Write an equation in slope-intercept form of a line that passes through the point (-4,9) and has a slope of 1/2.

[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5}) } \\ [/tex]

[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5} )} \times \frac{(3 - \sqrt{5} )}{(3 - \sqrt{5}) } \\ [/tex]

[tex] = \frac{1(3 - \sqrt{5}) + \sqrt{5} (3 - \sqrt{5} )}{ ({3})^{2} - { (\sqrt{5} })^{2} } \: \: [∵ {a}^{2} - {b}^{2} = (a + b)(a - b) ]\\ [/tex]

[tex] = \frac{3 - \sqrt{5} + 3 \sqrt{5} - 5 }{9 - 5} \\ [/tex]

[tex] = \frac{ - 2 + 2 \sqrt{5} }{4} \\ [/tex]

[tex] = \frac{2( - 1 + \sqrt{5} )}{4} \\ [/tex]

[tex] = \frac{ - 1 + \sqrt{5} }{2} \\ [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{}}}}}[/tex]

Replace t with the months given as choices to see which one gives a positive value as an answer.

P(1) = 1^4-9(1)^3 + 24(1)^2-20(1) = -4

P(2) = 2^4-9(2)^3+24(2)^2-20(2) = 0

P(3) = 3^4 -9(3)^3+24(3)^2-20(3) = -6

P(5) = 5^4-9(5)^3+24(5)^2-20(5) = 0

P(6) = 6^4-9(6)^3+24(6)^2-20(6) = 96

It shows a profit in month 6 so it would start showing a profit in month 5.

The answer is 5 months

Answer:

(-6, 3)

Step-by-step explanation:

If you rotate the coordinates, (2, -3), 90° clockwise around the point, (1, 4), then it will become Point P' at (-6, 3). There isn't a very efficient way to explain this but since Point P is 7 units south and 1 unit east of (1, 4) we need to keep it the same distances away when we turn it 90°. You can use something like parchment paper, record the point you're turning it around, (1, 4), and the point to be turned, Point P at (2, -3). If you rotate it exactly 90° without ever moving the point on (1, 4), Point P should now be at (-6, 3) if that makes sense.

Answer:

4 and 5, closer to 4

Step-by-step explanation:

hope that helps>3

G = A/4

Solve for A by multiplying both sides by 4:

A = 4G

Answer:

f(- 4) = 12

Step-by-step explanation:

To evaluate f(- 4) substitute x = - 4 into f(x) , that is

f(- 4) = - 8 - 5(- 4) = - 8 + 20 = 12

f(x)=-8-5x

[tex]\\ \rm\longmapsto f(-4)[/tex]

[tex]\\ \rm\longmapsto -8-5(-4)[/tex]

[tex]\\ \rm\longmapsto -8+20[/tex]

[tex]\\ \rm\longmapsto 12[/tex]

Answer:

refer pic

sorry for messy handwriting

hope it help u and i appreciate if you give brainliests, thanks

Answer:

Image result for 1.117 ounces of orange juice in a 6.25-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT orange juice

In the US, reduced- acid orange juice is marketed to persons with sensitive stomachs. Orange juice concentrate can be bought with different ratios – typical values lie between 14 and 17. Juice acidity is measured using a chemical titration method. Orange juice contains acids that release hydrogen ions (H+) in solution.

Step-by-step explanation:

Answer:

40:3

Step-by-step explanation:

1.6kg:120g

1600g:120g

1600:120

160:12

80:6

40:3

Answer:

10

Step-by-step explanation:

f(x)=x

subtitute 10 in the place of x:

f(10)=10

Step-by-step explanation:

Solution,

Let the total number of books be x, then

Books in English language=4800

40% of x=4800

40/100×x=4800

40x/100=4800

40x=4800×100

40x=480000

x=480000/40

x=12000

So the total number of books in the library is 12000.

Answer: $ 927

Step-by-step explanation:

20% is deducted from his check.

20/100 = x/4635 (cross multiplication)

= $927

The deducted amount for each month will be $77.25.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Fred's health insurance premium is $4635 annually.

And, His employer pays 80% and he is paid monthly.

Now,

Since, His employer pays 80% and he is paid monthly.

Hence, The percent of deducted salary = 20%

So, The deducted amount of each month = 20% of $4,635 / 12

                                                                = 20/100 × 4635 / 12

                                                                = $927 / 12

                                                                = $77.25

Thus, The deducted amount of each month = $77.25

Learn more about the percent visit:

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Answer:

1)rs.6000

Step-by-step explanation:

1)30 000*20/100=rs.6000

Sorry I don't know the answers for other questions cause I don't know outright price

Answer:

Step-by-step explanation:

20% of juice has:

If x cups of juice added we'll have:

Answer:

17.

9x - 2 = 8x + 6 (opposite angles on the transversal)

9x - 8x = 6+2

x = 8

18.

-5 + 21x + 15x +5 = 180 (angles on the same side of transversal add up to 180)

36x = 180

x = 180/36

x = 5

19.

9x + 4 + 95 = 180  (angles on the same side of transversal add up to 180)

9x + 99 = 180

9x = 180-99

9x = 81

x = 81/9

x = 9

20.

16x - 2 = 110 (opposite angles on the transversal)

16x = 110 +2

16x = 112

x = 112/16

x = 7

21.

29x + 4 = 31x -4 (opposite angles on the transversal)

4 + 4 = 31x - 29x

2x = 8

x = 8/2

x= 4

22.

12x + 2 + 6x + 16 = 180(angles on the same side of transversal add up to 180)

18x +18 = 180

18x = 180-18

18x = 162

x = 162/18

x = 9

Hello :D

2 x $20 = $40

$9.09 + $13.96 = $23.05

$40.00 - $23.05 = $16.95

The answer is $16.95. I hope this helps :)

Answer:

14,142.858

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

1/3 + 2/5 = 11/15

4/15 = 240

4/15 x = 240

4x = 3600

x= 900

Answer: x=1.8617                                                                                                                                                                

Step-by-step explanation: 9.4x+17.5                                                                     9.4x/9.4=17.5/9.4                                                                                                     x=1.8617                                                                                                                                                                  

9514 1404 393

Answer:

  g(x) = (x -3)² -6

Step-by-step explanation:

You know that a function f(x) is translated h units to the right when x is replaced by x-h.

  g(x) = f(x-h) . . . . . translated h units right

You also know that a function f(x) is translated k units up when k is added to the function value.

  g(x) = f(x) +k . . . . . translated k units up

__

Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...

  g(x) = f(x -3) -6

Using the given definition of f(x), this becomes ...

  g(x) = (x -3)² -6

Answer:

0.49

Step-by-step explanation:

just convert 24/49 into a decimal

Answer:

2 + 2 = 4

Step-by-step explanation:

Logically, the response of 2 + 2 = 4. This is because the sign in the problem is addition. Another way to look it,  If we have 2 oranges and have another 2 oranges we have four oranges.

Answer:

1/4 chance

Step-by-step explanation:

First you need to find the probability of Tess choosing a red ribbon.

1/2

Then you need to multiply that probability by the reciprocal of 2, which is 1/2

1/2 x 1/2 = 1/4

Answer:

y = x/2 - 1

Step-by-step explanation:

Just throw everything to the right till only y is on the left side

X-2y-2=0

- 2y =-x+2

2y = x - 2

y = x/2 - 1