to find the value of b, for that we will put any one of the point in the equation

So, putting (6,2)

2 = 4/3 * 6 + b

2 = 8 +b

b = -6

Putting the value of m and b in the standard form of equation of line,

$y = mx + b\\y = \frac{4}{3}x+(-6)\\y = \frac{4}{3} x - 6\\Multiplying\ both\ sides\ by\ 3\\3y = 4x - 18\\4x - 3y -18 = 0$ ..

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3 years ago

Convert the following equations from point-slope form to slope-intercept form.

mojhsa [17]

<h2>Answer:</h2>

We need to solve both for y.

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3 years ago

Mrs. Gammy divide 300 dollars equally among 5 fourth grade teachers. Mrs. Gammy to buy 12 hits that each cost the same amount. W

horrorfan [7]

Answer: The price of each gift is $5.

Step-by-step explanation:

Since we have given that

Amount = $300

Divided into equally among 5 fourth grade teachers.

so, Amount each fourth grade teacher would be

$\dfrac{300}{5}=\$60$

Since Number of hits that need to buy = 12

Each cost the same amount.

So, Price of each gift would be

$\dfrac{60}{12}=\$5$

Hence, the price of each gift is $5.

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3 years ago

Luna is going bowling. Shoe rental cost $3 and the lane cost $2 per game. If Luna paid a total of $17, how many games did she bo

Eduardwww [97]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Which of the following is a true statement describing the pattern 20, 25, 30, 35,…? The pattern contains only even numbers. The

evablogger [386]

In this pattern all are divisible by 5

20 $=4×5$ i.e. divisible by 5

25 $= 5×5$ is divisible by 5

30 $=2×3×5$ is divisible by 5

35 $=7×5$ is divisible by 5

Hence the pattern contain factor 5

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3 years ago