Is this relation a function? justify your answer

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A

B

C

D

Answer:

Solving the inequality: [tex]x - 2 > 2x + 12[/tex] we found the value of x: [tex]\mathbf{x<-14}[/tex]

Option D is correct option.

Step-by-step explanation:

We need to solve the inequality: [tex]x - 2 > 2x + 12[/tex] and find value of x

Solving the inequality

[tex]x - 2 > 2x + 12[/tex]

First of all, we will add 2 on both sides

[tex]x - 2+2 > 2x +12 +2\\x>2x+14[/tex]

Now, add -2x on both sides of inequality

[tex]x-2x>2x+14-2x\\-x>14[/tex]

Now, multiply both sides by -1, when multiplying by negative number, the inequality is reversed i.e. > will become <

[tex]-1*-x<14*-1\\x<-14[/tex]

So, solving the inequality: [tex]x - 2 > 2x + 12[/tex] we found the value of x: [tex]\mathbf{x<-14}[/tex]

Option D is correct option.

Answer:

The answer is option A

A) Circumference= 12[tex]\pi[/tex] m

Step-by-step explanation:

To find the circumference of a circle the formula you would use is C=2[tex]\pi[/tex]r

if the radius is 6 meters, C is

C = 2*6 [tex]\pi[/tex]r

C= 12[tex]\pi[/tex] m

The expression to represent the net yardage is 30.5x+12.9y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, gain 25x yards, gain 0.9y yards lose 12y yards and lose 5.2x yards.

Now, net yardage

= 25x+0.9y+12y+5.5x

= 30.5x+12.9y

Therefore, the expression to represent the net yardage is 30.5x+12.9y.

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Answer:

a. y = x/6 b. 3 heads of lettuce

Step-by-step explanation:

a. Write an algebraic expression Gio could use to determine how much lettuce he needs

Since Gio needs one head of lettuce for every 6 guests who attend, then, the number of lettuce y needed for x guests is one head of lettuce/6 guests × x guests is y = 1/6 × x

= x/6

b. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests

Since 18 guest come to the party, x = 6. So, y = x/6

= 18/6

= 3 heads of lettuce.

Answer:

-2/x

Step-by-step explanation:

simplified is y = -x/2 - 6

Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.

Example if slope= -2, the reciprocal= -1/2

Just flip the numerator with the denominator for perpendicular slope

Answer:

t ≤ − 4

Step-by-step explanation:

Answer: t ≤ -4

Step-by-step explanation:

rearrange the problem 24-(-6*t)≤0  Pull out like factors :24 + 6t  =   6 • (t + 4)

Divide both sides by 6    Subtract  4  from both sides t ≤ -4

Answer:

$267.5

Step-by-step explanation:

7% of 250=17.5. 250+17.5=267.5

Answer:

267.5

Step-by-step explanation:

250+7%=267.5

Hope this helps :)

Answer:

n=11

Step-by-step explanation:

Permutations

The formula to calculate permutations is:

[tex]\displaystyle nPm=\frac{n!}{(n-m)!}[/tex]

We know nP3=990. Substituting:

[tex]\displaystyle nP3=\frac{n!}{(n-3)!}=990[/tex]

Expanding the factorial in the numerator:

[tex]\displaystyle \frac{n(n-1)(n-2)(n-3)!}{(n-3)!}=990[/tex]

Simplifying:

[tex]n(n-1)(n-2)=990[/tex]

This equation can be easily solved by inspection. The product of three consecutive numbers resulting 990. Starting from greatest to smallest, those numbers are 11,10, and 9, thus:

[tex]n(n-1)(n-2)=11*10*9[/tex]

It follows that n=11

Answer:

4 1/8 ounces

Step-by-step explanation:

Total bag of chocolate chips Mary has = 16 1/2 ounces

She will only use 1/4 of the bag for decorating a cake.

How many ounces will she use for decorating

Ounces used in decoration = 1/4 of 16 1/2

= 1/4 × 33/2

= (1*33)/(4*2)

= 33/8

= 4 1/8 ounces of chocolate chips

She will use 4 1/8 ounces of chocolate chips for decorating a cake

Answer: A:500-300=4n and C:4n+300=500

Step-by-step explanation:

Answer:

The one on the graph

Step-by-step explanation:

Answer:

that help

Step-by-step explanation:

10h+27+−27=c+−27

10h=c−27

10h10=c−2710

h=110c+−2710

Answer:

h=110c+−2710

Answer:

a) h = 15

b) x = 4

Step-by-step explanation:

a) set up a proportion:

  5 = h

   8     24

cross-multiply:

8h = 120

h = 15

b) x + 5 = x + 5 + 15

   5x + 1    5x + 1 + 35

cross-multiply:

(x + 5)(5x + 36) = (5x + 1)(x + 20)

5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20

180 = 40x + 20

160 = 40x

x = 4

Answer:

a = -2, b = -3, c = 2

Step-by-step explanation:

We have the following three equations.

ab = 6

ac = -4

bc = -6

Multiply equation 2 and 3, we get

abc^2=24

Dividing it by the first equation, we get

c^2=4

c=2 or -2 (rejected since c is a positive integer)

We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.

Answer:

45495

Step-by-step explanation:

Answer:

10077

Step-by-step explanation:

A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P

t

​

=P

0

​

⋅2

d

t

​

, where P_tP

t

​

 is the population after t hours, P_0P

0

​

 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?

P_0=5400

P

0

​

=5400

The initial population

t=9

t=9

Time elapsed

d=10

d=10

The doubling time

P_t = P_0\cdot 2^{\frac{t}{d}}

P

t

​

=P

0

​

⋅2

d

t

​

P_t=5400\cdot 2^\frac{9}{10}

P

t

​

=5400⋅2

10

9

​

Plug in

P_t=10076.7563\approx10077

P

t

​

=10076.7563≈10077

Use parenthesis in the calculator for the exponent

Answer:

[tex]10\:\mathrm{meters}[/tex]

Step-by-step explanation:

We can use trigonometry for a right triangle to solve this problem:

[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].

The height of the flagpole is 10 meters.

"It is the angle from the horizontal upward to an object."

For given question,

Consider the following figure.

The angle of elevation is 18°

⇒ ∠ACB = 18°

Also, BC = 30 meters

We need to find the height of the flagpole i.e., we need to find the distance AB.

Consider a tan(∠ACB )

[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]

Therefore, the height of the flagpole is 10 meters.

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Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

Answer:

D

Step-by-step explanation:

Because pi never ends.

Hence, D (π) is a irrational number.

Answer:

7 / 15= 0.47

Step-by-step explanation:

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

From the question we are told that

Amount of water 1/4x

Gallons added 10

Amount of water after addition 2/3x

Where x is a full container

Generally the parameters above gives the equation

  [tex]\frac{1}{4}x +10=\frac{2}{3}x[/tex]

Therefore

  [tex]\frac{1}{4}x -\frac{2}{3}x =-10[/tex]

[tex]-\frac{5}{12}x =-10[/tex]

[tex]x =\frac{-10}{-\frac{5}{12}}[/tex]

[tex]x =24[/tex]

Therefore the container can hold 24 gallons of water

Answer:

x is in the top left of the triangle :)

Step-by-step explanation:

Answer:

its there....

Step-by-step explanation:

Answer:

52 students or 51

Step-by-step explanation:

9514 1404 393

Answer:

  x = 10√3

Step-by-step explanation:

The Pythagorean theorem tells you ...

  FB^2 = BC^2 +CF^2

  FA^2 = FB^2 +BA^2

Substituting for FB^2, we have ...

  FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2

  FA^2 = 3x^2

  FA = x√3 = 30 . . . . take the square root and substitute for FA

  x = 30/√3

  x = 10√3

Answer:

Step-by-step explanation:

It's a simple question as we know:

y-y1=m(x-x1)

y-20=12(x-3)

y=12x-36+20

y=12x-16

Now, your line is in slope intercept form you can compare it with

y=mx+c

m=12 and c=16. You can also put your point to verify your answer.

Answer:

Y = 10.25 or 10.247

Step-by-step explanation:

Alright So use the Formula A^2 + B^2 = C^2

You have one leg and the hypotenuse so first you are going to find 19 ^2 = 361.

Next, you need to find 16^2 = 256.

Last but not least, you subtract the leg from the hypotenuse, which equals 361-256=105

Finally, you take 105 and find its square root.

And depending on how far you round it down, your answer would be 10.25(that is in tenths), or 10.247(which is rounded to hundredths)

Hope this helps!

Answer:

there's no grid provided

Answer:

A. 35°C.

Step-by-step explanation:

35 C (Celsius), converted to F (Fahrenheit), would be 95. Which would make it a hot day.

So, you answer is 35°c.

did you get ittttt???

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