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:

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Related Questions

Which graph shows the zeros of the function f(x) = 2x2 + 4x – 6 correctly?​

Answers

Answer:

Divide through by  2  .

x2 - 2x - 3  =  0           What two numbers add to  -2  and multiply to  -3  ? →   +1   and   -3

                                  So...we can factor it like this...

(x + 1)(x - 3)  =  0        Set each factor equal to zero and solve for x.

x + 1  =  0          and          x - 3  =  0

x  =  -1               and          x  =  3

Step-by-step explanation:

James and Sarah went out to lunch. The price of lunch for both of them was $40. They tipped their server
10% of that amount.
How much did each person pay If they shared the price of lunch and the tip equally?
Each person pald

Answers

Answer:

20%

Step-by-step explanation:

Ian bought a can of soup to give to his friend.(Ian is cheap) Now he wants to wrap the entire soup can. If the can has a circular base with a diameter of 4 inches and a height of 6 inches, how much wrapping paper will Ian need?

Answers

Answer:10inches

Step-by-step explanation:

Ron is making a triangular frame for a garden using three lengths of wood. He has three pieces of wood that measure 3 feet, 8 feet, and 4 feet in length. Ron claims that he can make a triangular frame with these three pieces of wood. Do you agree with Ron? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

A side of the triangle must be shorter than the sum of the remaining two sides.

He cannot make a triangle with 3, 4, and 8.

Pls help me
I’m stuck on this question pls

Answers

yes it is a solution because the solution when you plug it in is correct

NEED HELP ASAP I WILL GIVE BRAINLIST


What is the value of x in this diagram?

A
28
B
33
C
43
D
47

Answers

Answer:

The angle X = 33° Brainliest pls!

Step-by-step explanation:

180-104 = 76, 76- 10 = 66, 66/2=33

Tony took out a loan for 7000 that has a intrest rate of 7.5% compounded annually after 15 years how much will the total loan amount be After 15 years how much will tony pay in intrest

Answers

Answer:

$7875

Step-by-step explanation:

Interest is calculated by the formula: I = Prt

I (interest)

P (principle)

r (rate)

t (time)

Substitute

I = (7000)(0.075)(15)

I = 7875

Thus, our interest is $7875

you are playing rock , paper , scissors with your friend . what is the probability that your will throw something other than rock ?
A. 1/2
B. 2/3
C. 1
D. 1/3

Answers

Answer:

2/3

Step-by-step explanation:

the correct answer would be 2/3

need help ASAP.
what is the best estimate for the value of the expression?

Answers

Answer:

11

Step-by-step explanation:

u do 4x5 which is 20

Circle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16.

Answers

Answer:

See solutions below

Explanation

We are to find the equation of circle A and B

The equation of a circle is expressed as;

(x-a)^2 + (y-b)^2 = r^2

(a, b) is the centre and r is the radius

For Circle A that has center of (6, 7), and a radius of 4

Substitute;

(x-6)^2 + (y-7)^2 = 4^2

(x-6)^2+(y-7)^2 = 16

Hence the equation of circle A is (x-6)^2+(y-7)^2 = 16

For circle B:

If circle B has a center of (2, 4), and a radius of 16

The equation is expressed as;

(x-2)^2+(x-4)^2 = 16^2

(x-2)^2+(x-4)^2 = 256

Hence the required equation is (x-2)^2+(x-4)^2 = 256

Will mark brainliest and give 11 points if you give explanation

Answers

Answer:

both A and E

Step-by-step explanation:

because most of 70% of the water is sea salt and clean water comes from frozen underground.

PLZ HELP ASAP I WILL GIVE BRAINLIEST
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below the question.

Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

A. 82/3.28

B. 4/3.28

C. 4/0.68

D. 82/0.68

Answers

Answer:

B.

Step-by-step explanation:

Answer:

B.

StartFraction 4 over 3.28 EndFraction

Step-by-step explanation:

lucy works for 37 hours per week. her weekly wage is £303.40. she receives a pay increase of 25p per hour. work out her new weekly wage

Answers

Answer:

312.65

Step-by-step explanation:

The new weekly wage is $312.65 if the Lucy works for 37 hours per week. Her weekly wage is £303.40.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Lucy works for 37 hours per week.

Weekly wage = $303.40

Per hour wage = 303.40/37 = $8.2 per hour

1 dollar = 100 penny(p)

25p = $0.25

New wage per hour = 8.2 + 0.25 = $8.45

Total wage = 8.45×37 = $312.65

Thus, the new weekly wage is $312.65 if the Lucy works for 37 hours per week. Her weekly wage is £303.40.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

my question is in the picture as well as the problem.​

Answers

Answer:

Smallest to largest:

1 out of 10, 2/5, 2 out of 3, .75, 7/8

Step-by-step explanation:

An easy way to do this is to write each in decimal form

2/3 = .666666......

2/5 = .4

7/8 = .875

.75

1/10 = .10

Smallest to largest:

1 out of 10, 2/5, 2 out of 3, .75, 7/8

Determine the are of the triangle

Answers

Answer:

25m

Step-by-step explanation:

The unit not to be used to find the triangle area is 25 because it is the hypotenuse and to find the area of a triangle you only need base and height. The base would be 24.6 and the height would be 7.3, which would both be needed in the equation.

You make 12 equal payments. You pay a total of $1728. How much is each payment?

Answers

Answer:

$144

Step-by-step explanation:

1728/12=144

PLEASE ANSWER!
The function shown is in the form y= x^2 + k. Determine the value of k.

A. -1
B. 0
C. 1
D. -1/2

Answers

I think the answer is - 1. I'm not sure

Write an
expression using scale factor, k, for each dimension?
1D
2D
3D

Answers

the correct answer is1D k 2D k 3Dk

PLZZZZ HELPPPPP BRAINLIEST REWARDD

Answers

Answer:

1) Growth

2) y = 3

Explanation:

1) y = a*b^x

   y = 3 + 2^x

2 > 1, so it's growth

how to solve this problem 8(x + 5)

Answers

8(x+5)
=8x+40
boom :)

Answer:

8x + 40

Step-by-step explanation:

Step 1: Expand by distributing terms.

8x+8x5

Step 2: Simplify 8x5 to 40 = 8x + 40

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The cost of renting ice skates at a skating is $1.25. The rink charges $3.25 for each hour, x, of skating. Which graph best models this situation, where y is the total cost to go skating?

Answers

Answer:

Step-by-step explanation:

y = 3.25x + 1.25

1.25 is y-intercept

3.25 is the slope of a graph.

If x = 0, then y = 1.25

(0, 1.25)

If x = 3, then y = 3.25(3) + 1.25 = 11

(3, 11)

It should be (3,11) goodluck

v/8=2
It's a one-step equation. How do I solve it?

Answers

Answer:

           Mutiplying both sides by 8

(v/8)×8 = v    and  2×8=16 so:

v/8 = 2

v = 16

Answer:

v = 16

Step-by-step explanation:

8 x 2 = 16

16/8 = 2

so v =16

1. Find the slope and the y-intercept
of the graph of the linear equation.
y = -7x + 2
A) slope: -3; y-intercept: 2
1
B) slope: 2; y-intercept: -7
C) slope: -7; y-intercept: 2
D) slope: 2; y-intercept: -7

Answers

Answer:

c) slope: -7 ; y-intercept: 2

Step-by-step explanation:

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Note in this case:

y = (-7)x + 2

y = y

m = -7

x = x

b = 2

c) slope: -7 ; y-intercept: 2 is your answer.

~

A quadratic function is represented by the graph. (graph below.) (do a-d.)

(a) What is the equation of the axis of symmetry of the function?
(b) What are the coordinates of the vertex of the function?
(c) What are the coordinates of the x-intercepts of the function?
(d) What are the coordinates of the y-intercept of the function?

Answers

Answer:

The axis of symmetry is x=1

The vertex is (1,-9)

The x-intercepts are (4,0) and (-2,0)

The y-intercept is (0,-8)

Step-by-step explanation:

axis of symmetry is the line where the vertex is, so in the quadratic of x^2, the axis of symmetry would be zero because half of the equation is on one side and the other half on the other side

The vertex is the lowest point on the quadratic, on the y values

the x-intercepts are the places the graph intercepts the x-axis.

The y-intercepts are the places the graph intercepts the y-axis

ask if u still have any questions!

If the Quadratic functions for the equations are graphed, which is the widest?
A. y = x^2
B. y = 2x^2
C. y = 6x^2
D. y = 1/4x^2

Answers

y = ax^2

If the absolute value of a is <1 the graph is wider than when a = 1

If the absolute value of a is >1 the graph is narrow than when a = 1

The only function that fits that description is  

y = 2x^2

Find the area of a circle with a circumference of 12.56 units​

Answers

Answer: The area is 12.55

How many moles contain 1.25x 10^15 molecules of glucose

Answers

Answer:

i.e. mass of 1 mole of glucose, C6H12O6 = (6 × 12.01 + 12 × 1.01 + 6 × 16.00) g = 180.18 g (using atomic weight data to 2 decimals) 1 mole of carbon atoms weighs 12.01 g and there are 6 moles of C atoms in 1 mole of glucose, so the mass of carbon in 1 mole of glucose = 6 × 12.01 g = 72.06 g.

Step-by-step explanation:

1\2+ 1/4 rasultado y explicasion

Answers

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Simplemente agregue usando la calculadora y debería obtener esta respuesta. ;)

I think it’s .75. Or like someone said 3/4

What is the inverse of the function f(x) = 2x - 10?

Answers

f(x)=2x-10

y=2x-10

x=2y-10

x+10=2y-10+10 (add both sides by 10)

2y=x+10

2y/2=x+10/2 (divide both sides by 2)

y=1/2x+5

Final Answer: f^-1(x)=1/2x+5

Mhanifa please c:



1) A principle of $300 was deposited in a savings account that pays 3.5 interest compounded yearly. Find the balance after 5 years.

2) UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound, and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?

Answers

Answer:

Step-by-step explanation:

300×1.035⁵ ≅ $356.31

:::::

UPS charge = 7 + (p-1)0.20 = 0.20p +6.80

FedEx charge = 5 + (p-1)0.30 = 0.30p + 4.70

0.30p + 4.70 = 0.20p +6.80

0.10p = 2.1

p = 21

They charge the same for 21 pounds.

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