Which number from the set {1, 2, 3,4} makes the inequality 5x² > 12x + 9 true for x?
Is it 1 or 2 or 3 or 4?

Answers

Answer 1

Answer:

4

Step-by-step explanation:

substitute the values from the set into the inequality and check validity.

x = 1

5(1)² > 12(1) + 9

5(1) > 12 + 9

5 > 21 ← False

x = 2

5(2)² > 12(2) + 9

5(4) > 24 + 9

20 > 33 ← False

x = 3

5(3)² > 12(3) + 9

5(9) > 36 + 9

45 > 45 ← False

x = 4

5(4)² > 12(4) + 9

5(16) > 48 + 9

80 > 57 ← True

thus the value 4 from the set makes the inequality true


Related Questions

Find the circumference of the circle.
10 cm
The circumference is cm.
(Type an exact answer in terms of t.)

Answers

Answer:

the answer is either one or two answers

62.83 or 31.42

Step-by-step explanation:

This is the formula i used.

C=2πr

Circumference = 2·π·5 ≈ 31.41593 / 2·π·10 ≈ 62.83185

therefore,

t = 31.41593

      or

t = 62.83185

When converting 6/81 into a decimal which is true.

Answers

Answer:

6/8 as a decimal is 0.75.


Is these true or false help out

Answers

Answer:

1. False

2. True

Step-by-step explanation:

1. 3v [tex]\geq[/tex] 60

3(10) [tex]\geq[/tex] 60

  30 [tex]\geq[/tex] 60

2. x + 18 < 32

  2 + 18 < 32

       20 < 32

Answer:

I have attached a picture of me solving it. Hope this helps, thank you !!

-3/4 × = 1/4 need Help to answer this question​

Answers

Answer:

x = -1/3

Step-by-step explanation:

step one - Simply both sides of the equation

step two - Multiply both side by 4/(-3)

Given the perimeter is 180cm what is the length and breadth of the rectangle?

Answers

Check out Kathy way tbh

Solve 5x -2.5 = 17.5

Answers

Answer:

x=4

Step-by-step explanation:

5x-2.5=17.5

5x=17.5+2.5

5x=20

x=20/5

x=4

The solution of the given equation is x=4

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We are given the equation as;

5x-2.5=17.5

Solving for x;

5x=17.5+2.5

5x=20

x=20/5

x=4

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Find the degree measure of each angle in the triangle.

Answers

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HELP!!! Bill paid $45in tax on a laptop that cost $500. What percent sales tax did Bill pay?

Answers

Answer:

He paid 9% in sales tax

Step-by-step explanation:


What are the coordinates of the x-intercept of the line 3x - 2y = 12?

Answers

Answer:

(4,0)

Step-by-step explanation:

what times 4/5 equals 3/4

Answers

Answer:

15/16

Step-by-step explanation:

4/5 x=3/4

x=(3/4)/(4/5)

x=15/16

Driving 65 mph, it takes Alicia 3 hours to reach the airport to go on a vacation. It then takes her 4 hours to get to her destination with the jet traveling at a speed of 400 mph. How many miles does Alicia travel to get to her destination?

Answers

Answer:

1,795 mi. traveled in total

Step-by-step explanation:

3 × 65 = 195 mi. driven by car

4 × 400 = 1,600 mi. flown by jet

1,600 + 195 = 1,795 mi. traveled in total.

The branch manager of an outlet (Store 1) of a nationwide

chain of pet supply stores wants to study characteristics of her

customers. In particular, she decides to focus on two variables: the

amount of money spent by customers and whether the customers

own only one dog, only one cat, or more than one dog and/or cat.

The results from a sample of 70 customers are as follows:

Amount of money spent: X = +21.34, S = +9.22.
Thirty-seven customers own only a dog.
Twenty-six customers own only a cat.
Seven customers own more than one dog and/or cat.
Construct a 95% confidence interval estimate for the
population mean amount spent in the pet supply store.

Construct a 90% confidence interval estimate for the population proportion of customers who own only a cat.
The branch manager of another outlet (Store 2) wishes to conduct

a similar survey in his store. The manager does not have access to

the information generated by the manager of Store 1. Answer the

following questions:

c. What sample size is needed to have 95% confidence of

estimating the population mean amount spent in this store

to within { +1.50 if the standard deviation is estimated to

be $10?

d. How many customers need to be selected to have 90% confidence of estimating the population proportion of customers who own only a cat to within {0.045?

e. Based on your answers to (c) and (d), how large a sample should the manager take?

Answers

Answer:

1. ( 19.1416, 23.5384,)

2. (0.276348, 0.46651)

3. the sample size = 170.73 approximately 171

4. sample size = 334.07 approximately 334

5. sample of 334 should be taken by manager

Step-by-step explanation:

mean = bar x = 21.34 dollars

size of sample n = 70

standard deviation of sample = 9.22

we use t distribution as the population standard deviation is not known.

95% Confidence interval

1-α = 0.95

α = 0.05

degree of freedom = 70-1 = 69

α/2 = 0.025

using the t distribution tsble,

= 1.9949

confidence interval = [tex]21.34+-1.9949*[\frac{9.22}{sqrt(70)}] \\[/tex]

= 21.34 +- (1.9949*1.10200)

= 21.34 + 2.1984, 21.34 - 2.1984

= (23.5384, 19.1416)

the confidence interval of the mean amount spent at the supply store can be written as 19.1416<u<23.5384

2. sixe of those who only have a cat

p = 26/70 = 0.371429

at 90 % confidence interval,

1-α = 0.90

α = 0.10

we use the z table here

z(0.10/2) = Z(0.05)

= 1.645

[tex]0.371429+-1.645\sqrt} \frac{0.371429(1-0.371429)}{70}[/tex]

= 0.371429 +-( 1.645 x 0.0578)

= 0.371429 + 0.095081, 0.371429 - 0.095081

= (0.276348, 0.46651)

3. sd = 10$

margin of erro,r e = 1.50$

α = 0.05

using z table

α/2 = Z0.025

= 1.96

sample size = 1.96² * 10² / 1.50²

= 3.8416 * 100/ 2.25

= 170.73

the sample size is approximately 171

d. we have 0.5 as sample proportion now

margin of error = 0.045

α = 0.10

Zα/2 = 0.05

= 1.645

sample size = 1.645²x0.5(1-0.5) / 0.045²

= 0.676506/0.002025

= 334. 07

sample size = 334

5.  sample of 334 should be taken by manager

The spinner is divided into 4 equal parts: yellow (Y), green, (G), blue (B) and red (R). Dorian says that if you spin the spinner twice, then there are exactly 12 possible outcomes. he lists the outcomes in a table. Which statement explains Dorian’s mistake?

Answers

Answer:

The spinner can land on the same color twice in a row, so there should be 16 possible outcomes

Step-by-step explanation:

4 possible outcomes with the same color

RR, OO, GG and BB.

Total Ways = 12+4=16

what is 99+44+44+44+$4+44+$4+44+44+44 = and my zodiac is pisces what about your guys zodiac

Answers

Answer:

415

Step-by-step explanation:

Mine is Capricorn

Answer:

I'm a September Libra


1. Each letter in VALENTINE is written on a separate piece of paper and put into a bag.
You randomly choose a piece of paper from the bag. Find the probability of choosing an
E

Answers

Answer:

2/9

Step-by-step explanation:

two e with a total of 9 letters

What is the solution to a system with parallel lines?

Answers

Step-by-step explanation:

no solution because they never intercept

Please help will give brainliest.

Answers

Answer:

D

Step-by-step explanation:

a is false since x could be 0.

b is easy to check, just plug numbers in, and we can see that it's false(you would get 0+0=1 and -0-0=-1 once plugged in)

c is also easy to check, just plot the line or simplify the first equation. since (2x+2y)/2=4/2 is also x+y=2, the second equation is also x+y=2, so it must have infinitely many solutions.

d must be true due to process of elimination but let's check to make sure.

7y=14x, divide both sides by 7 to get y=2x and since they're the same equation it must mean that they have infinitly many solutions and we can see that it is correct

When 5 randomly selected people all have the same birth month of March.

Answers

Answer:

I know 4 people that are all really close friends and all have birthdays in march.

Step-by-step explanation:

Find the total surface area of a rectangular prism with ?

Answers

Answer:

88 Squared units

Step-by-step explanation:

[tex]A=2*6*4+2*4*2+2*6*2=88unit^{2}[/tex]

which lists the multiple of 8 A. 8,16,24, 46 B.8,16,24,48 C.8,15,32,50 D.8,16,40,63

Answers

B. 8, 16, 24, 48

pls mark brainliest if helped c:

Multiply (3x +9)(2x - 5)​

Answers

[tex] {6x}^{2} + -15x + 18x -45[/tex]

hope that helped:)

Step-by-step explanation:

=(3x+9)(2x-5)

=3x(2x-5)+9(2x-5)

=6x²-15x+18x-45

=6x²+3x-45

hope it helps.

what is the value of y?(PLEASE ANSWER QUICKLY!!

5/16y=5/24

a.1/2
b.1/3
c.3/2
d.2/3

Answers

Answer:

The answer is D. 2/3

Step-by-step explanation:

We have to find out what number times 5/16 will equal 5/24. This isolates y.

You can plug in all the answers.

5/16 times 2/3 equals 5/24 which is the answer!

Answer:

D.2/3

Step-by-step explanation:


A flower bed has the shape of a rectangle 8 yards long and 3 yards wide. What is its area in square feet?

Answers

Answer:

the answer is 216 square feet because if you multiply 8 ×3=24 and 24×9=216.

HELP PLEASE!! thanks

Answers

Answer:

352

but for the 3 it would be 264

Which of the following measures could be used to make triangle?
2,9, 12
4,4,7
3,5,8

Answers

3,5,8. I think.

have a great day :)

it’s the second choice, 4,4,7. This adds up to 15. Use this chart to help remember what to add them up to.

234235342421323254123+323546534311234

Answers

Answer:

I gotchu.

Step-by-step explanation:

234235342421323254123+323546534311234 = 2.34235666E20

Have a good day! :)

120
'N
A) 350
C) 135
D) 120

Answers

Answer:

it is d 120

Step-by-step explanation:

Tripp swims 50 laps a day in
hopes of becoming a collegiate
swimmer. Write an equation to
represent y, the total number of
laps Tripp has swam after x
days.

Answers

Answer:

y = 50x

Step-by-step explanation:


If five times the square of a certain positive number is
decreased by twice the number, the result is 16. Find the
number [Only an algebraic solution will be accepted.]

Answers

Answer:

5 bud i think it this but i might be wrong

Charlotte used a calculator to subtract.
She copied her answers from the display, but her teacher said her answers were wrong! Tell how Charlotte got each wrong answer.
1. 204.59 – 23.67 = 0.92

2. 936.4 – 15.85 = 77.79

3. 56.3 – 27.04 = 19.26

Answers

Answer:

Step-by-step explanation:

1.  She omitted the 0 from the minuend, entering 24.59 instead of 204.59

2. She misplaced the decimal point of the minuend, entering 93.64 instead of 936.4

3. She typed 4 instead of 5 in the minuend, entering 46.3 instead of 56.3

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