How do you find the rule using this tile pattern and this graph

(need desperate help so I’ll add you as brainliest)

Answer:

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Step-by-step explanation:

use substitution method

x+y = 42 ------ (1)

xy = 108 ------ (2)

from (1) ,

x+y = 42

y = 42-x ------ (3)

substitute (3) into (2)

xy = 108

x( 42-x ) = 108

42x - x² = 108

-x² + 42x - 108 = 0

x² - 42x + 108 = 0

use the following formula to solve the value of x:

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

a = 1

b = -42

c = 108

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]

[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 + 3 \sqrt{37} [/tex]

[tex]x = 39.25[/tex]

[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]

[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 - 3 \sqrt{37} [/tex]

[tex]x = 2.75[/tex]

the 2 values of x are x = 39.25 and x = 2.75

substitute x = 39.25 into (3)

y = 42-x

y = 42-39.25

y = 2.75

substitute x = 2.75 into (3)

y = 42-x

y = 42-2.75

y = 39.25

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Answer:

Total item = 364

Step-by-step explanation:

1 partridge for 12 days = 12 x 1 = 12

2 turtle doves for 11 days = 11 x 2 = 22

3 french hens for 10 days 10 x 3 = 30

4 calling birds for 9 days = 9 x 4 = 36

5 gold rings for 8 days = 8 x 5 = 40

6 geese a-laying for 7 days = 7 x 6 = 42

7 swans a-swimming for 6 days = 6 x 7 = 42

8 maids a-milking for 5 days = 5 x 8 = 40

9 ladies dancing for 4 days = 4 x 9 = 36

10 lords a-leaping for 3 days = 3 x 10 = 30

11 pipers piping for 2 days = 2 x 11 = 22

12 drummers drumming for 1 day = 1 x 12 = 12

Total item = 364

9514 1404 393

Answer:

  A.  6, 24, 96, 384

Step-by-step explanation:

The recursive formula tells you that the next number in sequence is 4 times the previous one.

For first term 6, the second term is 4·6 = 24.

For 2nd term 24, the third term is 4·24 = 96.

For 3rd term 96, the fourth term is 4·96 = 384.

The first four terms of the sequence are ...

  6, 24, 96, 384

__

You don't even need to figure all four terms. You know immediately which sequence is correct once you have found ...

  [tex]G_2=4*G_1=4*6=24[/tex]

Answer:

x=  3x=17/4

Step-by-step explanation:

Answer:

X=11

Step-by-step explanation:

-6x both sides of = sign

+ 15 both sides of = sign

x=11

Answer:

The correct answer would be A. I have attached a picture of how to solve it below. Please have a look at it and give the crown.

Answer:

10/18 or 25/45

Step-by-step explanation

Answer:

x = 9

m<b = 54

m<e = 54

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3,5

,5,0

Answer:

x intercept: 10, y intercept: -8

Step-by-step explanation:

make into y = mx + b

4x = 5y + 40

4x - 40 = 5y

y = 4/5x - 8

plug in 0 for x, to find y intercept

y = -8

plug in 0 for y, to find x intercept

0 = 4/5x - 8, x = 10

Answer:

105 minutes= 1 hour and 45 minutes

Answer:

1 hour and 45 minutes

or

1.75 hours

Answer: 192 cubic inches

Step-by-step explanation:

Answer:

I'm not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

12<18/3(-2)+12  turns into 12<18/-6+12

False

Answer:

c+35/100c

Step-by-step explanation:

Answer:

Multiple choice?

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

If f(x)=0, then x=-5

Drawing the line y=0 shows this visually

Answer:

1) solve x+1/x = 5

[tex] \frac{x + 1}{x} = 5[/tex]

[tex]x + 1 = 5x[/tex]

[tex]x - 5x = - 1[/tex]

[tex] - 4x = - 1[/tex]

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

[tex]x = \frac{1}{4} [/tex]

2) solve x³+1/x³

[tex]x {}^{3} + \frac{1}{x {}^{3} } [/tex]

substitute x = 1/4 into the expression

[tex]( \frac{1}{4} ) {}^{3} + \frac{1}{( \frac{1}{4}) {}^{3} } [/tex]

[tex] \frac{1}{64} + \frac{1}{ \frac{1}{64} } [/tex]

[tex] \frac{1}{64} + \frac{64 \times 1}{1} [/tex]

[tex] \frac{1}{64} + 64[/tex]

[tex] \frac{4097}{64} \: or \: 64.02[/tex]

Answer:

7

40

the answer is 7 fortyths

working out

3 quarters - 3 eighths = 3 eighths*7 nineths= 7 twentyforths

5 sixths +1 third + 1 half = 10 sixths

7 twentyforths divided by 10 sixths= 7 fortyths

Given:

Louisa has a goal of collecting 100 pounds of dog food for a local shelter.

The table of values which represents the number of pounds of food she collects each week.

To find:

The number of more pounds of dog food Louisa need to reach her goal.

Solution:

For first week = 20.5 pounds

For second week = [tex]18\dfrac{3}{4}=18.75[/tex]

For third week = 32.75

Now,

[tex]\text{Remaining pounds of dog food Louisa needs}=100-(20.5+18.75+32.75)[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=100-72[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=28\text{ Pounds}[/tex]

Therefore, the correct option is C.

Answer:

Non il n'a pas besoin de couvrir le jardin

Step-by-step explanation:

Comme à 16h il fait 5°C, on enlève 0.5°C toutes les deux heures donc à 18h il fera 4.5°C, à 20h il fera 4°C, à 22h il fera 3.5°C, à 0h il fera 3°C, à 2h il fera 2.5°C et à 4h la dernière heure où la température baisse il fera 2°C

Answer:

26.55°C

Step-by-step explanation:

21.85 + 4.7

Average maximum daily temperature = 21.85°C

Average minimum temperature = - 4.7°C

The average daily maximum temperature is x°C higher than the average daily minimum temperature ;

x = (maximum temperature - minimum temperature)

x = (21.85 - (-4.7))°C

x = (21.85 + 4.7)°C

x = 26.55°C

Hence, The average daily maximum temperature is 26.55°C higher than the average daily minimum temperature

Answer:

one

Step-by-step explanation:

we look at the point the y axis and the x axis meets and we read the value of the cordinates to get the value required,,for this case only one value will be read,,at the point y meets x,,

Answer:

270 feet.

Step-by-step explanation:

90 multiplied by three is 270. And a baseball field is square (obvi.) which means from one base to the next would still be 90.

Hope this helps!

Answer:

well 270 if you run all around. but 90 if going straight from home to third.

Step-by-step explanation:

the lines all around are congruent determined by the dashes in the middle so each line is 90 feet, so multiplied by three, you get 270 if running all around.

Answer:

The cost of a gym membership would be 109

Step-by-step explanation:

2009-1995=14

thats how many years apart from each other

so its been 14 years $6 for each year so 14x6=84

so the regular price was $25 and went up 84 dollars last 14 years.

25+84=109 so the price of gym membership would be $109

Answer:

The answer is 24in a am very sure

Step-by-step explanation:

Answer: The missing side is 24 inches

Step-by-step explanation:

Since it is a right angle that  means that we can use the Pythagorean Theorem formula to solve for   the B.

The formula says that  a^2 + b^2 = c^2   Since we know  a is 18 and c is 30 we will input the value into the formula to solve for b.

18^2 + b^2 = 30^2

324 + b^2 = 900

-324               -324

  b^2 = 576

  b = [tex]\sqrt{576}[/tex]  

  b  = 24

Divide the amount spent by the weight:

6.28 / 3/4 = 8.37

Unit price is $8.37 per pound

Answer: The slope is -5/7

Step-by-step explanation:

Slope is rise/run

The rise is -5, and the run is 7

This is why the slope is -5/7

Answer:

The rise is 6 and the run is 7 6/7

Answer:

1/3 is the slope of the line

the yellow one is correct