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3 years ago

Five fewer than x is at most eighteen. What is the solution set for x?

Mathematics

2 answers:

Colt1911 [192]3 years ago

6 0

Write it out as an equation
x-5 <= 18
Then move the 5 to the other side by adding
x <= 23

natita [175]3 years ago

5 0

X - 5 ≤ 18 , solve for x

Add 5 on both sides
x - 5 + 5 ≤ 18 + 5

Simplify
x ≤ 23

Answer
x ≤ 23

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Determine the equation of the line that passes through the points (-1 , 10) and (2,4)

docker41 [41]

Given:

The two points are (-1,10) and (2,4).

To find:

The equation of line which passes though the given points.

Solution:

If a line passes through two points, then the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The line passes through (-1,10) and (2,4). So, the equation of line is

$y-10=\dfrac{4-10}{2-(-1)}(x-(-1))$

$y-10=\dfrac{-6}{2+1}(x+1)$

$y-10=\dfrac{-6}{3}(x+1)$

$y-10=-2(x+1)$

Using distributive property, we get

$y-10=-2x-2$

Adding 10 both sides, we get

$y=-2x-2+10$

$y=-2x+8$

Therefore, the required equation of line is $y=-2x+8$ .

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3 years ago

Answer the question on the attachment

Nonamiya [84]

Answer:

The answer to your question is below

Step-by-step explanation:

Part A.

-3x + 7y = 13

Solve the equation for "y"

7y = 3x + 13

y = $\frac{3}{7} x + 13$

Part B.

Two lines are parallel if their slopes are the same

Two lines are perpendicular if their slope are opposite reciprocals

Slope of the first line = $\frac{3}{7}$

Slope of the second line = $\frac{3}{7}$

Conclusion: the lines are parallel because their slopes are the same.

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3 years ago

Which number line represents the solution?

Arturiano [62]

Is the problem already solved or does it need to be simplify

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3 years ago

Write the number 23.785 in expanded form and in word form

Anastasy [175]

Answer:

20+3+0.7+0.08+0.005

Step-by-step explanation:

can you follow me

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3 years ago

How do you find the least common multiple of 2 numbers? Preferably using the ladder method

g100num [7]

Hi,
Sorry, I don't use the ladder method, but I can show you how to find the least common multiple of 2 numbers using a different method:
Let's say we are finding the least common multiple of 3 and 9:

3: 3, 6, 9, 12, 15, 18
--
-------------------------------
9: 9, 18, 27, 36, 45, 54
--

All I did was list multiples of both the numbers till I found one that was common (however, in the example above, I listed a few extra)

Hope this helped
:)

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3 years ago