Consider the following incomplete mapping diagrams.
Diagram A
Diagram B
Diagram C
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Part A: Complete Diagram A so that it is a function.
Part B: Is it possible to complete Diagram B so that it is NOT a function of
so, complete the diagram to show a relation, but not a function. If
not, justify your reasoning.
Part C: Is it possible to complete the mapping diagram for Diagram C so
it represents a function? If so, complete the diagram to show a
function. If not, justify your reasoning.

Answer:

In 2008.

Step-by-step explanation:

The function:

[tex]y=4.2\sqrt{0.28x-1}[/tex]

Models the annual number of visitors to an amusement park, where y is the number of visitors (in millions) and x is the number of years since 1975.

We want to determine the first year in which the amusement park had 12 million visitors.

So, we will set y equal to 12 and solve for x. This yields:

[tex]12=4.2\sqrt{0.28x-1}[/tex]

By dividing both sides by 4.2, we acquire:

[tex]\displaystyle \frac{12}{4.2}=\frac{120}{42}=\frac{20}{7}=\sqrt{0.28x-1}[/tex]

And by squaring both sides:

[tex]\displaystyle \frac{400}{49}=0.28x-1[/tex]

Adding 1 to both sides produces:

[tex]\displaystyle \frac{400}{49}+1=\frac{449}{49}=0.28x[/tex]

And finally, dividing both sides by 0.28 gives us the approximation:

[tex]\displaystyle x=\frac{449}{49}\cdot \frac{1}{.28}=\frac{11225}{343}\approx32.72\approx33[/tex]

So, 33 years after 1975, the amusement park will have 12 million annual visitors.

Therefore, the first year in which the amusement park will have 12 million annual visitors is in the year 2008.

Final Answer: [tex]3x + 12[/tex]

Steps/Reasons/Explanation:

Question: Simplify the expression [tex]5x + 6(x - 2) - 8(x - 3)[/tex].

Step 1: Expand by distributing terms.

[tex]5x + 6x - 12 - 8(x - 3)[/tex]

Step 2: Expand by distributing terms.

[tex]5x + 6x - 12 - (8x - 24)[/tex]

Step 3: Remove parentheses.

[tex]5x + 6x - 12 - 8x + 24[/tex]

Step 4: Collect like terms.

[tex](5x + 6x - 8x) + (-12 + 24)[/tex]

Step 5: Simplify.

[tex]3x + 12[/tex]

~I hope I helped you :)~

I hate math

First thing's first, PEMDAS. There's nothing to solve in the parenthesis, and there are no exponents, so use multiplication next. 6 • (x-2) and -8 • (x-3)

Your equation after should be

5x + 6x - 12 - 8x + 24

Next would be addition, don't forget it's always left to right.

11x - 12 - 8x + 24

Subtract twelve from the total (or in this case just from 24, and then add the remaining values (that are possible).

11x - 8x + 12

Next, subtract the two remaining x values.

3x + 12

And there you have it. Easy peasy.

If the case is trying to find x, just solve it like this.

3x = -12

x = 4

Answer:

y=2x-2

I hope this helps:

Answer: 0.375

Step-by-step explanation:

Answer:

2 pt + 1c

Step-by-step explanation:

There are 2 cups in a pint. So, 2c = p, dividing 2 from both sides, we get

c = (1/2)p

Replace c with 1/2 p in the equation

5 pt - (2pt + (1/2)p)

= 5pt - 2pi - (1/2)p

= 3pt  - (1/2)p

= 2pt  + (1/2)p

Replace back (1/2)p for c

2pt  + (1/2)p =

2 pt + 1c

Answer:

5%

Step-by-step explanation:

33/650=0.0507

0.0507*100=5.07

Step-by-step explanation:

30% of lightbulbs = 45 lightbulbs

100% of lightbulbs

= 45 * (100/30) = 150 lightbulbs.

Hence there are 150 lightbulbs in the batch.

Answer:

155

Step-by-step explanation:

( 25 x 4 ) + ( 3 x 15 ) + 10 = 155

Answer:

D. [tex](5,6)[/tex]

Step-by-step explanation:

Let [tex]R(x,y) = (1,2)[/tex], we proceed to perform all operations described on statement:

1) Dilation

[tex]R'(x,y) = O(x,y) + k\cdot [R(x,y)-O(x,y)][/tex]  (1)

Where:

[tex]O(x,y)[/tex] - Point of reference.

[tex]R(x,y)[/tex] - Original point.

[tex]R'(x,y)[/tex] - Dilated point.

[tex]k[/tex] - Scale factor.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]R(x,y) = (1,2)[/tex] and [tex]k = 3[/tex], then the dilated point is:

[tex]R'(x,y) = (0,0) +3\cdot [(1,2)-(0,0)][/tex]

[tex]R'(x,y) = (0,0) +3\cdot (1,2)[/tex]

[tex]R'(x,y) = (3,6)[/tex]

2) Translation

[tex]R''(x,y) = R'(x,y) + T(x,y)[/tex] (2)

Where:

[tex]R'(x,y)[/tex] - Original point.

[tex]T(x,y)[/tex] - Translation point.

[tex]R''(x,y)[/tex] - Translated point.

If we know that [tex]R'(x,y) = (3,6)[/tex] and [tex]T(x,y) = (2,0)[/tex], then the translated vector is:

[tex]R''(x,y) = (3,6)+(2,0)[/tex]

[tex]R''(x,y) = (5,6)[/tex]

Therefore, the correct answer is D.

Answer:d

Step-by-step explanation:

Answer:

x = (7,0)

y = (0,1)

Step-by-step explanation:

Answer:

Muhammed

Step-by-step explanation:

Answer:

(95/12,0)

Step-by-step explanation:

Answer:

(7.916, 0)

Step-by-step explanation:

In order to find the X-intercept, let y=0

12x + 5(0) = 95

12x = 95

95/12x = 7.91666...

Therefore, the x intercept is (7.916, 0)

Answer:

Poop

Step-by-step explanation:

Answer:

The slope is undefined

Step-by-step explanation:

as - 4-2/-8-(-8)

Is - 6/0

Answer:

The common factors of 9 are  1, 3, and 9.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.

Answer:

8 7/99, Decimal. (8.07 repeated)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

7-(-3)

=7+3

=10

Hope this is helpful

Answer:

10

Step-by-step explanation:

Answer:

shouldn't it be u-107=191 because if 107 LESS then u is 191 then you would subtract 107 from u to get the 191

Answer:

EF = 8.8 cm

Step-by-step explanation:

In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]

[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]

262.44 = [tex]/EF/^{2}[/tex] + 184.96

[tex]/EF/^{2}[/tex] = 262.44 - 184.96

          = 77.48

EF = [tex]\sqrt{77.48}[/tex]

     = 8.8023

EF = 8.8 cm

The length of side EF is 8.8 cm.

Answer:

20

Step-by-step explanation:

Since 40% of the crew are men, which means n.40=8 n=8/.40 n=20 total number of crew 20 - 8=12 are women.

The number of people in the crew is 20.

Let the number of people in the crew be represented by x.

Therefore, 40% of x will be 8. This can then be written as:

40% of x = 8

40/100 × x = 8

0.4 × x = 8

0.4x = 8

Divide both side by 0.4

0.4x/0.4 = 8/0.4

x = 20

Therefore, the number of people in the crew is 20.

Read related link on:

https://brainly.com/question/20869258

Hi there! :)

[tex]\large\boxed{\text{ x = 9}}[/tex]

The two angles pictured are vertical angles, therefore:

8x - 6 = 6x + 12

Solve for x by subtracting 6x from both sides:

2x - 6 = 12

Add 6 to both sides:

2x = 18

Divide both sides by 2:

x = 9.

Answer:

9 is ur answer

Step-by-step explanation:

8x-6=6x+12

8x-6x=12+6

2x=18

x=9

Hope this helps u...

Answer:

y=x+2

Step-by-step explanation:

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

Answer:

in very much deed you do need help :)))))))

Answer:

[tex] \huge\boxed{\frac{1}{2} \times base \times height} \\ [/tex]

[tex] \frac{1}{2} \times 10 \times x = 50 \\ x = \frac{50 \times 2}{10} \\ \boxed{x = 10}[/tex]

Answer:

y = 9/7

Step-by-step explanation:

Answer:

Jk= 27

LM= 22

KL= 16

MJ=16

Answer:

JK=27

LM=27

KL=16

MJ=16

Step-by-step explanation:

JK=4x+7

=27

LM=5x+2

=27

KL=2y-2

=16

MJ=y+7

=16

so, JK= 27 and KL=16

(I hope u got it)