Given 4y2 + x – 32y + 68 > 0, which ordered pair is part of the solution set? (–3, 5.7) (–5.9, 4) (–8, 5) (–13, 3)

Answers

Answer 1

Answer:

A. (-3, 5.7)

Step-by-step explanation:

Answer 2

Inequalities help us to compare two unequal expressions. The ordered pair that satisfies the given inequality is (–3, 5.7).

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The ordered pair that satisfies the given inequality is the solution set of the inequalities, the inequality can be written as,

[tex]4y^2+x-32y+68 > 0\\\\4y^2-32y+68 > -x[/tex]

Now, let's substitute the value of the first ordered pair, (–3, 5.7),

[tex]4(5.7)^2-32(5.7)+68 > -(-3)\\\\129.96-178.24+68 > 9\\\\19.72 > 9[/tex]

Since the inequality is satisfied the ordered pair is a set of solutions.

For the second ordered pair (-5.9,4),

[tex]4y^2-32y+68 > -x\\\\4(4)^2-32(4)+68 > -(-5.9)\\\\64-128+68 > 5.9\\\\4 > 5.9[/tex]

Since inequality is not true it is not the solution to the problem.

For the third ordered pair (-8, 5),

[tex]4y^2-32y+68 > -x\\\\4(5)^2-32(5)+68 > -(-8)\\\\64-128+68 > 8\\\\8 > 8[/tex]

Since inequality is not true it is not the solution to the problem.

For the fourth ordered pair (-13, 3),

[tex]4y^2-32y+68 > -x\\\\4(3)^2-32(3)+68 > -(-13)\\\\64-128+68 > 13\\\\8 > 13[/tex]

Since inequality is not true it is not the solution to the problem.

Learn more about Inequality:

https://brainly.com/question/19491153


Related Questions

WILL GIVE BRAINLIEST TO ANYONE WHO CAN HELP ME!!! PLEASE
Determine the domain and range of the function represented by the graph below.
Select one:
A. D: −4 −4

B. D: −2

C. D: −2≤x≤2; R: −2≤y≤2


D. D: −4

Answers

Answer:

the answer to this question is C. D: −2≤x≤2; R: −2≤y≤2

How long does it take $150 to grow to $600 at 5% annual percentage rate compounded continously? Round to the nearest whole number. Must show work.

Answers

Or, if your money is earning a 5 percent interest rate, you'll double it in 14.4 years (72 divided by 5 equals 14.4). If your money is earning a measly 1 percent interest rate, it will take you—yep, you guessed it—a whopping 72 years to double it.

Which point shown in the diagram matches the ordered pair (-3, 4)?

a)a

b)b

c)c

d)d

Answers

Answer:

C

Step-by-step explanation:

- means you go to the left on a graph (if the number is in the x position)  or down on a graph (if it's a negative in the y's place) in this case it's a negative 3 in the x's place so we go left 3 times. Then we go up 4 where we will meet the C coordinate.

The answer is c because it’s the only one that has a positive and a negative

Please show work! !!!!!!!!!!

Answers

Answer:

18 feet

Step-by-step explanation:

divide 12 by 2 and you have a side length, because of the midpoints

the perimiter in this case would be 6x3=18

18 feet yeah your welcome i can’t show my work i searched it up lol have good day

help it is due in 10 mins

Answers

Answer:

independent- hours

dependent- money earned

the amount of money you make depends on the amount of hours you babysit

y=8x

Step-by-step explanation:

These numbers are common multiples of ________.

6, 12, 18, 36

A) 2 and 4

B) 2 and 3

C) 3 and 4

D) 4 and 6

Answers

From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.

What are common multiples?

Common multiples are multiples that two or more numbers have in common. In other words, common multiples are numbers that are multiples of two or more given numbers.

To find the common multiples of 6, 12, 18, and 36, we can start by finding the prime factorization of each number:

6 = 2 x 3

12 = [tex]2^2[/tex] x 3

18 = 2 x [tex]3^2[/tex]

36 = [tex]2^2[/tex] x [tex]3^2[/tex]

To find the common multiples, we need to list the multiples of the largest number, which is 36, and check which ones are also multiples of the other numbers:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, ...

Therefore, From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.

To learn more about Common multiples from given link.

https://brainly.com/question/30060162

#SPJ1

Suppose you deposit $7500 $ 7500 in a savings account that has an interest rate of 512%. 5 1 2 % . If the interest is compounded monthly, what will the approximate balance of this savings account be after 3 3 years?

$8842

$7603

$14,424

$37,645

Answers

Answer:

8842

Step-by-step explanation:

The approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.

How to determine what will the approximate balance of this savings account be after 3 3 years

To calculate the approximate balance of the savings account after 33 years with monthly compounding interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Substituting the values into the formula:

A = $7500(1 + 0.0512/12)^(12*33)

Calculating inside the parentheses first:

A = $7500(1 + 0.00427)^(396)

Now, raising to the power:

A ≈ $7500(1.00427)^(396)

Evaluating this expression:

A ≈ $7500 * 56.951

A ≈ $425,632.50

Therefore, the approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.

Learn more about compounding interest at https://brainly.com/question/3989769

#SPJ2

Right answer gets brainlist

Answers

Answer:

1.67

Step-by-step explanation:

Do 15/9=1.67

Answer:

9 over 15

Step-by-step explanation:

Help me pls pls pls p

Answers

Answer:

L= 90, M=53, K=37

Step-by-step explanation:

Tilt your phone/computer to the right, and you'll see the 90° angle for L. Now you're left with two more, and just compare which angle is bigger, K or M. M is bigger, so you apply the bigger number out of the you got which is 53. Now no doubts, K is 37.

Quadratic form of f(x)=(x+7)^2

Answers

Answer:

x^2 + 14x + 49

Step-by-step explanation:

Use the distributive property:

(x + 7)(x + 7) = x^2 + 7x + 7x + 49 = x^2 + 14x + 49

PLEASE HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP

Answers

Answer:

I think 40 visitors

Step-by-step explanation:

I am not 100% sure

Answer:

c. 50 visitors

Step-by-step explanation:

you can see that hiking is 1/4th of the circle

because it is a right angle

Solve the system of
equation using the
elimination method.
2x + y = 4
x - y = 2

Answers

Answer:

x=2

y=0

Step-by-step explanation:

I use symbolab it helps

CAN ANYONE PLS HELPPP ME!!!!!!!!!! ITS DUE!!

Answers

Answer:

I agree with Mary

Step-by-step explanation:

Cone:

r = 8/2 = 4 ft

h = 16 - 12 = 4 ft

Volume = [tex]\frac{1}{3}\pi r^{2}h\\[/tex]

             [tex]= \frac{1}{3}*3.14*4*4*4\\\\=\frac{200.96}{3}\\\\= 66.98\\\\= 67 cubic feet\\[/tex]

Cylinder:

r = 4 ft

h= 12 ft

Volume = πr²h

              = 3.14*4*4*12

            = 602.88

           = 603 cubic feet

Step-by-step explanation:

the formular for finding the volume( how much it can contain in this instance) of the cone(spout) is

[tex] \frac{1}{3} \times \pi \times {r}^{2} \times l[/tex]

r is the radius of the cone l is the height of the cone π = 22/7

1/3 × 22/7 × 4 × 4 × 4

diameter divide by 2 gives the radius 8/2 = 4

the height of the whole shape - the height of the upper part(cylinder) gives the height of the cone

16 - 12 = 4

volume of spout(cone)=22/21 × 64 =67 cubic feet(f^3)

2 of 5
There are 6 times as many males as females on the maths course at university. What fraction
of the course are male?
Give your answer in its simplest form.

Answers

Answer:

Fraction of females enrolled in the course = 6 / 7

Step-by-step explanation:

Suppose that

Total Number of males = x  

Total Number of females = 6x  

Total Number of Students = 6x + x = 7x  

Now, we have to find the what fraction of the course females candidates constitute.  

Female Fraction = Total Females : Total Students  

Female Fraction = 6x : 7x  

Female Fraction = 6 : 7  

Female Fraction =  6 / 7

So Total number of females enrolled in the course constitute the fraction = 6 / 7

Cole has 12.4 meters of string. How
many feet of string is this?

Answers

Answer:

so practically, the only thing that we would do would be doing is converting the meters to feet 12.4 meters convert to feet would be 40.6 ft :)

Answer: To be exact, about 40.68241 feet, you can round to the nearest hundredths place to get 40.67

3. i will give brainliest if u get it right

Answers

Answer:

choice C) 44

Step-by-step explanation:

it's fuzzy but if I read it correctly,

5Z-16 = 3Z+8

2Z = 24

Z = 12

FG = 3(12) + 8

FG = 44

Can someone please check my answer?!

Answers

Answer:

You answered it correctly :)

Step-by-step explanation:

A membership at Gisele’s Gym costs $145 to join and $3 for each visit. A membership at Freddie’s Fitness costs $75 to join and $5 for each visit. Which location has a lower total cost for different numbers of visits? Write each number of possible visits from the box into the correct column in the table to show whether one location has a lower total cost, or the same total cost as the other location.

Answers

Step-by-step explanation:

You can do the equation 145+3v for Gisele’s Gym

For Freddie’s Fitness do the equation 75+5v and put in the number of visits for v

For example, for 33 visits Freddie’s fitness has a lower cost than Gisele’s gym. You could do 3x33 + 145 = ? for Gisele’s gym, and do 5x33 + 75 for Freddie’s Fitness, and then compare which one has a lower cost. But technically I just gave you one answer and shown you what you could do.

I’m not particularly sure if I’m correct but that’s how I would do it, sorry for the long wait, if you have any questions you can ask me :)

Find the surface area of the net.

Answers

Answer:

700

Step-by-step explanation:

5 x 20= 100

5 x 20= 100

10 x 20= 200

10 x 20= 200

5 x 10= 50

5 x 10= 50

100+100+200+200+50+50=700

Can anyone help me with this question?

Answers

Answer:

y=-3x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-2=-3(x+1)

y-2=-3x-3

+2    +2

y=-3x-1

125 = 5 missing exponent

Answers

Step-by-step explanation:

5³ that's yo answer!!!!!!!!!!!!!!?

can I have brainliest

Answer:

Well, I don't really understand the question, but if your looking for the missing exponent it would be:

125=5x

or 5^3 is 125.

Step-by-step explanation:

Belinda has a savings account. Every month she deposits $30 in it. The graph shows the relationship between the months and the balance of Belinda's savings account.

Write an inequality to show when Belinda will have more than $120 in her savings account.

Answers

Answer:

Lets say that m is months

Every month she deposits 30 so that is 30m

lets say t is time

t = 30m > 120

After 4 months, she will have exactly $120. In 5, she will have more.

Step-by-step explanation:

Please Help!!
On answering the questions

Answers

Answer:

They both have paper

Step-by-step explanation:

Crayons have paper wrapped around them and a newspaper is made of paper. & they both can be recycled

Write an equation of the line with the given​ slope, m, and​ y-intercept (0,b).
The equation is ______ m=0, b =-5
3.
​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answers

Answer:?

Step-by-step explanation:

Answer:

ur bad

Step-by-step explanation:


20 POINTS
The Constant of Proportionality is a constant rate of change that is equal for all given information.

true or false?

Answers

Answer:

It will be True

Hope it's help

HELPPP PLEASEEE I need it like for real

Answers

Answer:

51

Step-by-step explanation:

3 (x – 1 ) + 4 ( x + 2 )

Answers

Answer:

7x + 5

Step-by-step explanation:

Let's simplify step-by-step.

3(x−1)+4(x+2)

Distribute:

=(3)(x)+(3)(−1)+(4)(x)+(4)(2)

=3x+−3+4x+8

Combine Like Terms:

=3x+−3+4x+8

=(3x+4x)+(−3+8)

=7x+5

-Bacon

What is 0.22 divided by 11

Answers

Answer:

The answer is 0.02

This is the answer... 0.02

100 + 2x = 12x - 10
plsplsplspls help

Answers

Answer:

x=11

Step-by-step explanation:

100+2

Approximately 45% of films are rated R if 850 films were recently rated how many were rated R

Answers

Answer:

382.5?????

Step-by-step explanation:

because 850×45% its that

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