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natulia [17]
3 years ago
15

Algerbra 1 what is the justification for each step

Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Hi there!

Here we go:

2x + 1 ≤ \frac{3(x+1)}{2}

You need to multiply each side of the equation by 2


4x + 2 ≤ 3(x + 1)

You need to distribute the 3 to the entire parentheses


4x + 2 ≤ 3x + 3

You need to subtract 3x from each side of the equation


x + 2 ≤ 3

You need to subtract 2 from each side of the equation


x ≤ 1


There you go! I really hope this helped, if there's anything just let me know! :)

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Which of the graphs below correctly solves for x in the equation −x2 − 3x − 1 = −x − 4?
Tanzania [10]
We have 
−x²<span> − 3x − 1 = −x − 4

let 
f(x)=</span>−x² − 3x − 1
g(x)= −x − 4
the solution for
f(x)=g(x) is the intersection both graphs

using a graph tool
see the attached figure

the solution are the points
(-3,-1)
and
(1,-5)

8 0
3 years ago
Read 2 more answers
Circle F has a diameter of 36m and = 240o. Find the length of . Leave your answer in terms of pi.
andrezito [222]

Answer:

So, the arc length is 24\pi

Step-by-step explanation:

We are given

diameter =36m

so, we can find radius

r=\frac{36}{2}=18m

and angle as

\theta=240

Since, it is in degree

so, we can change it in radian

\theta=240\times \frac{\pi}{180}

\theta=\frac{4\pi}{3}

now, we can find arc length

L=r\times \theta

now, we can plug values

L=18\times \frac{4\pi}{3}

L=24\pi


5 0
3 years ago
A nutritionist wants to know how the taste of artificial sweeteners impacts food choices of diabetic patients. From which group
kvasek [131]

The nutritionist should collect data from all diabetic patients to obtain accurate results.

<h3>What is the ideal population for this study?</h3>

This study aims at analyzing the food choices of diabetic patients. Because of this, the population studied should be diabetic patients including different types such as gestational, type I and II.

Moreover, because this affects to all diabetic patients, they all should be included even if they do not usually eat foods with arficial sweeteners.

Based on this, the best population is all diabetic patients.

Learn more about diabetic in: brainly.com/question/14823945

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6 0
2 years ago
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Students are selling raffle tickets for a school fundraiser. They collect $25 for every 10 raffle tickets sold. Rain equation th
Free_Kalibri [48]

Answer: m= $25/10 r

Step-by-step explanation:

Let m= money

r= raffle ticket

Then according to the statement

m= $25 for 10 tickets

so 10 tickets= $25

Or the equation goes,

m= $25/10 r

7 0
3 years ago
Question 12 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of and
andreev551 [17]

Complete question :

The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Answer:

0.10868

Step-by-step explanation:

Given that :

Mean (m) = 3.02

Standard deviation (s) = 0.29

Sample size (n) = 20

Probability of 3.10 GPA or higher

P(x ≥ 3.10)

Applying the relation to obtain the standardized score (Z) :

Z = (x - m) / s /√n

Z = (3.10 - 3.02) / 0.29 / √20

Z = 0.08 / 0.0648459

Z = 1.2336940

p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)

8 0
3 years ago
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