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3 years ago

What is the difference between the two inequalities? Explain.

Mathematics

1 answer:

iris [78.8K]3 years ago

8 0

Answer:

One includes 3 as a solution, one excludes it.

Step-by-step explanation:

Think about the difference between the phrase "they were shorter than me" and the phrase "they were no taller than me." In the first one, we're implying that this other person can't be as tall as you; their height has to be less than yours. In the second, we're allowing for the posibility that this person's height matches yours. x < 3 describes that first kind of scenario, while x ≤ 3 describes the second.

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(Please help) (one question) (NO LINKS)

Klio2033 [76]

Answer:

0.25

Step-by-step explanation:

hope that helps!!!!!!!!!!!!!!!!!!!! :)

4 0

3 years ago

Penny's function has an output that is four more than three times the input. Johns function expressed in slope-intercept form is

jonny [76]

John's function : y = 3.5x - 4
Penny's function : y = 3x + 4

C. John's function has a greater rate of change, because 3.5 > 3

5 0

3 years ago

How do I solve this?

andreev551 [17]

Answer:

x is in the range [-1,4]

Step-by-step explanation:

I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.

We are given the following inequality:

| 2x - 3 | <= 5

This implies two possible cases:

[1] -5 <= 2x -3

[2] 2x - 3 <= 5

So let's solve x for both of these cases:

[1] -5 <= 2x - 3

-2 <= 2x

-1 <= x

[2] 2x - 3 <= 5

2x <= 8

x <= 4

So from these cases, we can say the following is true:

x >= -1 and x <= 4

Thus, we can write this in the form

-1 <= x <= 4

Or in interval notation:

{ x is element of reals | -1 <= x <= 4}

Also written as

x is in the range [-1,4]

Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.

Cheers.

4 0

3 years ago

Jessie estimates the weight of her cat to be 10 pounds. The actual weight of the cat is 13.75 pounds. find the percent error.

romanna [79]

Answer:

$\large \boxed{27 \, \%} }$

Step-by-step explanation:

$\begin{array}{rcl}\text{Percent error}&= &\dfrac{\lvert \text{Measured - Actual}\lvert}{ \text{Actual}} \times100 \,\%\\\\& = & \dfrac{\lvert 10 - 13.75\lvert}{13.75} \times 100 \, \% \\\\& = & \dfrac{\lvert -3.75\lvert}{13.75} \times 100 \, \%\\ \\& = & \dfrac{3.75}{13.75} \times 100 \,\%\\\\& = & 0.27 \times 100 \, \%\\& = & \mathbf{27 \, \%}\\\end{array}\\\text{The percent error is $\large \boxed{\mathbf{27 \, \%} }$}$

3 0

2 years ago

K - 4.8=0.32 - 5.4k answer?

RSB [31]

Answer:

k =4/5

Step-by-step explanation:

$k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}$

5 0

2 years ago