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mina [271]
3 years ago
8

What is the solution to the inequality? −6x+5>−1

Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

Answer:

\boxed{x

Step-by-step explanation:

-6x+5>-1\qquad\text{subtract 5 from both sides}\\\\-6x>-6\qquad\text{change the signs}\\\\6x

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What is the smallest and largest perimeter of a polygon with an area of 20?
DENIUS [597]

Answer:

The polygon with the smallest perimeter is the megagon

The polygon with the largest perimeter is the triangle

Step-by-step explanation:

An equilateral triangle with area = 20 has

0.5× a²×sin60 = 20

a= 6.796

Hence, perimeter = 20.39

A square of area 20 has perimeter= 4×√20 = 17.9

A regular pentagon of area = 20 has perimeter = 3.41 × 5 = 17.05

Hence as the number of sides is increasing, the ratio of the Area to the Perimeter also increases

Therefore, a triangle has the largest perimeter with an area of 20 while a megagon with a million sides has the smallest perimeter with an area of 20.

4 0
3 years ago
Eric randomly surveyed 150 adults from a certain city and asked which team in a contest they were rooting​ for, either North Hig
sukhopar [10]

Answer:

d. We are 95% sure that between 52% and 68% of all adults in this city will root for North High School.

Step-by-step explanation:

A confidence interval of a proportion p% at the x% level with m% margin of error means that:

We are x% sure that the true mean of the population is in the interval from (p-x)% to (p+x)%.

So the correct answer is:

d. We are 95% sure that between 52% and 68% of all adults in this city will root for North High School.

7 0
3 years ago
Which function represents a reflection of f(x) = 2(0.35)x over the y-axis?
Zina [86]

The function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)

<h3>How to determine the reflection?</h3>

The equation is given as:

f(x) = 2(0.35)^x

The reflection of a function over the y-axis is :

f'(x) = f(-x)

So, we have:

f(-x) = 2(0.35)^(-x)

From the list of options, we have

h(x) = 2(0.35)^(-x)

Hence, the function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)

Read more about reflection at:

brainly.com/question/12040866

#SPJ1

4 0
2 years ago
Given the data set (200, 150, 325, 350, 100, 75), Find the range of the data set
andriy [413]
The range is just the distance between the biggest number
and the smallest one.

The biggest number on that list is  350 .
The smallest number on that list is  75 .

The range is from  75 to 350, or a distance of  275 .
4 0
3 years ago
What is 4/25 simplified
Ipatiy [6.2K]
4/25 is already simplified
5 0
4 years ago
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